50.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.031 * * [simplify]: iteration 0: 9 enodes 0.034 * * [simplify]: iteration 1: 14 enodes 0.038 * * [simplify]: iteration 2: 24 enodes 0.044 * * [simplify]: iteration 3: 29 enodes 0.050 * * [simplify]: iteration complete: 29 enodes 0.050 * * [simplify]: Extracting #0: cost 1 inf + 0 0.050 * * [simplify]: Extracting #1: cost 2 inf + 0 0.050 * * [simplify]: Extracting #2: cost 11 inf + 0 0.050 * * [simplify]: Extracting #3: cost 7 inf + 44 0.050 * * [simplify]: Extracting #4: cost 0 inf + 763 0.051 * [simplify]: Simplified to: (sqrt (fma z z (fma y y (* x x)))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 3) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.091 * [backup-simplify]: Simplify (sqrt (fma z z (fma y y (* x x)))) into (sqrt (fma z z (fma y y (pow x 2)))) 0.091 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in (z y x) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in x 0.091 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2))) 0.091 * [taylor]: Taking taylor expansion of (* z z) in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.091 * [backup-simplify]: Simplify z into z 0.092 * [taylor]: Taking taylor expansion of z in x 0.092 * [backup-simplify]: Simplify z into z 0.092 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x 0.092 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.092 * [taylor]: Taking taylor expansion of (* y y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.092 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2)) 0.093 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.093 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in y 0.094 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in y 0.095 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2))) 0.095 * [taylor]: Taking taylor expansion of (* z z) in y 0.095 * [taylor]: Taking taylor expansion of z in y 0.095 * [backup-simplify]: Simplify z into z 0.095 * [taylor]: Taking taylor expansion of z in y 0.095 * [backup-simplify]: Simplify z into z 0.095 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y 0.095 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.095 * [taylor]: Taking taylor expansion of (* y y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.096 * [backup-simplify]: Simplify (* 0 0) into 0 0.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.096 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.096 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2)) 0.097 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.097 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.098 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z 0.099 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z 0.099 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2))) 0.099 * [taylor]: Taking taylor expansion of (* z z) in z 0.099 * [taylor]: Taking taylor expansion of z in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of z in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z 0.100 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.100 * [taylor]: Taking taylor expansion of (* y y) in z 0.100 * [taylor]: Taking taylor expansion of y in z 0.100 * [backup-simplify]: Simplify y into y 0.100 * [taylor]: Taking taylor expansion of y in z 0.100 * [backup-simplify]: Simplify y into y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.100 * [taylor]: Taking taylor expansion of x in z 0.100 * [backup-simplify]: Simplify x into x 0.100 * [backup-simplify]: Simplify (* 0 0) into 0 0.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.101 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2)) 0.101 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2)) 0.101 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2))) 0.102 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.102 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.102 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z 0.104 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z 0.104 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2))) 0.104 * [taylor]: Taking taylor expansion of (* z z) in z 0.104 * [taylor]: Taking taylor expansion of z in z 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of z in z 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z 0.104 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.104 * [taylor]: Taking taylor expansion of (* y y) in z 0.104 * [taylor]: Taking taylor expansion of y in z 0.104 * [backup-simplify]: Simplify y into y 0.104 * [taylor]: Taking taylor expansion of y in z 0.104 * [backup-simplify]: Simplify y into y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.105 * [taylor]: Taking taylor expansion of x in z 0.105 * [backup-simplify]: Simplify x into x 0.105 * [backup-simplify]: Simplify (* 0 0) into 0 0.105 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.105 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.106 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2)) 0.106 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2)) 0.106 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2))) 0.107 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.107 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.109 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.109 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.110 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [taylor]: Taking taylor expansion of 0 in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [taylor]: Taking taylor expansion of 0 in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) in y 0.115 * [taylor]: Taking taylor expansion of 1/2 in y 0.115 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y 0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.116 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.116 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.116 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.116 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.117 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.117 * [taylor]: Taking taylor expansion of 1/2 in x 0.117 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [taylor]: Taking taylor expansion of 0 in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.122 * [taylor]: Taking taylor expansion of 1/2 in x 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x 0.125 * [backup-simplify]: Simplify (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (/ 1 x))))) into (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) 0.125 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in (z y x) around 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in x 0.125 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 0.126 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [backup-simplify]: Simplify z into z 0.126 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.126 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [backup-simplify]: Simplify z into z 0.126 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.126 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x 0.126 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.126 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.128 * [backup-simplify]: Simplify (sqrt 1) into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in y 0.130 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in y 0.130 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 0.130 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [backup-simplify]: Simplify z into z 0.130 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.130 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [backup-simplify]: Simplify z into z 0.130 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.130 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.130 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.130 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (+ 0 1) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z 0.134 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z 0.134 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 0.134 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.135 * [taylor]: Taking taylor expansion of z in z 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z 0.135 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.135 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.135 * [taylor]: Taking taylor expansion of y in z 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.135 * [taylor]: Taking taylor expansion of y in z 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.135 * [taylor]: Taking taylor expansion of x in z 0.135 * [backup-simplify]: Simplify x into x 0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z 0.140 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z 0.141 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 0.141 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.141 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z 0.142 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.142 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.142 * [taylor]: Taking taylor expansion of x in z 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (sqrt 1) into 1 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [taylor]: Taking taylor expansion of 1 in x 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.147 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.147 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.149 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.149 * [taylor]: Taking taylor expansion of 1/2 in y 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.149 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.154 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.157 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2))) 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.157 * [taylor]: Taking taylor expansion of 1/2 in x 0.157 * [backup-simplify]: Simplify 1/2 into 1/2 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [taylor]: Taking taylor expansion of 0 in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [taylor]: Taking taylor expansion of 0 in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) 0.164 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y 0.164 * [taylor]: Taking taylor expansion of -1/2 in y 0.164 * [backup-simplify]: Simplify -1/2 into -1/2 0.164 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.164 * [taylor]: Taking taylor expansion of 1/2 in y 0.164 * [backup-simplify]: Simplify 1/2 into 1/2 0.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.165 * [taylor]: Taking taylor expansion of 1/4 in y 0.165 * [backup-simplify]: Simplify 1/4 into 1/4 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [backup-simplify]: Simplify 1/4 into 1/4 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.166 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.166 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.167 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2)) 0.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2))) 0.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.188 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.188 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.189 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 0 in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 0 in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z 0.194 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) 0.194 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in (z y x) around 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in x 0.194 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in x 0.194 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 0.194 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.194 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.194 * [taylor]: Taking taylor expansion of -1 in x 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of z in x 0.194 * [backup-simplify]: Simplify z into z 0.194 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.194 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.194 * [taylor]: Taking taylor expansion of -1 in x 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of z in x 0.194 * [backup-simplify]: Simplify z into z 0.195 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.195 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x 0.195 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.195 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [backup-simplify]: Simplify -1 into -1 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.195 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [backup-simplify]: Simplify -1 into -1 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.196 * [backup-simplify]: Simplify (sqrt 1) into 1 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in y 0.199 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in y 0.199 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 0.199 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.199 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.199 * [taylor]: Taking taylor expansion of -1 in y 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of z in y 0.199 * [backup-simplify]: Simplify z into z 0.199 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.199 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.199 * [taylor]: Taking taylor expansion of -1 in y 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of z in y 0.199 * [backup-simplify]: Simplify z into z 0.199 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.199 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.199 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.199 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.199 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.199 * [taylor]: Taking taylor expansion of -1 in y 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ -1 1) into -1 0.200 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.200 * [taylor]: Taking taylor expansion of -1 in y 0.200 * [backup-simplify]: Simplify -1 into -1 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ -1 1) into -1 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.200 * [backup-simplify]: Simplify (* -1 -1) into 1 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.204 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z 0.204 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z 0.204 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 0.204 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.204 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.204 * [taylor]: Taking taylor expansion of -1 in z 0.204 * [backup-simplify]: Simplify -1 into -1 0.204 * [taylor]: Taking taylor expansion of z in z 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ -1 1) into -1 0.204 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.204 * [taylor]: Taking taylor expansion of -1 in z 0.204 * [backup-simplify]: Simplify -1 into -1 0.204 * [taylor]: Taking taylor expansion of z in z 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ -1 1) into -1 0.205 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z 0.205 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.205 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.205 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.205 * [taylor]: Taking taylor expansion of -1 in z 0.205 * [backup-simplify]: Simplify -1 into -1 0.205 * [taylor]: Taking taylor expansion of y in z 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.205 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.205 * [taylor]: Taking taylor expansion of -1 in z 0.205 * [backup-simplify]: Simplify -1 into -1 0.205 * [taylor]: Taking taylor expansion of y in z 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.205 * [taylor]: Taking taylor expansion of x in z 0.205 * [backup-simplify]: Simplify x into x 0.205 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.206 * [backup-simplify]: Simplify (* -1 -1) into 1 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (sqrt 1) into 1 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z 0.210 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z 0.210 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 0.210 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.210 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.210 * [taylor]: Taking taylor expansion of -1 in z 0.210 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of z in z 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.211 * [taylor]: Taking taylor expansion of -1 in z 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of z in z 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ -1 1) into -1 0.212 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z 0.212 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.212 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.212 * [taylor]: Taking taylor expansion of -1 in z 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of y in z 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.212 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.212 * [taylor]: Taking taylor expansion of -1 in z 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of y in z 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.213 * [taylor]: Taking taylor expansion of x in z 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.213 * [backup-simplify]: Simplify (* -1 -1) into 1 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.222 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.222 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.222 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.224 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [backup-simplify]: Simplify 1/2 into 1/2 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [backup-simplify]: Simplify x into x 0.225 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.234 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.240 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2))) 0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.240 * [taylor]: Taking taylor expansion of 1/2 in x 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.249 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.249 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) 0.253 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y 0.253 * [taylor]: Taking taylor expansion of -1/2 in y 0.253 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y 0.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.254 * [taylor]: Taking taylor expansion of 1/2 in y 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.254 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.255 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y 0.255 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.255 * [taylor]: Taking taylor expansion of 1/4 in y 0.255 * [backup-simplify]: Simplify 1/4 into 1/4 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y 0.257 * [taylor]: Taking taylor expansion of 1/4 in y 0.257 * [backup-simplify]: Simplify 1/4 into 1/4 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [backup-simplify]: Simplify x into x 0.257 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.257 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.257 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.259 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2)) 0.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2))) 0.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.274 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.274 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.276 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z) 0.284 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 3) 0.284 * [backup-simplify]: Simplify (fma y y (* x x)) into (fma y y (pow x 2)) 0.284 * [approximate]: Taking taylor expansion of (fma y y (pow x 2)) in (y x) around 0 0.284 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x 0.284 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.284 * [taylor]: Taking taylor expansion of (* y y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y 0.285 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.285 * [taylor]: Taking taylor expansion of (* y y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y 0.285 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 0.285 * [taylor]: Taking taylor expansion of (* y y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.286 * [backup-simplify]: Simplify (* 0 0) into 0 0.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.286 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.287 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.289 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2)) 0.297 * [backup-simplify]: Simplify (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (/ 1 x))) into (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) 0.297 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in (y x) around 0 0.297 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x 0.298 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.298 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [backup-simplify]: Simplify y into y 0.298 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [backup-simplify]: Simplify y into y 0.298 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.299 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.299 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.301 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.301 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 0.301 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.315 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.317 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) 0.317 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in (y x) around 0 0.317 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x 0.317 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.317 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [backup-simplify]: Simplify y into y 0.317 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.317 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [backup-simplify]: Simplify y into y 0.317 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.319 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.319 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [backup-simplify]: Simplify -1 into -1 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [backup-simplify]: Simplify -1 into -1 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.320 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 0.320 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.320 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.320 * [taylor]: Taking taylor expansion of -1 in y 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ -1 1) into -1 0.320 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.320 * [taylor]: Taking taylor expansion of -1 in y 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ -1 1) into -1 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [backup-simplify]: Simplify (* -1 -1) into 1 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.336 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.339 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying: (expm1 (sqrt (fma z z (fma y y (* x x))))) (log1p (sqrt (fma z z (fma y y (* x x))))) (log (sqrt (fma z z (fma y y (* x x))))) (exp (sqrt (fma z z (fma y y (* x x))))) (* (cbrt (sqrt (fma z z (fma y y (* x x))))) (cbrt (sqrt (fma z z (fma y y (* x x)))))) (cbrt (sqrt (fma z z (fma y y (* x x))))) (* (* (sqrt (fma z z (fma y y (* x x)))) (sqrt (fma z z (fma y y (* x x))))) (sqrt (fma z z (fma y y (* x x))))) (sqrt (* (cbrt (fma z z (fma y y (* x x)))) (cbrt (fma z z (fma y y (* x x)))))) (sqrt (cbrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) (sqrt 1) (sqrt (fma z z (fma y y (* x x)))) (/ 1 2) (sqrt (sqrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) (expm1 (fma y y (* x x))) (log1p (fma y y (* x x))) (* y y) (log (fma y y (* x x))) (exp (fma y y (* x x))) (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x)))) (cbrt (fma y y (* x x))) (* (* (fma y y (* x x)) (fma y y (* x x))) (fma y y (* x x))) (sqrt (fma y y (* x x))) (sqrt (fma y y (* x x))) x z (* -1 z) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.339 * * [simplify]: iteration 0: 39 enodes 0.347 * * [simplify]: iteration 1: 57 enodes 0.366 * * [simplify]: iteration 2: 114 enodes 0.398 * * [simplify]: iteration 3: 274 enodes 0.523 * * [simplify]: iteration 4: 848 enodes 2.124 * * [simplify]: iteration 5: 3735 enodes 3.833 * * [simplify]: iteration complete: 5000 enodes 3.833 * * [simplify]: Extracting #0: cost 26 inf + 0 3.834 * * [simplify]: Extracting #1: cost 182 inf + 45 3.842 * * [simplify]: Extracting #2: cost 403 inf + 2596 3.873 * * [simplify]: Extracting #3: cost 109 inf + 53080 3.932 * * [simplify]: Extracting #4: cost 6 inf + 77989 3.995 * * [simplify]: Extracting #5: cost 0 inf + 79802 4.070 * [simplify]: Simplified to: (expm1 (sqrt (fma z z (fma y y (* x x))))) (log1p (sqrt (fma z z (fma y y (* x x))))) (log (sqrt (fma z z (fma y y (* x x))))) (exp (sqrt (fma z z (fma y y (* x x))))) (* (cbrt (sqrt (fma z z (fma y y (* x x))))) (cbrt (sqrt (fma z z (fma y y (* x x)))))) (cbrt (sqrt (fma z z (fma y y (* x x))))) (* (fma z z (fma y y (* x x))) (sqrt (fma z z (fma y y (* x x))))) (fabs (cbrt (fma z z (fma y y (* x x))))) (sqrt (cbrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) 1 (sqrt (fma z z (fma y y (* x x)))) 1/2 (sqrt (sqrt (fma z z (fma y y (* x x))))) (sqrt (sqrt (fma z z (fma y y (* x x))))) (expm1 (fma y y (* x x))) (log1p (fma y y (* x x))) (* y y) (log (fma y y (* x x))) (exp (fma y y (* x x))) (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x)))) (cbrt (fma y y (* x x))) (* (* (fma y y (* x x)) (fma y y (* x x))) (fma y y (* x x))) (hypot x y) (hypot x y) x z (- z) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x x)) 4.072 * * * [progress]: adding candidates to table 4.240 * * [progress]: iteration 2 / 4 4.240 * * * [progress]: picking best candidate 4.250 * * * * [pick]: Picked # 4.250 * * * [progress]: localizing error 4.255 * * * [progress]: generating rewritten candidates 4.255 * * * [progress]: generating series expansions 4.255 * * * [progress]: simplifying candidates 4.255 * [simplify]: Simplifying: 4.255 * * [simplify]: iteration 0: 0 enodes 4.255 * * [simplify]: iteration complete: 0 enodes 4.255 * * [simplify]: Extracting #0: cost 0 inf + 0 4.255 * [simplify]: Simplified to: 4.255 * * * [progress]: adding candidates to table 4.256 * * [progress]: iteration 3 / 4 4.256 * * * [progress]: picking best candidate 4.264 * * * * [pick]: Picked # 4.264 * * * [progress]: localizing error 4.266 * * * [progress]: generating rewritten candidates 4.266 * * * [progress]: generating series expansions 4.266 * * * [progress]: simplifying candidates 4.266 * [simplify]: Simplifying: 4.267 * * [simplify]: iteration 0: 0 enodes 4.267 * * [simplify]: iteration complete: 0 enodes 4.267 * * [simplify]: Extracting #0: cost 0 inf + 0 4.267 * [simplify]: Simplified to: 4.267 * * * [progress]: adding candidates to table 4.268 * * [progress]: iteration 4 / 4 4.268 * * * [progress]: picking best candidate 4.274 * * * * [pick]: Picked # 4.274 * * * [progress]: localizing error 4.276 * * * [progress]: generating rewritten candidates 4.276 * * * [progress]: generating series expansions 4.276 * * * [progress]: simplifying candidates 4.276 * [simplify]: Simplifying: 4.276 * * [simplify]: iteration 0: 0 enodes 4.277 * * [simplify]: iteration complete: 0 enodes 4.277 * * [simplify]: Extracting #0: cost 0 inf + 0 4.277 * [simplify]: Simplified to: 4.277 * * * [progress]: adding candidates to table 4.278 * [progress]: [Phase 3 of 3] Extracting. 4.278 * * [regime]: Finding splitpoints for: (# # # #) 4.278 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) z y x) 4.278 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 4.336 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.399 * * * * [regimes]: Trying to branch on z from (# # # #) 4.470 * * * * [regimes]: Trying to branch on y from (# # # #) 4.578 * * * * [regimes]: Trying to branch on x from (# # # #) 4.642 * * * [regime]: Found split indices: #