245.779 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.035 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.035 * * [simplify]: iteration 0: 9 enodes
0.038 * * [simplify]: iteration 1: 14 enodes
0.043 * * [simplify]: iteration 2: 24 enodes
0.050 * * [simplify]: iteration 3: 29 enodes
0.057 * * [simplify]: iteration complete: 29 enodes
0.057 * * [simplify]: Extracting #0: cost 1 inf + 0
0.057 * * [simplify]: Extracting #1: cost 2 inf + 0
0.057 * * [simplify]: Extracting #2: cost 11 inf + 0
0.057 * * [simplify]: Extracting #3: cost 7 inf + 44
0.058 * * [simplify]: Extracting #4: cost 0 inf + 763
0.058 * [simplify]: Simplified to:
  (sqrt (fma z z (fma y y (* x x))))
0.070 * * [progress]: iteration 1 / 4
0.070 * * * [progress]: picking best candidate
0.079 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))>
0.079 * * * [progress]: localizing error
0.102 * * * [progress]: generating rewritten candidates
0.102 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.105 * * * [progress]: generating series expansions
0.105 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.105 * [backup-simplify]: Simplify (sqrt (fma z z (fma y y (* x x)))) into (sqrt (fma z z (fma y y (pow x 2))))
0.105 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in (z y x) around 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in x
0.105 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in x
0.105 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.105 * [taylor]: Taking taylor expansion of (* z z) in x
0.105 * [taylor]: Taking taylor expansion of z in x
0.105 * [backup-simplify]: Simplify z into z
0.105 * [taylor]: Taking taylor expansion of z in x
0.105 * [backup-simplify]: Simplify z into z
0.106 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x
0.106 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.106 * [taylor]: Taking taylor expansion of (* y y) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.106 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.106 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.107 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.107 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in y
0.108 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in y
0.108 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.108 * [taylor]: Taking taylor expansion of (* z z) in y
0.108 * [taylor]: Taking taylor expansion of z in y
0.108 * [backup-simplify]: Simplify z into z
0.108 * [taylor]: Taking taylor expansion of z in y
0.108 * [backup-simplify]: Simplify z into z
0.108 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y
0.108 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.109 * [taylor]: Taking taylor expansion of (* y y) 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 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 (* z z) into (pow z 2)
0.109 * [backup-simplify]: Simplify (* 0 0) into 0
0.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.109 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.110 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.110 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.110 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.110 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.112 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z
0.112 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z
0.112 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.112 * [taylor]: Taking taylor expansion of (* z z) in z
0.112 * [taylor]: Taking taylor expansion of z in z
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of z in z
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z
0.112 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.112 * [taylor]: Taking taylor expansion of (* y y) in z
0.112 * [taylor]: Taking taylor expansion of y in z
0.112 * [backup-simplify]: Simplify y into y
0.112 * [taylor]: Taking taylor expansion of y in z
0.112 * [backup-simplify]: Simplify y into y
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.112 * [taylor]: Taking taylor expansion of x in z
0.112 * [backup-simplify]: Simplify x into x
0.113 * [backup-simplify]: Simplify (* 0 0) into 0
0.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.113 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.113 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2))
0.113 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.114 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.114 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.115 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z
0.115 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z
0.116 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.116 * [taylor]: Taking taylor expansion of (* z z) in z
0.116 * [taylor]: Taking taylor expansion of z in z
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of z in z
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z
0.116 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.116 * [taylor]: Taking taylor expansion of (* y y) in z
0.116 * [taylor]: Taking taylor expansion of y in z
0.116 * [backup-simplify]: Simplify y into y
0.116 * [taylor]: Taking taylor expansion of y in z
0.116 * [backup-simplify]: Simplify y into y
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.116 * [taylor]: Taking taylor expansion of x in z
0.116 * [backup-simplify]: Simplify x into x
0.117 * [backup-simplify]: Simplify (* 0 0) into 0
0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.117 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.117 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.117 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2))
0.117 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.118 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.119 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.119 * [taylor]: Taking taylor expansion of y in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.119 * [taylor]: Taking taylor expansion of x in y
0.120 * [backup-simplify]: Simplify x into x
0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.120 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.120 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.120 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.120 * [taylor]: Taking taylor expansion of x in x
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [taylor]: Taking taylor expansion of 0 in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [taylor]: Taking taylor expansion of 0 in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [taylor]: Taking taylor expansion of 0 in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.122 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [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)))))
0.124 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) in y
0.124 * [taylor]: Taking taylor expansion of 1/2 in y
0.124 * [backup-simplify]: Simplify 1/2 into 1/2
0.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
0.124 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
0.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.124 * [taylor]: Taking taylor expansion of y in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.125 * [taylor]: Taking taylor expansion of x in y
0.125 * [backup-simplify]: Simplify x into x
0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.125 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.125 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.125 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.126 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
0.126 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.126 * [taylor]: Taking taylor expansion of 1/2 in x
0.126 * [backup-simplify]: Simplify 1/2 into 1/2
0.126 * [taylor]: Taking taylor expansion of x in x
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [taylor]: Taking taylor expansion of 0 in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
0.143 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.143 * [taylor]: Taking taylor expansion of 1/2 in x
0.143 * [backup-simplify]: Simplify 1/2 into 1/2
0.143 * [taylor]: Taking taylor expansion of x in x
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
0.146 * [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)))))
0.147 * [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
0.147 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in x
0.147 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in x
0.147 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.147 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.147 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.147 * [taylor]: Taking taylor expansion of z in x
0.147 * [backup-simplify]: Simplify z into z
0.147 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.147 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.147 * [taylor]: Taking taylor expansion of z in x
0.147 * [backup-simplify]: Simplify z into z
0.147 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.147 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x
0.147 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.147 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.148 * [taylor]: Taking taylor expansion of y in x
0.148 * [backup-simplify]: Simplify y into y
0.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [backup-simplify]: Simplify (sqrt 1) into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.153 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in y
0.153 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in y
0.153 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.153 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.153 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.153 * [taylor]: Taking taylor expansion of z in y
0.153 * [backup-simplify]: Simplify z into z
0.153 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.153 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.153 * [taylor]: Taking taylor expansion of z in y
0.154 * [backup-simplify]: Simplify z into z
0.154 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.154 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y
0.154 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.154 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.155 * [taylor]: Taking taylor expansion of x in y
0.155 * [backup-simplify]: Simplify x into x
0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (+ 1 0) into 1
0.156 * [backup-simplify]: Simplify (+ 0 1) into 1
0.157 * [backup-simplify]: Simplify (sqrt 1) into 1
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.161 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z
0.161 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z
0.161 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.161 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.161 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.161 * [taylor]: Taking taylor expansion of z in z
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.161 * [taylor]: Taking taylor expansion of z in z
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z
0.162 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.162 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.162 * [taylor]: Taking taylor expansion of y in z
0.162 * [backup-simplify]: Simplify y into y
0.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.162 * [taylor]: Taking taylor expansion of y in z
0.162 * [backup-simplify]: Simplify y into y
0.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.163 * [taylor]: Taking taylor expansion of x in z
0.163 * [backup-simplify]: Simplify x into x
0.163 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.163 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (+ 1 0) into 1
0.164 * [backup-simplify]: Simplify (sqrt 1) into 1
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.168 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z
0.168 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z
0.168 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.168 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.168 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.169 * [taylor]: Taking taylor expansion of z in z
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.169 * [taylor]: Taking taylor expansion of z in z
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z
0.170 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.170 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.170 * [taylor]: Taking taylor expansion of y in z
0.170 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.170 * [taylor]: Taking taylor expansion of y in z
0.170 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.170 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.170 * [taylor]: Taking taylor expansion of x in z
0.170 * [backup-simplify]: Simplify x into x
0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.171 * [backup-simplify]: Simplify (* 1 1) into 1
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.175 * [taylor]: Taking taylor expansion of 1 in y
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of 0 in y
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [taylor]: Taking taylor expansion of 1 in x
0.175 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.178 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
0.178 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.178 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.180 * [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))))
0.180 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.180 * [taylor]: Taking taylor expansion of 1/2 in y
0.180 * [backup-simplify]: Simplify 1/2 into 1/2
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.180 * [taylor]: Taking taylor expansion of y in y
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (* 1 1) into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.181 * [taylor]: Taking taylor expansion of x in y
0.181 * [backup-simplify]: Simplify x into x
0.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (+ 1 0) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.184 * [taylor]: Taking taylor expansion of 0 in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.188 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
0.188 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.193 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
0.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
0.193 * [taylor]: Taking taylor expansion of 1/2 in x
0.193 * [backup-simplify]: Simplify 1/2 into 1/2
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.193 * [taylor]: Taking taylor expansion of x in x
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in x
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in x
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.201 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.201 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [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))))))
0.204 * [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
0.204 * [taylor]: Taking taylor expansion of -1/2 in y
0.204 * [backup-simplify]: Simplify -1/2 into -1/2
0.204 * [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
0.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
0.205 * [taylor]: Taking taylor expansion of 1/2 in y
0.205 * [backup-simplify]: Simplify 1/2 into 1/2
0.205 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
0.205 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.205 * [taylor]: Taking taylor expansion of x in y
0.205 * [backup-simplify]: Simplify x into x
0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.205 * [taylor]: Taking taylor expansion of y in y
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.206 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
0.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.206 * [taylor]: Taking taylor expansion of 1/4 in y
0.206 * [backup-simplify]: Simplify 1/4 into 1/4
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.206 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.206 * [taylor]: Taking taylor expansion of y in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
0.207 * [taylor]: Taking taylor expansion of 1/4 in y
0.207 * [backup-simplify]: Simplify 1/4 into 1/4
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.207 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.207 * [taylor]: Taking taylor expansion of x in y
0.207 * [backup-simplify]: Simplify x into x
0.207 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.207 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
0.208 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.209 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
0.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
0.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.223 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.223 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.225 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [taylor]: Taking taylor expansion of 0 in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 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
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.232 * [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)))))
0.232 * [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
0.232 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in x
0.232 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in x
0.232 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.232 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.232 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.232 * [taylor]: Taking taylor expansion of -1 in x
0.232 * [backup-simplify]: Simplify -1 into -1
0.232 * [taylor]: Taking taylor expansion of z in x
0.232 * [backup-simplify]: Simplify z into z
0.232 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.232 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.232 * [taylor]: Taking taylor expansion of -1 in x
0.232 * [backup-simplify]: Simplify -1 into -1
0.232 * [taylor]: Taking taylor expansion of z in x
0.232 * [backup-simplify]: Simplify z into z
0.233 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.233 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x
0.233 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.233 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.233 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.233 * [taylor]: Taking taylor expansion of -1 in x
0.233 * [backup-simplify]: Simplify -1 into -1
0.233 * [taylor]: Taking taylor expansion of y in x
0.233 * [backup-simplify]: Simplify y into y
0.233 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.233 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.233 * [taylor]: Taking taylor expansion of -1 in x
0.233 * [backup-simplify]: Simplify -1 into -1
0.233 * [taylor]: Taking taylor expansion of y in x
0.233 * [backup-simplify]: Simplify y into y
0.233 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [backup-simplify]: Simplify (+ 0 1) into 1
0.235 * [backup-simplify]: Simplify (+ 0 1) into 1
0.235 * [backup-simplify]: Simplify (sqrt 1) into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in y
0.238 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in y
0.238 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.238 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.238 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.238 * [taylor]: Taking taylor expansion of -1 in y
0.238 * [backup-simplify]: Simplify -1 into -1
0.238 * [taylor]: Taking taylor expansion of z in y
0.238 * [backup-simplify]: Simplify z into z
0.238 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.238 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.238 * [taylor]: Taking taylor expansion of -1 in y
0.238 * [backup-simplify]: Simplify -1 into -1
0.238 * [taylor]: Taking taylor expansion of z in y
0.238 * [backup-simplify]: Simplify z into z
0.238 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.238 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y
0.238 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.238 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
0.238 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.238 * [taylor]: Taking taylor expansion of -1 in y
0.238 * [backup-simplify]: Simplify -1 into -1
0.238 * [taylor]: Taking taylor expansion of y in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (/ -1 1) into -1
0.239 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.239 * [taylor]: Taking taylor expansion of -1 in y
0.239 * [backup-simplify]: Simplify -1 into -1
0.239 * [taylor]: Taking taylor expansion of y in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (/ -1 1) into -1
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [backup-simplify]: Simplify x into x
0.240 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.240 * [backup-simplify]: Simplify (* -1 -1) into 1
0.240 * [backup-simplify]: Simplify (+ 1 0) into 1
0.241 * [backup-simplify]: Simplify (+ 0 1) into 1
0.241 * [backup-simplify]: Simplify (sqrt 1) into 1
0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.245 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z
0.245 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z
0.245 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.245 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.245 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.245 * [taylor]: Taking taylor expansion of -1 in z
0.245 * [backup-simplify]: Simplify -1 into -1
0.245 * [taylor]: Taking taylor expansion of z in z
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (/ -1 1) into -1
0.245 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.245 * [taylor]: Taking taylor expansion of -1 in z
0.245 * [backup-simplify]: Simplify -1 into -1
0.245 * [taylor]: Taking taylor expansion of z in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (/ -1 1) into -1
0.246 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z
0.246 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.246 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.246 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.246 * [taylor]: Taking taylor expansion of -1 in z
0.246 * [backup-simplify]: Simplify -1 into -1
0.246 * [taylor]: Taking taylor expansion of y in z
0.246 * [backup-simplify]: Simplify y into y
0.246 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.246 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.246 * [taylor]: Taking taylor expansion of -1 in z
0.246 * [backup-simplify]: Simplify -1 into -1
0.246 * [taylor]: Taking taylor expansion of y in z
0.246 * [backup-simplify]: Simplify y into y
0.246 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.247 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.247 * [taylor]: Taking taylor expansion of x in z
0.247 * [backup-simplify]: Simplify x into x
0.247 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.247 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.247 * [backup-simplify]: Simplify (* -1 -1) into 1
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.248 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z
0.251 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z
0.251 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.251 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.251 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.251 * [taylor]: Taking taylor expansion of -1 in z
0.251 * [backup-simplify]: Simplify -1 into -1
0.251 * [taylor]: Taking taylor expansion of z in z
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (/ -1 1) into -1
0.252 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.252 * [taylor]: Taking taylor expansion of -1 in z
0.252 * [backup-simplify]: Simplify -1 into -1
0.252 * [taylor]: Taking taylor expansion of z in z
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (/ -1 1) into -1
0.252 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z
0.252 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.253 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.253 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.253 * [taylor]: Taking taylor expansion of -1 in z
0.253 * [backup-simplify]: Simplify -1 into -1
0.253 * [taylor]: Taking taylor expansion of y in z
0.253 * [backup-simplify]: Simplify y into y
0.253 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.253 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.253 * [taylor]: Taking taylor expansion of -1 in z
0.253 * [backup-simplify]: Simplify -1 into -1
0.253 * [taylor]: Taking taylor expansion of y in z
0.253 * [backup-simplify]: Simplify y into y
0.253 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.253 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.253 * [taylor]: Taking taylor expansion of x in z
0.253 * [backup-simplify]: Simplify x into x
0.253 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.254 * [backup-simplify]: Simplify (* -1 -1) into 1
0.254 * [backup-simplify]: Simplify (+ 1 0) into 1
0.254 * [backup-simplify]: Simplify (sqrt 1) into 1
0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.257 * [taylor]: Taking taylor expansion of 1 in y
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [taylor]: Taking taylor expansion of 0 in y
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [taylor]: Taking taylor expansion of 1 in x
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.260 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
0.261 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.261 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.262 * [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))))
0.262 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.262 * [taylor]: Taking taylor expansion of 1/2 in y
0.262 * [backup-simplify]: Simplify 1/2 into 1/2
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.263 * [backup-simplify]: Simplify x into x
0.263 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (+ 1 0) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.266 * [taylor]: Taking taylor expansion of 0 in x
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [taylor]: Taking taylor expansion of 0 in x
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [taylor]: Taking taylor expansion of 0 in x
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.270 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.270 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
0.270 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
0.272 * [taylor]: Taking taylor expansion of 0 in y
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.274 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
0.274 * [taylor]: Taking taylor expansion of 1/2 in x
0.274 * [backup-simplify]: Simplify 1/2 into 1/2
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in x
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in x
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.281 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.281 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [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))))))
0.287 * [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
0.287 * [taylor]: Taking taylor expansion of -1/2 in y
0.287 * [backup-simplify]: Simplify -1/2 into -1/2
0.287 * [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
0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
0.287 * [taylor]: Taking taylor expansion of 1/2 in y
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
0.287 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
0.287 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.287 * [taylor]: Taking taylor expansion of x in y
0.287 * [backup-simplify]: Simplify x into x
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.287 * [taylor]: Taking taylor expansion of y in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.288 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.288 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
0.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.288 * [taylor]: Taking taylor expansion of 1/4 in y
0.288 * [backup-simplify]: Simplify 1/4 into 1/4
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.288 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.288 * [taylor]: Taking taylor expansion of y in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
0.289 * [taylor]: Taking taylor expansion of 1/4 in y
0.289 * [backup-simplify]: Simplify 1/4 into 1/4
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.289 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.290 * [taylor]: Taking taylor expansion of x in y
0.290 * [backup-simplify]: Simplify x into x
0.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.290 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
0.290 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.291 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
0.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
0.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.304 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.304 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.305 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [taylor]: Taking taylor expansion of 0 in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in x
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in x
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in x
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.311 * * * [progress]: simplifying candidates
0.311 * [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)))))
  x
  z
  (* -1 z)
0.311 * * [simplify]: iteration 0: 26 enodes
0.319 * * [simplify]: iteration 1: 38 enodes
0.328 * * [simplify]: iteration 2: 51 enodes
0.336 * * [simplify]: iteration 3: 81 enodes
0.360 * * [simplify]: iteration 4: 139 enodes
0.407 * * [simplify]: iteration 5: 196 enodes
0.436 * * [simplify]: iteration 6: 259 enodes
0.480 * * [simplify]: iteration 7: 333 enodes
0.567 * * [simplify]: iteration 8: 517 enodes
0.912 * * [simplify]: iteration 9: 1203 enodes
3.432 * * [simplify]: iteration complete: 5000 enodes
3.432 * * [simplify]: Extracting #0: cost 16 inf + 0
3.433 * * [simplify]: Extracting #1: cost 200 inf + 4
3.438 * * [simplify]: Extracting #2: cost 1054 inf + 5220
3.445 * * [simplify]: Extracting #3: cost 1081 inf + 11726
3.467 * * [simplify]: Extracting #4: cost 870 inf + 224081
3.609 * * [simplify]: Extracting #5: cost 191 inf + 923935
3.789 * * [simplify]: Extracting #6: cost 4 inf + 1120816
3.996 * * [simplify]: Extracting #7: cost 0 inf + 1119932
4.167 * * [simplify]: Extracting #8: cost 0 inf + 1119678
4.356 * [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)))))
  x
  z
  (- z)
4.357 * * * [progress]: adding candidates to table
4.450 * * [progress]: iteration 2 / 4
4.450 * * * [progress]: picking best candidate
4.463 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
4.464 * * * [progress]: localizing error
4.465 * * * [progress]: generating rewritten candidates
4.465 * * * [progress]: generating series expansions
4.465 * * * [progress]: simplifying candidates
4.465 * [simplify]: Simplifying:
  
4.465 * * [simplify]: iteration 0: 0 enodes
4.465 * * [simplify]: iteration complete: 0 enodes
4.465 * * [simplify]: Extracting #0: cost 0 inf + 0
4.465 * [simplify]: Simplified to:
  
4.465 * * * [progress]: adding candidates to table
4.465 * * [progress]: iteration 3 / 4
4.465 * * * [progress]: picking best candidate
4.471 * * * * [pick]: Picked  #<alt (λ (x y z) (- z))>
4.471 * * * [progress]: localizing error
4.474 * * * [progress]: generating rewritten candidates
4.474 * * * [progress]: generating series expansions
4.474 * * * [progress]: simplifying candidates
4.474 * [simplify]: Simplifying:
  
4.474 * * [simplify]: iteration 0: 0 enodes
4.474 * * [simplify]: iteration complete: 0 enodes
4.474 * * [simplify]: Extracting #0: cost 0 inf + 0
4.474 * [simplify]: Simplified to:
  
4.474 * * * [progress]: adding candidates to table
4.475 * * [progress]: iteration 4 / 4
4.475 * * * [progress]: picking best candidate
4.478 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
4.478 * * * [progress]: localizing error
4.479 * * * [progress]: generating rewritten candidates
4.479 * * * [progress]: generating series expansions
4.479 * * * [progress]: simplifying candidates
4.479 * [simplify]: Simplifying:
  
4.479 * * [simplify]: iteration 0: 0 enodes
4.479 * * [simplify]: iteration complete: 0 enodes
4.479 * * [simplify]: Extracting #0: cost 0 inf + 0
4.479 * [simplify]: Simplified to:
  
4.479 * * * [progress]: adding candidates to table
4.479 * [progress]: [Phase 3 of 3] Extracting.
4.480 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.480 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) z y x)
4.480 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.548 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.619 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.679 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.745 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.828 * * * [regime]: Found split indices: #<option (#s(si 2 47) #s(si 0 120) #s(si 1 126) #s(si 0 215) #s(si 3 255))>
4.829 * [binary-search]: Improving bounds with binary search for z and (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.972 * [regimes]: Found splitpoints: (#s(sp 2 z -1.722077932407333e+118) #s(sp 0 z -9.284378369405582e-211) #s(sp 1 z -1.242347267252565e-225) #s(sp 0 z 5.001396056530514e+92) #s(sp 3 z +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.973 * [simplify]: Simplifying:
  (if (<= z -1.722077932407333e+118) (- z) (if (<= z -9.284378369405582e-211) (sqrt (fma z z (fma y y (* x x)))) (if (<= z -1.242347267252565e-225) x (if (<= z 5.001396056530514e+92) (sqrt (fma z z (fma y y (* x x)))) z))))
4.973 * * [simplify]: iteration 0: 20 enodes
4.974 * * [simplify]: iteration complete: 20 enodes
4.974 * * [simplify]: Extracting #0: cost 1 inf + 0
4.974 * * [simplify]: Extracting #1: cost 4 inf + 0
4.974 * * [simplify]: Extracting #2: cost 9 inf + 0
4.974 * * [simplify]: Extracting #3: cost 12 inf + 2
4.974 * * [simplify]: Extracting #4: cost 10 inf + 179
4.974 * * [simplify]: Extracting #5: cost 11 inf + 247
4.974 * * [simplify]: Extracting #6: cost 6 inf + 454
4.974 * * [simplify]: Extracting #7: cost 4 inf + 800
4.975 * * [simplify]: Extracting #8: cost 3 inf + 1124
4.975 * * [simplify]: Extracting #9: cost 1 inf + 2165
4.975 * * [simplify]: Extracting #10: cost 0 inf + 2922
4.976 * [simplify]: Simplified to:
  (if (<= z -1.722077932407333e+118) (- z) (if (<= z -9.284378369405582e-211) (sqrt (fma z z (fma y y (* x x)))) (if (<= z -1.242347267252565e-225) x (if (<= z 5.001396056530514e+92) (sqrt (fma z z (fma y y (* x x)))) z))))
6.517 * [regime-testing]: Baseline error score: 38.16722220630404
6.525 * [regime-testing]: Oracle error score: 18.616803329607045
6.542 * [regime-testing]: End program error score: 26.1451061681561
6.640 * [regime-testing]: Target error score: 25.866315832630136