93.967 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.031 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
0.052 * * [progress]: iteration 1 / 4
0.053 * * * [progress]: picking best candidate
0.054 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.054 * * * [progress]: localizing error
0.064 * * * [progress]: generating rewritten candidates
0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.116 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.129 * * * [progress]: generating series expansions
0.129 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.129 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.130 * [taylor]: Taking taylor expansion of x in z
0.130 * [backup-simplify]: Simplify x into x
0.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.130 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.130 * [taylor]: Taking taylor expansion of y in z
0.130 * [backup-simplify]: Simplify y into y
0.130 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.130 * [taylor]: Taking taylor expansion of z in z
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.130 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.130 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.130 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.130 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.130 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.132 * [taylor]: Taking taylor expansion of x in y
0.132 * [backup-simplify]: Simplify x into x
0.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.132 * [taylor]: Taking taylor expansion of z in y
0.132 * [backup-simplify]: Simplify z into z
0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.132 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.132 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.133 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.133 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.133 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.133 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.134 * [taylor]: Taking taylor expansion of x in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.134 * [taylor]: Taking taylor expansion of y in x
0.134 * [backup-simplify]: Simplify y into y
0.134 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.134 * [taylor]: Taking taylor expansion of z in x
0.134 * [backup-simplify]: Simplify z into z
0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.134 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.134 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.135 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.135 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.135 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.136 * [taylor]: Taking taylor expansion of z in x
0.136 * [backup-simplify]: Simplify z into z
0.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.136 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.137 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.137 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.137 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.137 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.138 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.138 * [taylor]: Taking taylor expansion of y in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.138 * [taylor]: Taking taylor expansion of z in y
0.138 * [backup-simplify]: Simplify z into z
0.138 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.139 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.139 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.139 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.139 * [taylor]: Taking taylor expansion of z in z
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [taylor]: Taking taylor expansion of 0 in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [taylor]: Taking taylor expansion of 0 in z
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [taylor]: Taking taylor expansion of 0 in z
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.141 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [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)))))
0.142 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.142 * [taylor]: Taking taylor expansion of 1/2 in y
0.142 * [backup-simplify]: Simplify 1/2 into 1/2
0.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.142 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.142 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.142 * [taylor]: Taking taylor expansion of z in y
0.142 * [backup-simplify]: Simplify z into z
0.142 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.143 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.143 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.143 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.143 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.144 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.144 * [taylor]: Taking taylor expansion of 1/2 in z
0.144 * [backup-simplify]: Simplify 1/2 into 1/2
0.144 * [taylor]: Taking taylor expansion of z in z
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [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 * [taylor]: Taking taylor expansion of 0 in z
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.146 * [backup-simplify]: Simplify (+ 1 0) into 1
0.147 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.147 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.147 * [taylor]: Taking taylor expansion of 1/2 in z
0.147 * [backup-simplify]: Simplify 1/2 into 1/2
0.147 * [taylor]: Taking taylor expansion of z in z
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.149 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.149 * [taylor]: Taking taylor expansion of x in z
0.149 * [backup-simplify]: Simplify x into x
0.149 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.149 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.149 * [taylor]: Taking taylor expansion of z in z
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.150 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.150 * [taylor]: Taking taylor expansion of y in z
0.150 * [backup-simplify]: Simplify y into y
0.150 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.150 * [backup-simplify]: Simplify (+ 1 0) into 1
0.151 * [backup-simplify]: Simplify (+ 0 1) into 1
0.151 * [backup-simplify]: Simplify (sqrt 1) into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.153 * [taylor]: Taking taylor expansion of x in y
0.153 * [backup-simplify]: Simplify x into x
0.153 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.154 * [taylor]: Taking taylor expansion of z in y
0.154 * [backup-simplify]: Simplify z into z
0.154 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.154 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow y 2) 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
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [backup-simplify]: Simplify (+ 0 1) into 1
0.155 * [backup-simplify]: Simplify (+ 0 1) into 1
0.156 * [backup-simplify]: Simplify (sqrt 1) into 1
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.159 * [taylor]: Taking taylor expansion of z in x
0.159 * [backup-simplify]: Simplify z into z
0.159 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.159 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.159 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [backup-simplify]: Simplify (sqrt 1) into 1
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.162 * [taylor]: Taking taylor expansion of x in x
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.162 * [taylor]: Taking taylor expansion of z in x
0.163 * [backup-simplify]: Simplify z into z
0.163 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.163 * [taylor]: Taking taylor expansion of y in x
0.163 * [backup-simplify]: Simplify y into y
0.163 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.163 * [backup-simplify]: Simplify (+ 1 0) into 1
0.164 * [backup-simplify]: Simplify (sqrt 1) into 1
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.166 * [taylor]: Taking taylor expansion of 1 in y
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [taylor]: Taking taylor expansion of 0 in y
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [taylor]: Taking taylor expansion of 1 in z
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.168 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.169 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.169 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.169 * [taylor]: Taking taylor expansion of 1/2 in y
0.169 * [backup-simplify]: Simplify 1/2 into 1/2
0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.169 * [taylor]: Taking taylor expansion of z in y
0.169 * [backup-simplify]: Simplify z into z
0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.169 * [taylor]: Taking taylor expansion of y in y
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (+ 0 1) into 1
0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.172 * [taylor]: Taking taylor expansion of 0 in z
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [taylor]: Taking taylor expansion of 0 in z
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [taylor]: Taking taylor expansion of 0 in z
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.175 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.178 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.178 * [taylor]: Taking taylor expansion of 1/2 in z
0.178 * [backup-simplify]: Simplify 1/2 into 1/2
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.178 * [taylor]: Taking taylor expansion of z in z
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [taylor]: Taking taylor expansion of 0 in z
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [taylor]: Taking taylor expansion of 0 in z
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.186 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.186 * [taylor]: Taking taylor expansion of -1/2 in y
0.186 * [backup-simplify]: Simplify -1/2 into -1/2
0.186 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.186 * [taylor]: Taking taylor expansion of 1/4 in y
0.186 * [backup-simplify]: Simplify 1/4 into 1/4
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.186 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.186 * [taylor]: Taking taylor expansion of z in y
0.186 * [backup-simplify]: Simplify z into z
0.186 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.186 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.187 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.187 * [taylor]: Taking taylor expansion of 1/2 in y
0.187 * [backup-simplify]: Simplify 1/2 into 1/2
0.187 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.187 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.187 * [taylor]: Taking taylor expansion of z in y
0.187 * [backup-simplify]: Simplify z into z
0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.187 * [taylor]: Taking taylor expansion of y in y
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.187 * [backup-simplify]: Simplify (* 1 1) into 1
0.187 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.187 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.187 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.188 * [taylor]: Taking taylor expansion of 1/4 in y
0.188 * [backup-simplify]: Simplify 1/4 into 1/4
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.188 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.188 * [taylor]: Taking taylor expansion of y in y
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.189 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.190 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.198 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.199 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.200 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.201 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.202 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in z
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [taylor]: Taking taylor expansion of 0 in z
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [taylor]: Taking taylor expansion of 0 in z
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.212 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.212 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.212 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.212 * [taylor]: Taking taylor expansion of x in z
0.212 * [backup-simplify]: Simplify x into x
0.212 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.212 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.212 * [taylor]: Taking taylor expansion of z in z
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.213 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.213 * [taylor]: Taking taylor expansion of y in z
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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.214 * [backup-simplify]: Simplify (+ 0 1) into 1
0.214 * [backup-simplify]: Simplify (sqrt 1) into 1
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.216 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.216 * [taylor]: Taking taylor expansion of x in y
0.216 * [backup-simplify]: Simplify x into x
0.216 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.216 * [taylor]: Taking taylor expansion of z in y
0.217 * [backup-simplify]: Simplify z into z
0.217 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.217 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.218 * [backup-simplify]: Simplify (sqrt 1) into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.221 * [taylor]: Taking taylor expansion of x in x
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (* 1 1) into 1
0.221 * [backup-simplify]: Simplify (/ 1 1) into 1
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.221 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.221 * [taylor]: Taking taylor expansion of z in x
0.221 * [backup-simplify]: Simplify z into z
0.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.222 * [taylor]: Taking taylor expansion of y in x
0.222 * [backup-simplify]: Simplify y into y
0.222 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.222 * [backup-simplify]: Simplify (+ 1 0) into 1
0.222 * [backup-simplify]: Simplify (sqrt 1) into 1
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.226 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.226 * [taylor]: Taking taylor expansion of z in x
0.226 * [backup-simplify]: Simplify z into z
0.226 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.226 * [taylor]: Taking taylor expansion of y in x
0.226 * [backup-simplify]: Simplify y into y
0.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.226 * [backup-simplify]: Simplify (+ 1 0) into 1
0.227 * [backup-simplify]: Simplify (sqrt 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.229 * [taylor]: Taking taylor expansion of 1 in y
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [taylor]: Taking taylor expansion of 0 in y
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [taylor]: Taking taylor expansion of 1 in z
0.229 * [backup-simplify]: Simplify 1 into 1
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 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.231 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.232 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.232 * [taylor]: Taking taylor expansion of 1/2 in y
0.232 * [backup-simplify]: Simplify 1/2 into 1/2
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.232 * [taylor]: Taking taylor expansion of z in y
0.232 * [backup-simplify]: Simplify z into z
0.232 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.232 * [taylor]: Taking taylor expansion of y in y
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (+ 0 1) into 1
0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.235 * [taylor]: Taking taylor expansion of 0 in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [taylor]: Taking taylor expansion of 0 in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [taylor]: Taking taylor expansion of 0 in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.239 * [taylor]: Taking taylor expansion of 0 in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.241 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.241 * [taylor]: Taking taylor expansion of 1/2 in z
0.241 * [backup-simplify]: Simplify 1/2 into 1/2
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.241 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.241 * [taylor]: Taking taylor expansion of z in z
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [taylor]: Taking taylor expansion of 0 in z
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [taylor]: Taking taylor expansion of 0 in z
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.246 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.249 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.249 * [taylor]: Taking taylor expansion of -1/2 in y
0.249 * [backup-simplify]: Simplify -1/2 into -1/2
0.249 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.249 * [taylor]: Taking taylor expansion of 1/4 in y
0.249 * [backup-simplify]: Simplify 1/4 into 1/4
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.249 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.249 * [taylor]: Taking taylor expansion of z in y
0.249 * [backup-simplify]: Simplify z into z
0.249 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.249 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.249 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.249 * [taylor]: Taking taylor expansion of 1/2 in y
0.249 * [backup-simplify]: Simplify 1/2 into 1/2
0.249 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.249 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.249 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.249 * [taylor]: Taking taylor expansion of z in y
0.249 * [backup-simplify]: Simplify z into z
0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.250 * [taylor]: Taking taylor expansion of 1/4 in y
0.250 * [backup-simplify]: Simplify 1/4 into 1/4
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.250 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.252 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.261 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.263 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.264 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.264 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.265 * [taylor]: Taking taylor expansion of 0 in z
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [taylor]: Taking taylor expansion of 0 in z
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in z
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in z
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in z
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.270 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.270 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.270 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.270 * [taylor]: Taking taylor expansion of x in y
0.270 * [backup-simplify]: Simplify x into x
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
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.271 * [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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.271 * [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 (+ 0 (pow y 2)) into (pow y 2)
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.271 * [taylor]: Taking taylor expansion of y in y
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [taylor]: Taking taylor expansion of 0 in y
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.273 * [backup-simplify]: Simplify (+ 1 0) into 1
0.273 * [taylor]: Taking taylor expansion of 1 in y
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) 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
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in y
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 (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.278 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.278 * [taylor]: Taking taylor expansion of x in y
0.278 * [backup-simplify]: Simplify x into x
0.278 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.278 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.280 * [taylor]: Taking taylor expansion of y in x
0.280 * [backup-simplify]: Simplify y into y
0.280 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.281 * [backup-simplify]: Simplify y into y
0.281 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [taylor]: Taking taylor expansion of 1 in y
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.293 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.293 * [taylor]: Taking taylor expansion of x in y
0.293 * [backup-simplify]: Simplify x into x
0.293 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (* 1 1) into 1
0.294 * [backup-simplify]: Simplify (/ 1 1) into 1
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.295 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.295 * [taylor]: Taking taylor expansion of y in x
0.295 * [backup-simplify]: Simplify y into y
0.295 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.295 * [taylor]: Taking taylor expansion of x in x
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.296 * [taylor]: Taking taylor expansion of y in x
0.296 * [backup-simplify]: Simplify y into y
0.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.297 * [backup-simplify]: Simplify (+ 1 0) into 1
0.297 * [taylor]: Taking taylor expansion of 1 in y
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.300 * [taylor]: Taking taylor expansion of y in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [taylor]: Taking taylor expansion of 0 in y
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.308 * * * [progress]: simplifying candidates
0.309 * [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 x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.309 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (exp (* h2 h2)) (exp (* h1 h1)))
 (log (+ (* h2 h2) (* h1 h1)))
 (exp (+ (* h2 h2) (* h1 h1)))
 (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1))))
 (cbrt (+ (* h2 h2) (* h1 h1)))
 (* (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (+ (* h2 h2) (* h1 h1)))
 (sqrt (+ (* h2 h2) (* h1 h1)))
 (sqrt (+ (* h2 h2) (* h1 h1)))
 (+ (pow (* h2 h2) 3) (pow (* h1 h1) 3))
 (+ (* (* h2 h2) (* h2 h2)) (- (* (* h1 h1) (* h1 h1)) (* (* h2 h2) (* h1 h1))))
 (- (* (* h2 h2) (* h2 h2)) (* (* h1 h1) (* h1 h1)))
 (- (* h2 h2) (* h1 h1))
 h0
 h2
 (* -1 h2)
 (+ (pow h2 2) (pow h1 2))
 (+ (pow h2 2) (pow h1 2))
 (+ (pow h2 2) (pow h1 2))
1.244 * * * [progress]: adding candidates to table
1.351 * * [progress]: iteration 2 / 4
1.351 * * * [progress]: picking best candidate
1.354 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
1.354 * * * [progress]: localizing error
1.355 * * * [progress]: generating rewritten candidates
1.356 * * * [progress]: generating series expansions
1.356 * * * [progress]: simplifying candidates
1.356 * [simplify]: Simplifying:
  
1.356 * [simplify]: Sending expressions to egg_math:
 
1.371 * * * [progress]: adding candidates to table
1.371 * * [progress]: iteration 3 / 4
1.371 * * * [progress]: picking best candidate
1.373 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
1.373 * * * [progress]: localizing error
1.375 * * * [progress]: generating rewritten candidates
1.375 * * * [progress]: generating series expansions
1.375 * * * [progress]: simplifying candidates
1.375 * [simplify]: Simplifying:
  
1.375 * [simplify]: Sending expressions to egg_math:
 
1.389 * * * [progress]: adding candidates to table
1.389 * * [progress]: iteration 4 / 4
1.389 * * * [progress]: picking best candidate
1.391 * * * * [pick]: Picked  #<alt (λ (x y z) (* -1 x))>
1.391 * * * [progress]: localizing error
1.394 * * * [progress]: generating rewritten candidates
1.394 * * * [progress]: generating series expansions
1.394 * * * [progress]: simplifying candidates
1.394 * [simplify]: Simplifying:
  
1.394 * [simplify]: Sending expressions to egg_math:
 
1.408 * * * [progress]: adding candidates to table
1.409 * [progress]: [Phase 3 of 3] Extracting.
1.409 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.409 * * * [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)
1.409 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.441 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* -1 x))>)
1.463 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.483 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.501 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.524 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.549 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.569 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.597 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.624 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.655 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.676 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.715 * * * [regime]: Found split indices: #<option (#s(si 3 38) #s(si 1 225) #s(si 0 255))>
1.716 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.781 * [regimes]: Found splitpoints: (#s(sp 3 x -1.472200864118953e+97) #s(sp 1 x 9.739776979507706e+134) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
1.781 * [simplify]: Simplifying:
  (if (<= x -1.472200864118953e+97) (* -1 x) (if (<= x 9.739776979507706e+134) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
1.781 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -1.472200864118953e+97) (* -1 h0) (if (<= h0 9.739776979507706e+134) (sqrt (+ (+ (* h0 h0) (* h2 h2)) (* h1 h1))) h0))
2.748 * [regime-testing]: Baseline error score: 37.34773044480984
2.751 * [regime-testing]: Oracle error score: 18.350550808692475
2.757 * [regime-testing]: End program error score: 25.482126819232768
2.813 * [regime-testing]: Target error score: 24.70839090172548