68.748 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.026 * [progress]: [Phase 2 of 3] Improving.
0.026 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.026 * * [simplify]: iteration 0: 9 enodes
0.029 * * [simplify]: iteration 1: 13 enodes
0.032 * * [simplify]: iteration 2: 19 enodes
0.036 * * [simplify]: iteration 3: 20 enodes
0.040 * * [simplify]: iteration complete: 20 enodes
0.040 * * [simplify]: Extracting #0: cost 1 inf + 0
0.040 * * [simplify]: Extracting #1: cost 2 inf + 0
0.040 * * [simplify]: Extracting #2: cost 8 inf + 0
0.040 * * [simplify]: Extracting #3: cost 11 inf + 0
0.040 * * [simplify]: Extracting #4: cost 8 inf + 3
0.040 * * [simplify]: Extracting #5: cost 1 inf + 816
0.040 * * [simplify]: Extracting #6: cost 0 inf + 938
0.041 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
0.042 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.047 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.047 * * * [progress]: localizing error
0.065 * * * [progress]: generating rewritten candidates
0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.115 * * * [progress]: generating series expansions
0.115 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.115 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.115 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.115 * [taylor]: Taking taylor expansion of y in z
0.115 * [backup-simplify]: Simplify y into y
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.115 * [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
0.116 * [taylor]: Taking taylor expansion of (pow z 2) 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 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.116 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.116 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.116 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.116 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
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 (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.117 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.117 * [taylor]: Taking taylor expansion of x in y
0.117 * [backup-simplify]: Simplify x into x
0.117 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.117 * [taylor]: Taking taylor expansion of z in y
0.117 * [backup-simplify]: Simplify z into z
0.117 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.117 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.118 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.118 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.118 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.118 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.118 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.119 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.119 * [taylor]: Taking taylor expansion of y in x
0.119 * [backup-simplify]: Simplify y into y
0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.119 * [taylor]: Taking taylor expansion of x in x
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.119 * [taylor]: Taking taylor expansion of z in x
0.119 * [backup-simplify]: Simplify z into z
0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.119 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.119 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.119 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.119 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.119 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.119 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.120 * [taylor]: Taking taylor expansion of y in x
0.120 * [backup-simplify]: Simplify y into y
0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x
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
0.120 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.120 * [taylor]: Taking taylor expansion of z in x
0.120 * [backup-simplify]: Simplify z into z
0.120 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.121 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.121 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.121 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.121 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.121 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.121 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.123 * [taylor]: Taking taylor expansion of z in y
0.123 * [backup-simplify]: Simplify z into z
0.123 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.123 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.123 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.123 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.123 * [taylor]: Taking taylor expansion of z in z
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [taylor]: Taking taylor expansion of 0 in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [taylor]: Taking taylor expansion of 0 in z
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [taylor]: Taking taylor expansion of 0 in z
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.125 * [backup-simplify]: Simplify (+ 1 0) into 1
0.126 * [backup-simplify]: Simplify (+ 0 1) into 1
0.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
0.127 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.127 * [taylor]: Taking taylor expansion of 1/2 in y
0.127 * [backup-simplify]: Simplify 1/2 into 1/2
0.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.127 * [taylor]: Taking taylor expansion of z in y
0.127 * [backup-simplify]: Simplify z into z
0.127 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.127 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.127 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.128 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.128 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.128 * [taylor]: Taking taylor expansion of 1/2 in z
0.128 * [backup-simplify]: Simplify 1/2 into 1/2
0.128 * [taylor]: Taking taylor expansion of z in z
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [taylor]: Taking taylor expansion of 0 in z
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.131 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.132 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.132 * [taylor]: Taking taylor expansion of 1/2 in z
0.132 * [backup-simplify]: Simplify 1/2 into 1/2
0.132 * [taylor]: Taking taylor expansion of z in z
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.134 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.134 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.134 * [taylor]: Taking taylor expansion of y in z
0.134 * [backup-simplify]: Simplify y into y
0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.134 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.134 * [taylor]: Taking taylor expansion of x in z
0.134 * [backup-simplify]: Simplify x into x
0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.135 * [taylor]: Taking taylor expansion of (pow z 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [backup-simplify]: Simplify (+ 0 1) into 1
0.136 * [backup-simplify]: Simplify (+ 0 1) into 1
0.136 * [backup-simplify]: Simplify (sqrt 1) into 1
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.140 * [taylor]: Taking taylor expansion of x in y
0.140 * [backup-simplify]: Simplify x into x
0.140 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.140 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.140 * [taylor]: Taking taylor expansion of z in y
0.140 * [backup-simplify]: Simplify z into z
0.140 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.143 * [taylor]: Taking taylor expansion of y in x
0.143 * [backup-simplify]: Simplify y into y
0.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.143 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
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 1) into 1
0.144 * [backup-simplify]: Simplify (/ 1 1) into 1
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.144 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.144 * [taylor]: Taking taylor expansion of z in x
0.144 * [backup-simplify]: Simplify z into z
0.144 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.144 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.145 * [backup-simplify]: Simplify (+ 1 0) into 1
0.145 * [backup-simplify]: Simplify (+ 0 1) into 1
0.146 * [backup-simplify]: Simplify (sqrt 1) into 1
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
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
0.149 * [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 z 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.149 * [taylor]: Taking taylor expansion of z in x
0.149 * [backup-simplify]: Simplify z into z
0.149 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.150 * [backup-simplify]: Simplify (+ 1 0) 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 1 in y
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of 0 in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [taylor]: Taking taylor expansion of 1 in z
0.153 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.155 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.156 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.156 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.156 * [taylor]: Taking taylor expansion of 1/2 in y
0.156 * [backup-simplify]: Simplify 1/2 into 1/2
0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.156 * [taylor]: Taking taylor expansion of y in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (* 1 1) into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.157 * [taylor]: Taking taylor expansion of z in y
0.157 * [backup-simplify]: Simplify z into z
0.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.157 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in z
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [taylor]: Taking taylor expansion of 0 in z
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [taylor]: Taking taylor expansion of 0 in z
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.163 * [taylor]: Taking taylor expansion of 0 in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.166 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.166 * [taylor]: Taking taylor expansion of 1/2 in z
0.166 * [backup-simplify]: Simplify 1/2 into 1/2
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.166 * [taylor]: Taking taylor expansion of z in z
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in z
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in z
0.168 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.174 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.174 * [taylor]: Taking taylor expansion of -1/2 in y
0.174 * [backup-simplify]: Simplify -1/2 into -1/2
0.174 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.174 * [taylor]: Taking taylor expansion of 1/2 in y
0.174 * [backup-simplify]: Simplify 1/2 into 1/2
0.174 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.174 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.174 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.174 * [taylor]: Taking taylor expansion of z in y
0.174 * [backup-simplify]: Simplify z into z
0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.174 * [taylor]: Taking taylor expansion of y in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.175 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.175 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.175 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.175 * [taylor]: Taking taylor expansion of 1/4 in y
0.175 * [backup-simplify]: Simplify 1/4 into 1/4
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.175 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.175 * [taylor]: Taking taylor expansion of y in y
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.176 * [taylor]: Taking taylor expansion of 1/4 in y
0.176 * [backup-simplify]: Simplify 1/4 into 1/4
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.176 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.176 * [taylor]: Taking taylor expansion of z in y
0.176 * [backup-simplify]: Simplify z into z
0.176 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.176 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.176 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.177 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.192 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.192 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.193 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.196 * [taylor]: Taking taylor expansion of 0 in z
0.196 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in z
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in z
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.199 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.199 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.200 * [taylor]: Taking taylor expansion of y in z
0.200 * [backup-simplify]: Simplify y into y
0.200 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.200 * [taylor]: Taking taylor expansion of x in z
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 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.200 * [taylor]: Taking taylor expansion of z in z
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
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.202 * [backup-simplify]: Simplify (sqrt 1) into 1
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [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 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.204 * [taylor]: Taking taylor expansion of y in y
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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.205 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.205 * [taylor]: Taking taylor expansion of z in y
0.205 * [backup-simplify]: Simplify z into z
0.205 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (sqrt 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.208 * [taylor]: Taking taylor expansion of y in x
0.208 * [backup-simplify]: Simplify y into y
0.208 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.209 * [taylor]: Taking taylor expansion of x in x
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.209 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.209 * [taylor]: Taking taylor expansion of z in x
0.209 * [backup-simplify]: Simplify z into z
0.209 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.210 * [backup-simplify]: Simplify (+ 1 0) into 1
0.210 * [backup-simplify]: Simplify (+ 0 1) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.213 * [taylor]: Taking taylor expansion of y in x
0.213 * [backup-simplify]: Simplify y into y
0.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.213 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.213 * [taylor]: Taking taylor expansion of x in x
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.214 * [backup-simplify]: Simplify (/ 1 1) into 1
0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.214 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.214 * [taylor]: Taking taylor expansion of z in x
0.214 * [backup-simplify]: Simplify z into z
0.214 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.214 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.215 * [backup-simplify]: Simplify (+ 1 0) into 1
0.215 * [backup-simplify]: Simplify (+ 0 1) into 1
0.215 * [backup-simplify]: Simplify (sqrt 1) into 1
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) 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 z
0.218 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.220 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.221 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.221 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.221 * [taylor]: Taking taylor expansion of 1/2 in y
0.221 * [backup-simplify]: Simplify 1/2 into 1/2
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.221 * [taylor]: Taking taylor expansion of y in y
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.222 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.222 * [taylor]: Taking taylor expansion of z in y
0.222 * [backup-simplify]: Simplify z into z
0.222 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ 1 0) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 (+ (* z 0) (* 0 z)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in y
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.231 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.231 * [taylor]: Taking taylor expansion of 1/2 in z
0.231 * [backup-simplify]: Simplify 1/2 into 1/2
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.231 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.231 * [taylor]: Taking taylor expansion of z in z
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [taylor]: Taking taylor expansion of 0 in z
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [taylor]: Taking taylor expansion of 0 in z
0.233 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.239 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.239 * [taylor]: Taking taylor expansion of -1/2 in y
0.239 * [backup-simplify]: Simplify -1/2 into -1/2
0.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.239 * [taylor]: Taking taylor expansion of 1/2 in y
0.239 * [backup-simplify]: Simplify 1/2 into 1/2
0.239 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.239 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.239 * [taylor]: Taking taylor expansion of z in y
0.239 * [backup-simplify]: Simplify z into z
0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
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 (* z z) into (pow z 2)
0.240 * [backup-simplify]: Simplify (* 1 1) into 1
0.240 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.240 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.240 * [taylor]: Taking taylor expansion of 1/4 in y
0.240 * [backup-simplify]: Simplify 1/4 into 1/4
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.240 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.240 * [taylor]: Taking taylor expansion of y in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1 1) into 1
0.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.241 * [taylor]: Taking taylor expansion of 1/4 in y
0.241 * [backup-simplify]: Simplify 1/4 into 1/4
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.241 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.241 * [taylor]: Taking taylor expansion of z in y
0.241 * [backup-simplify]: Simplify z into z
0.241 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.241 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.242 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.242 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.243 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.255 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.255 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.256 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.262 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.262 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.262 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.262 * [taylor]: Taking taylor expansion of x in y
0.262 * [backup-simplify]: Simplify x into x
0.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.263 * [taylor]: Taking taylor expansion of x in x
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.263 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.264 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ 0 1) into 1
0.265 * [taylor]: Taking taylor expansion of 1 in y
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [taylor]: Taking taylor expansion of 0 in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.270 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.270 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.271 * [taylor]: Taking taylor expansion of x in y
0.271 * [backup-simplify]: Simplify x into x
0.271 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [backup-simplify]: Simplify y into y
0.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.271 * [taylor]: Taking taylor expansion of x in x
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.272 * [taylor]: Taking taylor expansion of y in x
0.272 * [backup-simplify]: Simplify y into y
0.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [taylor]: Taking taylor expansion of 1 in y
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in y
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.277 * [taylor]: Taking taylor expansion of y in y
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (/ 1 1) into 1
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.286 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.286 * [taylor]: Taking taylor expansion of y in y
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.287 * [taylor]: Taking taylor expansion of y in x
0.287 * [backup-simplify]: Simplify y into y
0.287 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.287 * [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
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.288 * [taylor]: Taking taylor expansion of y in x
0.288 * [backup-simplify]: Simplify y into y
0.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.288 * [taylor]: Taking taylor expansion of x in x
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 (+ 0 1) into 1
0.289 * [taylor]: Taking taylor expansion of 1 in y
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [taylor]: Taking taylor expansion of 0 in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.293 * [taylor]: Taking taylor expansion of y in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in y
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.302 * * * [progress]: simplifying candidates
0.302 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.303 * * [simplify]: iteration 0: 63 enodes
0.324 * * [simplify]: iteration 1: 172 enodes
0.378 * * [simplify]: iteration 2: 553 enodes
0.628 * * [simplify]: iteration 3: 2376 enodes
1.382 * * [simplify]: iteration complete: 5006 enodes
1.382 * * [simplify]: Extracting #0: cost 29 inf + 0
1.383 * * [simplify]: Extracting #1: cost 168 inf + 45
1.386 * * [simplify]: Extracting #2: cost 1025 inf + 726
1.397 * * [simplify]: Extracting #3: cost 1353 inf + 36507
1.442 * * [simplify]: Extracting #4: cost 487 inf + 205143
1.499 * * [simplify]: Extracting #5: cost 72 inf + 288053
1.582 * * [simplify]: Extracting #6: cost 49 inf + 294266
1.646 * * [simplify]: Extracting #7: cost 10 inf + 300673
1.730 * * [simplify]: Extracting #8: cost 0 inf + 303603
1.811 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (- (* y y) (* z z)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  z
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
1.813 * * * [progress]: adding candidates to table
1.958 * * [progress]: iteration 2 / 4
1.958 * * * [progress]: picking best candidate
1.968 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
1.968 * * * [progress]: localizing error
1.969 * * * [progress]: generating rewritten candidates
1.969 * * * [progress]: generating series expansions
1.969 * * * [progress]: simplifying candidates
1.969 * [simplify]: Simplifying:
  
1.969 * * [simplify]: iteration 0: 0 enodes
1.969 * * [simplify]: iteration complete: 0 enodes
1.969 * * [simplify]: Extracting #0: cost 0 inf + 0
1.969 * [simplify]: Simplified to:
  
1.969 * * * [progress]: adding candidates to table
1.969 * * [progress]: iteration 3 / 4
1.969 * * * [progress]: picking best candidate
1.976 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
1.976 * * * [progress]: localizing error
1.978 * * * [progress]: generating rewritten candidates
1.978 * * * [progress]: generating series expansions
1.978 * * * [progress]: simplifying candidates
1.978 * [simplify]: Simplifying:
  
1.978 * * [simplify]: iteration 0: 0 enodes
1.978 * * [simplify]: iteration complete: 0 enodes
1.978 * * [simplify]: Extracting #0: cost 0 inf + 0
1.978 * [simplify]: Simplified to:
  
1.978 * * * [progress]: adding candidates to table
1.979 * * [progress]: iteration 4 / 4
1.979 * * * [progress]: picking best candidate
1.982 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
1.982 * * * [progress]: localizing error
1.983 * * * [progress]: generating rewritten candidates
1.983 * * * [progress]: generating series expansions
1.983 * * * [progress]: simplifying candidates
1.983 * [simplify]: Simplifying:
  
1.983 * * [simplify]: iteration 0: 0 enodes
1.983 * * [simplify]: iteration complete: 0 enodes
1.983 * * [simplify]: Extracting #0: cost 0 inf + 0
1.983 * [simplify]: Simplified to:
  
1.983 * * * [progress]: adding candidates to table
1.983 * [progress]: [Phase 3 of 3] Extracting.
1.983 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
1.984 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
1.984 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.027 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.341 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.402 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.464 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.509 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.553 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.596 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.643 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.708 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.778 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.853 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.933 * * * [regime]: Found split indices: #<option (#s(si 0 43) #s(si 3 215) #s(si 2 255))>
2.934 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.975 * [regimes]: Found splitpoints: (#s(sp 0 x -1.1440799527793541e+94) #s(sp 3 x 2.3909857439812751e+83) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.975 * [simplify]: Simplifying:
  (if (<= x -1.1440799527793541e+94) (- x) (if (<= x 2.3909857439812751e+83) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
2.975 * * [simplify]: iteration 0: 16 enodes
2.977 * * [simplify]: iteration 1: 18 enodes
2.977 * * [simplify]: iteration complete: 18 enodes
2.977 * * [simplify]: Extracting #0: cost 1 inf + 0
2.977 * * [simplify]: Extracting #1: cost 4 inf + 0
2.977 * * [simplify]: Extracting #2: cost 8 inf + 0
2.978 * * [simplify]: Extracting #3: cost 8 inf + 2
2.978 * * [simplify]: Extracting #4: cost 6 inf + 178
2.978 * * [simplify]: Extracting #5: cost 9 inf + 178
2.978 * * [simplify]: Extracting #6: cost 7 inf + 261
2.978 * * [simplify]: Extracting #7: cost 6 inf + 262
2.978 * * [simplify]: Extracting #8: cost 4 inf + 425
2.978 * * [simplify]: Extracting #9: cost 2 inf + 871
2.979 * * [simplify]: Extracting #10: cost 0 inf + 1790
2.979 * [simplify]: Simplified to:
  (if (<= x -1.1440799527793541e+94) (- x) (if (<= x 2.3909857439812751e+83) (sqrt (+ (* z z) (+ (* y y) (* x x)))) x))
4.286 * [regime-testing]: Baseline error score: 38.12823238406866
4.300 * [regime-testing]: Oracle error score: 17.96013025519397
4.321 * [regime-testing]: End program error score: 25.29548953502493
4.468 * [regime-testing]: Target error score: 25.716259809450722