82.637 * [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.
0.032 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.032 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.037 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.037 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.110 * * * [progress]: generating series expansions
0.110 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.110 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.110 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.110 * [taylor]: Taking taylor expansion of x in z
0.110 * [backup-simplify]: Simplify x into x
0.110 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.110 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.110 * [taylor]: Taking taylor expansion of y in z
0.110 * [backup-simplify]: Simplify y into y
0.111 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.111 * [taylor]: Taking taylor expansion of z in z
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.111 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.111 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.111 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.111 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.113 * [taylor]: Taking taylor expansion of x in y
0.113 * [backup-simplify]: Simplify x into x
0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.113 * [taylor]: Taking taylor expansion of y in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.113 * [taylor]: Taking taylor expansion of z in y
0.113 * [backup-simplify]: Simplify z into z
0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.113 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.113 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.113 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.114 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.114 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.114 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.115 * [taylor]: Taking taylor expansion of z in x
0.115 * [backup-simplify]: Simplify z into z
0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.115 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.115 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.115 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.116 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.116 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.117 * [taylor]: Taking taylor expansion of y in x
0.117 * [backup-simplify]: Simplify y into y
0.117 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.117 * [taylor]: Taking taylor expansion of z in x
0.117 * [backup-simplify]: Simplify z into z
0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.117 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.117 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.117 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.118 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) 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 y 2) (pow z 2))))) into 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.119 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.119 * [taylor]: Taking taylor expansion of y in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.119 * [taylor]: Taking taylor expansion of z in y
0.119 * [backup-simplify]: Simplify z into z
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 (sqrt (pow z 2)) into z
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 (* 2 (sqrt (pow z 2)))) into 0
0.120 * [taylor]: Taking taylor expansion of z in z
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (* 1 1) into 1
0.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.121 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [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)))))
0.123 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.123 * [taylor]: Taking taylor expansion of 1/2 in y
0.123 * [backup-simplify]: Simplify 1/2 into 1/2
0.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.123 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.123 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.123 * [taylor]: Taking taylor expansion of y in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.124 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.124 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.125 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.125 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.125 * [taylor]: Taking taylor expansion of 1/2 in z
0.125 * [backup-simplify]: Simplify 1/2 into 1/2
0.125 * [taylor]: Taking taylor expansion of z in z
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [taylor]: Taking taylor expansion of 0 in z
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.127 * [backup-simplify]: Simplify (+ 1 0) into 1
0.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 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
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.130 * [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)))))
0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.130 * [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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
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
0.131 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.131 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.131 * [taylor]: Taking taylor expansion of y in z
0.131 * [backup-simplify]: Simplify y into y
0.131 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.131 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.131 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (+ 0 1) into 1
0.132 * [backup-simplify]: Simplify (sqrt 1) into 1
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.135 * [taylor]: Taking taylor expansion of x in y
0.135 * [backup-simplify]: Simplify x into x
0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.135 * [taylor]: Taking taylor expansion of z in y
0.135 * [backup-simplify]: Simplify z into z
0.135 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.135 * [taylor]: Taking taylor expansion of y in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [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
0.137 * [backup-simplify]: Simplify (sqrt 1) into 1
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [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 x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.139 * [taylor]: Taking taylor expansion of x in x
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 z 2)) (/ 1 (pow y 2))) in x
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.140 * [taylor]: Taking taylor expansion of z in x
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))
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.142 * [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 x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 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)) (/ 1 (pow y 2))) in x
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))
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.144 * [taylor]: Taking taylor expansion of y in x
0.144 * [backup-simplify]: Simplify y into y
0.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.145 * [backup-simplify]: Simplify (+ 1 0) into 1
0.145 * [backup-simplify]: Simplify (sqrt 1) into 1
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.147 * [taylor]: Taking taylor expansion of 1 in y
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of 0 in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [taylor]: Taking taylor expansion of 1 in z
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.149 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.150 * [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))))
0.150 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.150 * [taylor]: Taking taylor expansion of 1/2 in y
0.150 * [backup-simplify]: Simplify 1/2 into 1/2
0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.150 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.150 * [taylor]: Taking taylor expansion of z in y
0.150 * [backup-simplify]: Simplify z into z
0.150 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.151 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.151 * [taylor]: Taking taylor expansion of y in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (+ 0 1) into 1
0.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.159 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.159 * [taylor]: Taking taylor expansion of 1/2 in z
0.160 * [backup-simplify]: Simplify 1/2 into 1/2
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.160 * [taylor]: Taking taylor expansion of z in z
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (* 1 1) into 1
0.160 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [taylor]: Taking taylor expansion of 0 in z
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [taylor]: Taking taylor expansion of 0 in z
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [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))))))
0.167 * [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
0.167 * [taylor]: Taking taylor expansion of -1/2 in y
0.167 * [backup-simplify]: Simplify -1/2 into -1/2
0.167 * [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
0.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.168 * [taylor]: Taking taylor expansion of 1/4 in y
0.168 * [backup-simplify]: Simplify 1/4 into 1/4
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.168 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.168 * [taylor]: Taking taylor expansion of z in y
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.168 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.168 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.168 * [taylor]: Taking taylor expansion of 1/2 in y
0.168 * [backup-simplify]: Simplify 1/2 into 1/2
0.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.168 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.168 * [taylor]: Taking taylor expansion of z in y
0.168 * [backup-simplify]: Simplify z into z
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.168 * [taylor]: Taking taylor expansion of y in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (* (pow z 2) 1) 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 (* 1/4 (/ 1 (pow y 4))) in y
0.169 * [taylor]: Taking taylor expansion of 1/4 in y
0.169 * [backup-simplify]: Simplify 1/4 into 1/4
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.169 * [taylor]: Taking taylor expansion of (pow y 4) 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
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.171 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.180 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.180 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.182 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.183 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.184 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.184 * [taylor]: Taking taylor expansion of 0 in z
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [taylor]: Taking taylor expansion of 0 in z
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.195 * [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)))))
0.195 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.195 * [taylor]: Taking taylor expansion of x in z
0.195 * [backup-simplify]: Simplify x into x
0.195 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.196 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.196 * [taylor]: Taking taylor expansion of z in z
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.196 * [taylor]: Taking taylor expansion of y in z
0.196 * [backup-simplify]: Simplify y into y
0.196 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.197 * [backup-simplify]: Simplify (+ 1 0) into 1
0.197 * [backup-simplify]: Simplify (+ 0 1) into 1
0.197 * [backup-simplify]: Simplify (sqrt 1) into 1
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.200 * [taylor]: Taking taylor expansion of x in y
0.200 * [backup-simplify]: Simplify x into x
0.200 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.200 * [taylor]: Taking taylor expansion of z in y
0.200 * [backup-simplify]: Simplify z into z
0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.201 * [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
0.202 * [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 x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.204 * [taylor]: Taking taylor expansion of x in x
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 z 2)) (/ 1 (pow y 2))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.205 * [taylor]: Taking taylor expansion of z in x
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))
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.205 * [taylor]: Taking taylor expansion of y in x
0.205 * [backup-simplify]: Simplify y into y
0.205 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 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 x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.208 * [taylor]: Taking taylor expansion of x in x
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [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)) (/ 1 (pow y 2))) in x
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))
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.209 * [taylor]: Taking taylor expansion of y in x
0.209 * [backup-simplify]: Simplify y into y
0.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.210 * [backup-simplify]: Simplify (+ 1 0) into 1
0.210 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.212 * [taylor]: Taking taylor expansion of 1 in y
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [taylor]: Taking taylor expansion of 0 in y
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [taylor]: Taking taylor expansion of 1 in z
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.214 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.215 * [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))))
0.216 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.216 * [taylor]: Taking taylor expansion of 1/2 in y
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.216 * [backup-simplify]: Simplify z into z
0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.216 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.216 * [taylor]: Taking taylor expansion of y in y
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in z
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [taylor]: Taking taylor expansion of 0 in z
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [taylor]: Taking taylor expansion of 0 in z
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.223 * [taylor]: Taking taylor expansion of 0 in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.225 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.225 * [taylor]: Taking taylor expansion of 1/2 in z
0.225 * [backup-simplify]: Simplify 1/2 into 1/2
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.225 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.225 * [taylor]: Taking taylor expansion of z in z
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
0.226 * [backup-simplify]: Simplify (/ 1 1) into 1
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of 0 in z
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [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))))))
0.233 * [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
0.233 * [taylor]: Taking taylor expansion of -1/2 in y
0.233 * [backup-simplify]: Simplify -1/2 into -1/2
0.233 * [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
0.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.233 * [taylor]: Taking taylor expansion of 1/4 in y
0.234 * [backup-simplify]: Simplify 1/4 into 1/4
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.234 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.234 * [taylor]: Taking taylor expansion of z in y
0.234 * [backup-simplify]: Simplify z into z
0.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.234 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.234 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.234 * [taylor]: Taking taylor expansion of 1/2 in y
0.234 * [backup-simplify]: Simplify 1/2 into 1/2
0.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.234 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.234 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.234 * [taylor]: Taking taylor expansion of z in y
0.234 * [backup-simplify]: Simplify z into z
0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.234 * [taylor]: Taking taylor expansion of y in y
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.235 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.235 * [taylor]: Taking taylor expansion of 1/4 in y
0.235 * [backup-simplify]: Simplify 1/4 into 1/4
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.235 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.235 * [taylor]: Taking taylor expansion of y in y
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.237 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.246 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.246 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.248 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.248 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.249 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.253 * [taylor]: Taking taylor expansion of 0 in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [taylor]: Taking taylor expansion of 0 in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [taylor]: Taking taylor expansion of 0 in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.255 * * * [progress]: simplifying candidates
0.256 * [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))))
  z
  x
  (* -1 x)
0.256 * [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))))
 h0
 h2
 (* -1 h2)
0.365 * * * [progress]: adding candidates to table
0.437 * * [progress]: iteration 2 / 4
0.437 * * * [progress]: picking best candidate
0.448 * * * * [pick]: Picked  #<alt (λ (x y 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))))))>
0.448 * * * [progress]: localizing error
0.473 * * * [progress]: generating rewritten candidates
0.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.532 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
0.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.649 * * * [progress]: generating series expansions
0.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.649 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.649 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.649 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.649 * [taylor]: Taking taylor expansion of x in z
0.649 * [backup-simplify]: Simplify x into x
0.649 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.649 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.649 * [taylor]: Taking taylor expansion of y in z
0.649 * [backup-simplify]: Simplify y into y
0.649 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.649 * [taylor]: Taking taylor expansion of z in z
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.650 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.650 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.650 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.650 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.650 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.650 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.650 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.652 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.652 * [taylor]: Taking taylor expansion of x in y
0.652 * [backup-simplify]: Simplify x into x
0.652 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.652 * [taylor]: Taking taylor expansion of y in y
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.652 * [taylor]: Taking taylor expansion of z in y
0.652 * [backup-simplify]: Simplify z into z
0.652 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.652 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.652 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.652 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.653 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.653 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.653 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.654 * [taylor]: Taking taylor expansion of x in x
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 1 into 1
0.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.654 * [taylor]: Taking taylor expansion of y in x
0.654 * [backup-simplify]: Simplify y into y
0.654 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.654 * [taylor]: Taking taylor expansion of z in x
0.654 * [backup-simplify]: Simplify z into z
0.654 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.654 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.654 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.654 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.655 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.655 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.655 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.655 * [backup-simplify]: Simplify (+ 0 0) into 0
0.655 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.656 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.656 * [taylor]: Taking taylor expansion of x in x
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.656 * [taylor]: Taking taylor expansion of y in x
0.656 * [backup-simplify]: Simplify y into y
0.656 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.656 * [taylor]: Taking taylor expansion of z in x
0.656 * [backup-simplify]: Simplify z into z
0.656 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.656 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.656 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.657 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.657 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.657 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.657 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.657 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.658 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.658 * [taylor]: Taking taylor expansion of y in y
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.658 * [taylor]: Taking taylor expansion of z in y
0.658 * [backup-simplify]: Simplify z into z
0.658 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.658 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.659 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.659 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.659 * [backup-simplify]: Simplify (+ 0 0) into 0
0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.659 * [taylor]: Taking taylor expansion of z in z
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [taylor]: Taking taylor expansion of 0 in y
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [taylor]: Taking taylor expansion of 0 in z
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [taylor]: Taking taylor expansion of 0 in z
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 1 into 1
0.660 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.661 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.661 * [backup-simplify]: Simplify (+ 0 0) into 0
0.661 * [backup-simplify]: Simplify (+ 1 0) into 1
0.662 * [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)))))
0.662 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.662 * [taylor]: Taking taylor expansion of 1/2 in y
0.662 * [backup-simplify]: Simplify 1/2 into 1/2
0.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.662 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.662 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.662 * [taylor]: Taking taylor expansion of y in y
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.662 * [taylor]: Taking taylor expansion of z in y
0.662 * [backup-simplify]: Simplify z into z
0.662 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.663 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.663 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.663 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.663 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.663 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.664 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.664 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.664 * [taylor]: Taking taylor expansion of 1/2 in z
0.664 * [backup-simplify]: Simplify 1/2 into 1/2
0.664 * [taylor]: Taking taylor expansion of z in z
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [taylor]: Taking taylor expansion of 0 in z
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (* 1 1) into 1
0.666 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.666 * [backup-simplify]: Simplify (+ 1 0) into 1
0.667 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.667 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.667 * [taylor]: Taking taylor expansion of 1/2 in z
0.667 * [backup-simplify]: Simplify 1/2 into 1/2
0.667 * [taylor]: Taking taylor expansion of z in z
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.669 * [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)))))
0.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.669 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.669 * [taylor]: Taking taylor expansion of x in z
0.669 * [backup-simplify]: Simplify x into x
0.669 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.669 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.669 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.669 * [taylor]: Taking taylor expansion of z in z
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 1 into 1
0.670 * [backup-simplify]: Simplify (* 1 1) into 1
0.670 * [backup-simplify]: Simplify (/ 1 1) into 1
0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.670 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.670 * [taylor]: Taking taylor expansion of y in z
0.670 * [backup-simplify]: Simplify y into y
0.670 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.671 * [backup-simplify]: Simplify (+ 1 0) into 1
0.671 * [backup-simplify]: Simplify (+ 0 1) into 1
0.671 * [backup-simplify]: Simplify (sqrt 1) into 1
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.674 * [taylor]: Taking taylor expansion of x in y
0.674 * [backup-simplify]: Simplify x into x
0.674 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.674 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.674 * [taylor]: Taking taylor expansion of z in y
0.674 * [backup-simplify]: Simplify z into z
0.674 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.674 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.674 * [taylor]: Taking taylor expansion of y in y
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify (* 1 1) into 1
0.675 * [backup-simplify]: Simplify (/ 1 1) into 1
0.675 * [backup-simplify]: Simplify (+ 0 1) into 1
0.676 * [backup-simplify]: Simplify (+ 0 1) into 1
0.676 * [backup-simplify]: Simplify (sqrt 1) into 1
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.678 * [taylor]: Taking taylor expansion of x in x
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify (* 1 1) into 1
0.679 * [backup-simplify]: Simplify (/ 1 1) into 1
0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.679 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.679 * [taylor]: Taking taylor expansion of z in x
0.679 * [backup-simplify]: Simplify z into z
0.679 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.679 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.679 * [taylor]: Taking taylor expansion of y in x
0.679 * [backup-simplify]: Simplify y into y
0.679 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.679 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.680 * [backup-simplify]: Simplify (+ 1 0) into 1
0.680 * [backup-simplify]: Simplify (sqrt 1) into 1
0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.682 * [taylor]: Taking taylor expansion of x in x
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (* 1 1) into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.683 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.683 * [taylor]: Taking taylor expansion of z in x
0.683 * [backup-simplify]: Simplify z into z
0.683 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.683 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.683 * [taylor]: Taking taylor expansion of y in x
0.683 * [backup-simplify]: Simplify y into y
0.683 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.684 * [backup-simplify]: Simplify (+ 1 0) into 1
0.684 * [backup-simplify]: Simplify (sqrt 1) into 1
0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.686 * [taylor]: Taking taylor expansion of 1 in y
0.686 * [backup-simplify]: Simplify 1 into 1
0.686 * [taylor]: Taking taylor expansion of 0 in y
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [taylor]: Taking taylor expansion of 1 in z
0.686 * [backup-simplify]: Simplify 1 into 1
0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.688 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.689 * [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))))
0.690 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.690 * [taylor]: Taking taylor expansion of 1/2 in y
0.690 * [backup-simplify]: Simplify 1/2 into 1/2
0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.690 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.690 * [taylor]: Taking taylor expansion of z in y
0.690 * [backup-simplify]: Simplify z into z
0.690 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.690 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.690 * [taylor]: Taking taylor expansion of y in y
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.691 * [backup-simplify]: Simplify (/ 1 1) into 1
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (+ 0 0) into 0
0.692 * [backup-simplify]: Simplify (+ 0 1) into 1
0.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.693 * [taylor]: Taking taylor expansion of 0 in z
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [taylor]: Taking taylor expansion of 0 in z
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [taylor]: Taking taylor expansion of 0 in z
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 1 into 1
0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.695 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.696 * [backup-simplify]: Simplify (+ 0 0) into 0
0.696 * [backup-simplify]: Simplify (+ 0 0) into 0
0.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.697 * [taylor]: Taking taylor expansion of 0 in y
0.697 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.698 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.699 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.699 * [taylor]: Taking taylor expansion of 1/2 in z
0.699 * [backup-simplify]: Simplify 1/2 into 1/2
0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.699 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.699 * [taylor]: Taking taylor expansion of z in z
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (* 1 1) into 1
0.700 * [backup-simplify]: Simplify (/ 1 1) into 1
0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [taylor]: Taking taylor expansion of 0 in z
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [taylor]: Taking taylor expansion of 0 in z
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.711 * [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))))))
0.711 * [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
0.711 * [taylor]: Taking taylor expansion of -1/2 in y
0.711 * [backup-simplify]: Simplify -1/2 into -1/2
0.711 * [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
0.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.711 * [taylor]: Taking taylor expansion of 1/4 in y
0.711 * [backup-simplify]: Simplify 1/4 into 1/4
0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.711 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.711 * [taylor]: Taking taylor expansion of z in y
0.711 * [backup-simplify]: Simplify z into z
0.711 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.711 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.712 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.712 * [taylor]: Taking taylor expansion of 1/2 in y
0.712 * [backup-simplify]: Simplify 1/2 into 1/2
0.712 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.712 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.712 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.712 * [taylor]: Taking taylor expansion of z in y
0.712 * [backup-simplify]: Simplify z into z
0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.712 * [taylor]: Taking taylor expansion of y in y
0.712 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.712 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.712 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.713 * [taylor]: Taking taylor expansion of 1/4 in y
0.713 * [backup-simplify]: Simplify 1/4 into 1/4
0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.713 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.713 * [taylor]: Taking taylor expansion of y in y
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.713 * [backup-simplify]: Simplify (* 1 1) into 1
0.713 * [backup-simplify]: Simplify (* 1 1) into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.715 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.724 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.724 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.725 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.726 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.726 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.727 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.727 * [taylor]: Taking taylor expansion of 0 in z
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [taylor]: Taking taylor expansion of 0 in z
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (+ 0 0) into 0
0.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.730 * [taylor]: Taking taylor expansion of 0 in z
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [taylor]: Taking taylor expansion of 0 in z
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [taylor]: Taking taylor expansion of 0 in z
0.730 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.733 * [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)))))
0.733 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.733 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.733 * [taylor]: Taking taylor expansion of x in z
0.733 * [backup-simplify]: Simplify x into x
0.733 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.734 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.734 * [taylor]: Taking taylor expansion of z in z
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (* 1 1) into 1
0.734 * [backup-simplify]: Simplify (/ 1 1) into 1
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.734 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.734 * [taylor]: Taking taylor expansion of y in z
0.734 * [backup-simplify]: Simplify y into y
0.734 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.735 * [backup-simplify]: Simplify (+ 1 0) into 1
0.735 * [backup-simplify]: Simplify (+ 0 1) into 1
0.736 * [backup-simplify]: Simplify (sqrt 1) into 1
0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.738 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.738 * [taylor]: Taking taylor expansion of x in y
0.738 * [backup-simplify]: Simplify x into x
0.738 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.738 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.738 * [taylor]: Taking taylor expansion of z in y
0.738 * [backup-simplify]: Simplify z into z
0.738 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.738 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.739 * [taylor]: Taking taylor expansion of y in y
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (* 1 1) into 1
0.739 * [backup-simplify]: Simplify (/ 1 1) into 1
0.740 * [backup-simplify]: Simplify (+ 0 1) into 1
0.740 * [backup-simplify]: Simplify (+ 0 1) into 1
0.740 * [backup-simplify]: Simplify (sqrt 1) into 1
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (+ 0 0) into 0
0.742 * [backup-simplify]: Simplify (+ 0 0) into 0
0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.743 * [taylor]: Taking taylor expansion of x in x
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.743 * [backup-simplify]: Simplify (/ 1 1) into 1
0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.743 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.743 * [taylor]: Taking taylor expansion of z in x
0.743 * [backup-simplify]: Simplify z into z
0.743 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.744 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.744 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.744 * [taylor]: Taking taylor expansion of y in x
0.744 * [backup-simplify]: Simplify y into y
0.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.744 * [backup-simplify]: Simplify (+ 1 0) into 1
0.745 * [backup-simplify]: Simplify (sqrt 1) into 1
0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ 0 0) into 0
0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.747 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.747 * [taylor]: Taking taylor expansion of x in x
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.747 * [backup-simplify]: Simplify (* 1 1) into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.748 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.748 * [taylor]: Taking taylor expansion of z in x
0.748 * [backup-simplify]: Simplify z into z
0.748 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.748 * [taylor]: Taking taylor expansion of y in x
0.748 * [backup-simplify]: Simplify y into y
0.748 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.749 * [backup-simplify]: Simplify (+ 1 0) into 1
0.749 * [backup-simplify]: Simplify (sqrt 1) into 1
0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (+ 0 0) into 0
0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.751 * [taylor]: Taking taylor expansion of 1 in y
0.751 * [backup-simplify]: Simplify 1 into 1
0.751 * [taylor]: Taking taylor expansion of 0 in y
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [taylor]: Taking taylor expansion of 1 in z
0.751 * [backup-simplify]: Simplify 1 into 1
0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.753 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.754 * [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))))
0.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.754 * [taylor]: Taking taylor expansion of 1/2 in y
0.754 * [backup-simplify]: Simplify 1/2 into 1/2
0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.754 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.754 * [taylor]: Taking taylor expansion of z in y
0.754 * [backup-simplify]: Simplify z into z
0.755 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.755 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.755 * [taylor]: Taking taylor expansion of y in y
0.755 * [backup-simplify]: Simplify 0 into 0
0.755 * [backup-simplify]: Simplify 1 into 1
0.755 * [backup-simplify]: Simplify (* 1 1) into 1
0.755 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify (+ 0 0) into 0
0.757 * [backup-simplify]: Simplify (+ 0 1) into 1
0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.758 * [taylor]: Taking taylor expansion of 0 in z
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [taylor]: Taking taylor expansion of 0 in z
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [taylor]: Taking taylor expansion of 0 in z
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.760 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.761 * [taylor]: Taking taylor expansion of 0 in y
0.761 * [backup-simplify]: Simplify 0 into 0
0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.764 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.764 * [taylor]: Taking taylor expansion of 1/2 in z
0.764 * [backup-simplify]: Simplify 1/2 into 1/2
0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.764 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.764 * [taylor]: Taking taylor expansion of z in z
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 1 into 1
0.764 * [backup-simplify]: Simplify (* 1 1) into 1
0.764 * [backup-simplify]: Simplify (/ 1 1) into 1
0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [taylor]: Taking taylor expansion of 0 in z
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [taylor]: Taking taylor expansion of 0 in z
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.770 * [backup-simplify]: Simplify (+ 0 0) into 0
0.770 * [backup-simplify]: Simplify (+ 0 0) into 0
0.771 * [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))))))
0.772 * [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
0.772 * [taylor]: Taking taylor expansion of -1/2 in y
0.772 * [backup-simplify]: Simplify -1/2 into -1/2
0.772 * [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
0.772 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.772 * [taylor]: Taking taylor expansion of 1/4 in y
0.772 * [backup-simplify]: Simplify 1/4 into 1/4
0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.772 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.772 * [taylor]: Taking taylor expansion of z in y
0.772 * [backup-simplify]: Simplify z into z
0.772 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.772 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.772 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.772 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.772 * [taylor]: Taking taylor expansion of 1/2 in y
0.772 * [backup-simplify]: Simplify 1/2 into 1/2
0.772 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.772 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.772 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.772 * [taylor]: Taking taylor expansion of z in y
0.772 * [backup-simplify]: Simplify z into z
0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.772 * [taylor]: Taking taylor expansion of y in y
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.773 * [backup-simplify]: Simplify (* 1 1) into 1
0.773 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.773 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.773 * [taylor]: Taking taylor expansion of 1/4 in y
0.773 * [backup-simplify]: Simplify 1/4 into 1/4
0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.773 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.773 * [taylor]: Taking taylor expansion of y in y
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (* 1 1) into 1
0.774 * [backup-simplify]: Simplify (* 1 1) into 1
0.774 * [backup-simplify]: Simplify (/ 1 1) into 1
0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.775 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.775 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.783 * [backup-simplify]: Simplify (+ 0 0) into 0
0.783 * [backup-simplify]: Simplify (+ 0 0) into 0
0.784 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.784 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.785 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.786 * [backup-simplify]: Simplify (+ 0 0) into 0
0.786 * [backup-simplify]: Simplify (+ 0 0) into 0
0.786 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.786 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.787 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.788 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.788 * [taylor]: Taking taylor expansion of 0 in z
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [taylor]: Taking taylor expansion of 0 in z
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.790 * [backup-simplify]: Simplify (+ 0 0) into 0
0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.791 * [taylor]: Taking taylor expansion of 0 in z
0.791 * [backup-simplify]: Simplify 0 into 0
0.791 * [taylor]: Taking taylor expansion of 0 in z
0.791 * [backup-simplify]: Simplify 0 into 0
0.791 * [taylor]: Taking taylor expansion of 0 in z
0.791 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.794 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
0.794 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.794 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.794 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.794 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.794 * [taylor]: Taking taylor expansion of x in z
0.794 * [backup-simplify]: Simplify x into x
0.794 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.794 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.794 * [taylor]: Taking taylor expansion of y in z
0.794 * [backup-simplify]: Simplify y into y
0.794 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.794 * [taylor]: Taking taylor expansion of z in z
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.794 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.795 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.795 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.795 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.795 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.796 * [taylor]: Taking taylor expansion of x in y
0.796 * [backup-simplify]: Simplify x into x
0.796 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.796 * [taylor]: Taking taylor expansion of y in y
0.796 * [backup-simplify]: Simplify 0 into 0
0.796 * [backup-simplify]: Simplify 1 into 1
0.797 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.797 * [taylor]: Taking taylor expansion of z in y
0.797 * [backup-simplify]: Simplify z into z
0.797 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.797 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.797 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.797 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.797 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.797 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.797 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.798 * [backup-simplify]: Simplify (+ 0 0) into 0
0.798 * [backup-simplify]: Simplify (+ 0 0) into 0
0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.798 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.798 * [taylor]: Taking taylor expansion of x in x
0.798 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify 1 into 1
0.798 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.798 * [taylor]: Taking taylor expansion of y in x
0.798 * [backup-simplify]: Simplify y into y
0.798 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.799 * [taylor]: Taking taylor expansion of z in x
0.799 * [backup-simplify]: Simplify z into z
0.799 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.799 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.799 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.799 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.799 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.799 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.800 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.800 * [backup-simplify]: Simplify (+ 0 0) into 0
0.800 * [backup-simplify]: Simplify (+ 0 0) into 0
0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.801 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.801 * [taylor]: Taking taylor expansion of x in x
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 1 into 1
0.801 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.801 * [taylor]: Taking taylor expansion of y in x
0.801 * [backup-simplify]: Simplify y into y
0.801 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.801 * [taylor]: Taking taylor expansion of z in x
0.801 * [backup-simplify]: Simplify z into z
0.801 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.801 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.801 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.801 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.802 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.802 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.802 * [backup-simplify]: Simplify (+ 0 0) into 0
0.802 * [backup-simplify]: Simplify (+ 0 0) into 0
0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.803 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.803 * [taylor]: Taking taylor expansion of y in y
0.803 * [backup-simplify]: Simplify 0 into 0
0.803 * [backup-simplify]: Simplify 1 into 1
0.803 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.803 * [taylor]: Taking taylor expansion of z in y
0.803 * [backup-simplify]: Simplify z into z
0.803 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.803 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.803 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.803 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.804 * [backup-simplify]: Simplify (+ 0 0) into 0
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.804 * [taylor]: Taking taylor expansion of z in z
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [taylor]: Taking taylor expansion of 0 in y
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [taylor]: Taking taylor expansion of 0 in z
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [taylor]: Taking taylor expansion of 0 in z
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (* 1 1) into 1
0.805 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.805 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.806 * [backup-simplify]: Simplify (+ 0 0) into 0
0.806 * [backup-simplify]: Simplify (+ 1 0) into 1
0.807 * [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)))))
0.807 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.807 * [taylor]: Taking taylor expansion of 1/2 in y
0.807 * [backup-simplify]: Simplify 1/2 into 1/2
0.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.807 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.807 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.807 * [taylor]: Taking taylor expansion of y in y
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 1 into 1
0.807 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.807 * [taylor]: Taking taylor expansion of z in y
0.807 * [backup-simplify]: Simplify z into z
0.807 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.807 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.807 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.807 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.808 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.808 * [backup-simplify]: Simplify (+ 0 0) into 0
0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.808 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.808 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.808 * [taylor]: Taking taylor expansion of 1/2 in z
0.808 * [backup-simplify]: Simplify 1/2 into 1/2
0.808 * [taylor]: Taking taylor expansion of z in z
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify 1 into 1
0.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [taylor]: Taking taylor expansion of 0 in z
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.811 * [backup-simplify]: Simplify (+ 1 0) into 1
0.811 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.811 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.811 * [taylor]: Taking taylor expansion of 1/2 in z
0.811 * [backup-simplify]: Simplify 1/2 into 1/2
0.811 * [taylor]: Taking taylor expansion of z in z
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.813 * [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)))))
0.813 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.813 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.814 * [taylor]: Taking taylor expansion of x in z
0.814 * [backup-simplify]: Simplify x into x
0.814 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.814 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.814 * [taylor]: Taking taylor expansion of z in z
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (* 1 1) into 1
0.814 * [backup-simplify]: Simplify (/ 1 1) into 1
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.815 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.815 * [taylor]: Taking taylor expansion of y in z
0.815 * [backup-simplify]: Simplify y into y
0.815 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.815 * [backup-simplify]: Simplify (+ 1 0) into 1
0.815 * [backup-simplify]: Simplify (+ 0 1) into 1
0.816 * [backup-simplify]: Simplify (sqrt 1) into 1
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (+ 0 0) into 0
0.817 * [backup-simplify]: Simplify (+ 0 0) into 0
0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.818 * [taylor]: Taking taylor expansion of x in y
0.818 * [backup-simplify]: Simplify x into x
0.818 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.818 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.818 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.819 * [taylor]: Taking taylor expansion of z in y
0.819 * [backup-simplify]: Simplify z into z
0.819 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.819 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.819 * [taylor]: Taking taylor expansion of y in y
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 1 into 1
0.819 * [backup-simplify]: Simplify (* 1 1) into 1
0.819 * [backup-simplify]: Simplify (/ 1 1) into 1
0.820 * [backup-simplify]: Simplify (+ 0 1) into 1
0.820 * [backup-simplify]: Simplify (+ 0 1) into 1
0.820 * [backup-simplify]: Simplify (sqrt 1) into 1
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.822 * [backup-simplify]: Simplify (+ 0 0) into 0
0.822 * [backup-simplify]: Simplify (+ 0 0) into 0
0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.823 * [taylor]: Taking taylor expansion of x in x
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (* 1 1) into 1
0.823 * [backup-simplify]: Simplify (/ 1 1) into 1
0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.824 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.824 * [taylor]: Taking taylor expansion of z in x
0.824 * [backup-simplify]: Simplify z into z
0.824 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.824 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.824 * [taylor]: Taking taylor expansion of y in x
0.824 * [backup-simplify]: Simplify y into y
0.824 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.824 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.824 * [backup-simplify]: Simplify (+ 1 0) into 1
0.825 * [backup-simplify]: Simplify (sqrt 1) into 1
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ 0 0) into 0
0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.832 * [taylor]: Taking taylor expansion of x in x
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.833 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.833 * [taylor]: Taking taylor expansion of z in x
0.833 * [backup-simplify]: Simplify z into z
0.833 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.833 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.833 * [taylor]: Taking taylor expansion of y in x
0.833 * [backup-simplify]: Simplify y into y
0.833 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.833 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.834 * [backup-simplify]: Simplify (+ 1 0) into 1
0.834 * [backup-simplify]: Simplify (sqrt 1) into 1
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.836 * [taylor]: Taking taylor expansion of 1 in y
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of 0 in y
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [taylor]: Taking taylor expansion of 1 in z
0.836 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.838 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.838 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.839 * [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))))
0.839 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.839 * [taylor]: Taking taylor expansion of 1/2 in y
0.840 * [backup-simplify]: Simplify 1/2 into 1/2
0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.840 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.840 * [taylor]: Taking taylor expansion of z in y
0.840 * [backup-simplify]: Simplify z into z
0.840 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.840 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.840 * [taylor]: Taking taylor expansion of y in y
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify 1 into 1
0.840 * [backup-simplify]: Simplify (* 1 1) into 1
0.841 * [backup-simplify]: Simplify (/ 1 1) into 1
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.842 * [backup-simplify]: Simplify (+ 0 0) into 0
0.842 * [backup-simplify]: Simplify (+ 0 1) into 1
0.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.843 * [taylor]: Taking taylor expansion of 0 in z
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [taylor]: Taking taylor expansion of 0 in z
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [taylor]: Taking taylor expansion of 0 in z
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.845 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.847 * [taylor]: Taking taylor expansion of 0 in y
0.847 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.848 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.849 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.849 * [taylor]: Taking taylor expansion of 1/2 in z
0.849 * [backup-simplify]: Simplify 1/2 into 1/2
0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.849 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.849 * [taylor]: Taking taylor expansion of z in z
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.850 * [backup-simplify]: Simplify (* 1 1) into 1
0.850 * [backup-simplify]: Simplify (/ 1 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.852 * [taylor]: Taking taylor expansion of 0 in z
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [taylor]: Taking taylor expansion of 0 in z
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.855 * [backup-simplify]: Simplify (+ 0 0) into 0
0.855 * [backup-simplify]: Simplify (+ 0 0) into 0
0.857 * [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))))))
0.857 * [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
0.857 * [taylor]: Taking taylor expansion of -1/2 in y
0.857 * [backup-simplify]: Simplify -1/2 into -1/2
0.857 * [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
0.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.857 * [taylor]: Taking taylor expansion of 1/4 in y
0.857 * [backup-simplify]: Simplify 1/4 into 1/4
0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.857 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.857 * [taylor]: Taking taylor expansion of z in y
0.857 * [backup-simplify]: Simplify z into z
0.857 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.857 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.857 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.858 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.858 * [taylor]: Taking taylor expansion of 1/2 in y
0.858 * [backup-simplify]: Simplify 1/2 into 1/2
0.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.858 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.858 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.858 * [taylor]: Taking taylor expansion of z in y
0.858 * [backup-simplify]: Simplify z into z
0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.858 * [taylor]: Taking taylor expansion of y in y
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.858 * [backup-simplify]: Simplify (* 1 1) into 1
0.858 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.858 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.858 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.858 * [taylor]: Taking taylor expansion of 1/4 in y
0.858 * [backup-simplify]: Simplify 1/4 into 1/4
0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.858 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.859 * [taylor]: Taking taylor expansion of y in y
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.860 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.861 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.869 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.870 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.870 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.871 * [backup-simplify]: Simplify (+ 0 0) into 0
0.871 * [backup-simplify]: Simplify (+ 0 0) into 0
0.872 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.872 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.872 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.873 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.873 * [taylor]: Taking taylor expansion of 0 in z
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [taylor]: Taking taylor expansion of 0 in z
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify (+ 0 0) into 0
0.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.876 * [taylor]: Taking taylor expansion of 0 in z
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [taylor]: Taking taylor expansion of 0 in z
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [taylor]: Taking taylor expansion of 0 in z
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.879 * [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)))))
0.879 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.879 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.879 * [taylor]: Taking taylor expansion of x in z
0.879 * [backup-simplify]: Simplify x into x
0.879 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.879 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.879 * [taylor]: Taking taylor expansion of z in z
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [backup-simplify]: Simplify (* 1 1) into 1
0.880 * [backup-simplify]: Simplify (/ 1 1) into 1
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.880 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.880 * [taylor]: Taking taylor expansion of y in z
0.880 * [backup-simplify]: Simplify y into y
0.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.880 * [backup-simplify]: Simplify (+ 1 0) into 1
0.880 * [backup-simplify]: Simplify (+ 0 1) into 1
0.881 * [backup-simplify]: Simplify (sqrt 1) into 1
0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.882 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.882 * [taylor]: Taking taylor expansion of x in y
0.882 * [backup-simplify]: Simplify x into x
0.882 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.883 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.883 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.883 * [taylor]: Taking taylor expansion of z in y
0.883 * [backup-simplify]: Simplify z into z
0.883 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.883 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.883 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.883 * [taylor]: Taking taylor expansion of y in y
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 1 into 1
0.883 * [backup-simplify]: Simplify (* 1 1) into 1
0.883 * [backup-simplify]: Simplify (/ 1 1) into 1
0.884 * [backup-simplify]: Simplify (+ 0 1) into 1
0.884 * [backup-simplify]: Simplify (+ 0 1) into 1
0.884 * [backup-simplify]: Simplify (sqrt 1) into 1
0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.885 * [backup-simplify]: Simplify (+ 0 0) into 0
0.885 * [backup-simplify]: Simplify (+ 0 0) into 0
0.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.886 * [taylor]: Taking taylor expansion of x in x
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (* 1 1) into 1
0.887 * [backup-simplify]: Simplify (/ 1 1) into 1
0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.887 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.887 * [taylor]: Taking taylor expansion of z in x
0.887 * [backup-simplify]: Simplify z into z
0.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.887 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.887 * [taylor]: Taking taylor expansion of y in x
0.887 * [backup-simplify]: Simplify y into y
0.887 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.888 * [backup-simplify]: Simplify (+ 1 0) into 1
0.888 * [backup-simplify]: Simplify (sqrt 1) into 1
0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.889 * [backup-simplify]: Simplify (+ 0 0) into 0
0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.890 * [taylor]: Taking taylor expansion of x in x
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [backup-simplify]: Simplify (* 1 1) into 1
0.891 * [backup-simplify]: Simplify (/ 1 1) into 1
0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.891 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.891 * [taylor]: Taking taylor expansion of z in x
0.891 * [backup-simplify]: Simplify z into z
0.891 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.891 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.891 * [taylor]: Taking taylor expansion of y in x
0.891 * [backup-simplify]: Simplify y into y
0.891 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.891 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.892 * [backup-simplify]: Simplify (+ 1 0) into 1
0.892 * [backup-simplify]: Simplify (sqrt 1) into 1
0.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.893 * [backup-simplify]: Simplify (+ 0 0) into 0
0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.894 * [taylor]: Taking taylor expansion of 1 in y
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [taylor]: Taking taylor expansion of 0 in y
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [taylor]: Taking taylor expansion of 1 in z
0.894 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.896 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.897 * [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))))
0.897 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.897 * [taylor]: Taking taylor expansion of 1/2 in y
0.897 * [backup-simplify]: Simplify 1/2 into 1/2
0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.898 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.898 * [taylor]: Taking taylor expansion of z in y
0.898 * [backup-simplify]: Simplify z into z
0.898 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.898 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.898 * [taylor]: Taking taylor expansion of y in y
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify 1 into 1
0.898 * [backup-simplify]: Simplify (* 1 1) into 1
0.899 * [backup-simplify]: Simplify (/ 1 1) into 1
0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (+ 0 1) into 1
0.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.901 * [taylor]: Taking taylor expansion of 0 in z
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [taylor]: Taking taylor expansion of 0 in z
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [taylor]: Taking taylor expansion of 0 in z
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify 1 into 1
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.903 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.903 * [backup-simplify]: Simplify (+ 0 0) into 0
0.904 * [backup-simplify]: Simplify (+ 0 0) into 0
0.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.904 * [taylor]: Taking taylor expansion of 0 in y
0.905 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.907 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.907 * [taylor]: Taking taylor expansion of 1/2 in z
0.907 * [backup-simplify]: Simplify 1/2 into 1/2
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.907 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.907 * [taylor]: Taking taylor expansion of z in z
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 1 into 1
0.907 * [backup-simplify]: Simplify (* 1 1) into 1
0.908 * [backup-simplify]: Simplify (/ 1 1) into 1
0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [taylor]: Taking taylor expansion of 0 in z
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [taylor]: Taking taylor expansion of 0 in z
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.913 * [backup-simplify]: Simplify (+ 0 0) into 0
0.913 * [backup-simplify]: Simplify (+ 0 0) into 0
0.915 * [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))))))
0.915 * [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
0.915 * [taylor]: Taking taylor expansion of -1/2 in y
0.915 * [backup-simplify]: Simplify -1/2 into -1/2
0.915 * [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
0.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.915 * [taylor]: Taking taylor expansion of 1/4 in y
0.915 * [backup-simplify]: Simplify 1/4 into 1/4
0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.915 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.915 * [taylor]: Taking taylor expansion of z in y
0.915 * [backup-simplify]: Simplify z into z
0.915 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.915 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.915 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.915 * [taylor]: Taking taylor expansion of 1/2 in y
0.915 * [backup-simplify]: Simplify 1/2 into 1/2
0.915 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.915 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.915 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.915 * [taylor]: Taking taylor expansion of z in y
0.915 * [backup-simplify]: Simplify z into z
0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.916 * [taylor]: Taking taylor expansion of y in y
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 1 into 1
0.916 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.916 * [backup-simplify]: Simplify (* 1 1) into 1
0.916 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.916 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.916 * [taylor]: Taking taylor expansion of 1/4 in y
0.916 * [backup-simplify]: Simplify 1/4 into 1/4
0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.916 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.916 * [taylor]: Taking taylor expansion of y in y
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 1 into 1
0.917 * [backup-simplify]: Simplify (* 1 1) into 1
0.917 * [backup-simplify]: Simplify (* 1 1) into 1
0.917 * [backup-simplify]: Simplify (/ 1 1) into 1
0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.918 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.918 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ 0 0) into 0
0.926 * [backup-simplify]: Simplify (+ 0 0) into 0
0.927 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.927 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.927 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.928 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.929 * [backup-simplify]: Simplify (+ 0 0) into 0
0.929 * [backup-simplify]: Simplify (+ 0 0) into 0
0.929 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.930 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.930 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.931 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.931 * [taylor]: Taking taylor expansion of 0 in z
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [taylor]: Taking taylor expansion of 0 in z
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.933 * [backup-simplify]: Simplify (+ 0 0) into 0
0.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.934 * [taylor]: Taking taylor expansion of 0 in z
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [taylor]: Taking taylor expansion of 0 in z
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [taylor]: Taking taylor expansion of 0 in z
0.934 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
0.937 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.937 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.937 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.937 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.937 * [taylor]: Taking taylor expansion of x in z
0.937 * [backup-simplify]: Simplify x into x
0.937 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.937 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.937 * [taylor]: Taking taylor expansion of y in z
0.937 * [backup-simplify]: Simplify y into y
0.937 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.937 * [taylor]: Taking taylor expansion of z in z
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.937 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.937 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.937 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.938 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.938 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.938 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.939 * [backup-simplify]: Simplify (+ 0 0) into 0
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.939 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.939 * [taylor]: Taking taylor expansion of x in y
0.939 * [backup-simplify]: Simplify x into x
0.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.939 * [taylor]: Taking taylor expansion of y in y
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 1 into 1
0.939 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.939 * [taylor]: Taking taylor expansion of z in y
0.939 * [backup-simplify]: Simplify z into z
0.939 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.939 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.939 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.940 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.940 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.940 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.940 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.940 * [backup-simplify]: Simplify (+ 0 0) into 0
0.941 * [backup-simplify]: Simplify (+ 0 0) into 0
0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.941 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.941 * [taylor]: Taking taylor expansion of x in x
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.941 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.941 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.941 * [taylor]: Taking taylor expansion of y in x
0.941 * [backup-simplify]: Simplify y into y
0.941 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.941 * [taylor]: Taking taylor expansion of z in x
0.941 * [backup-simplify]: Simplify z into z
0.941 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.941 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.941 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.942 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.942 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.942 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.942 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.943 * [backup-simplify]: Simplify (+ 0 0) into 0
0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.943 * [taylor]: Taking taylor expansion of x in x
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.943 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.943 * [taylor]: Taking taylor expansion of y in x
0.943 * [backup-simplify]: Simplify y into y
0.943 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.943 * [taylor]: Taking taylor expansion of z in x
0.943 * [backup-simplify]: Simplify z into z
0.943 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.943 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.944 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.944 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.944 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.944 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.944 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.944 * [backup-simplify]: Simplify (+ 0 0) into 0
0.945 * [backup-simplify]: Simplify (+ 0 0) into 0
0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.945 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.945 * [taylor]: Taking taylor expansion of y in y
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 1 into 1
0.945 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.945 * [taylor]: Taking taylor expansion of z in y
0.945 * [backup-simplify]: Simplify z into z
0.945 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.945 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.946 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.946 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.946 * [backup-simplify]: Simplify (+ 0 0) into 0
0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.946 * [taylor]: Taking taylor expansion of z in z
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify 0 into 0
0.947 * [taylor]: Taking taylor expansion of 0 in y
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [taylor]: Taking taylor expansion of 0 in z
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [taylor]: Taking taylor expansion of 0 in z
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 1 into 1
0.947 * [backup-simplify]: Simplify (* 1 1) into 1
0.947 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.948 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.954 * [backup-simplify]: Simplify (+ 1 0) into 1
0.955 * [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)))))
0.955 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.955 * [taylor]: Taking taylor expansion of 1/2 in y
0.955 * [backup-simplify]: Simplify 1/2 into 1/2
0.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.955 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.955 * [taylor]: Taking taylor expansion of y in y
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.955 * [taylor]: Taking taylor expansion of z in y
0.955 * [backup-simplify]: Simplify z into z
0.955 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.955 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.955 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.955 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.956 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.956 * [backup-simplify]: Simplify (+ 0 0) into 0
0.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.956 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.956 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.956 * [taylor]: Taking taylor expansion of 1/2 in z
0.956 * [backup-simplify]: Simplify 1/2 into 1/2
0.956 * [taylor]: Taking taylor expansion of z in z
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 1 into 1
0.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in z
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (* 1 1) into 1
0.958 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.959 * [backup-simplify]: Simplify (+ 1 0) into 1
0.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.959 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.959 * [taylor]: Taking taylor expansion of 1/2 in z
0.959 * [backup-simplify]: Simplify 1/2 into 1/2
0.959 * [taylor]: Taking taylor expansion of z in z
0.959 * [backup-simplify]: Simplify 0 into 0
0.960 * [backup-simplify]: Simplify 1 into 1
0.960 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.961 * [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)))))
0.961 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.962 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.962 * [taylor]: Taking taylor expansion of x in z
0.962 * [backup-simplify]: Simplify x into x
0.962 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.962 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.962 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.962 * [taylor]: Taking taylor expansion of z in z
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (* 1 1) into 1
0.963 * [backup-simplify]: Simplify (/ 1 1) into 1
0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.963 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.963 * [taylor]: Taking taylor expansion of y in z
0.963 * [backup-simplify]: Simplify y into y
0.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.963 * [backup-simplify]: Simplify (+ 1 0) into 1
0.963 * [backup-simplify]: Simplify (+ 0 1) into 1
0.964 * [backup-simplify]: Simplify (sqrt 1) into 1
0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (+ 0 0) into 0
0.965 * [backup-simplify]: Simplify (+ 0 0) into 0
0.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.966 * [taylor]: Taking taylor expansion of x in y
0.966 * [backup-simplify]: Simplify x into x
0.966 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.966 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.966 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.966 * [taylor]: Taking taylor expansion of z in y
0.966 * [backup-simplify]: Simplify z into z
0.967 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.967 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.967 * [taylor]: Taking taylor expansion of y in y
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify 1 into 1
0.967 * [backup-simplify]: Simplify (* 1 1) into 1
0.967 * [backup-simplify]: Simplify (/ 1 1) into 1
0.968 * [backup-simplify]: Simplify (+ 0 1) into 1
0.968 * [backup-simplify]: Simplify (+ 0 1) into 1
0.968 * [backup-simplify]: Simplify (sqrt 1) into 1
0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.971 * [taylor]: Taking taylor expansion of x in x
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 1 into 1
0.971 * [backup-simplify]: Simplify (* 1 1) into 1
0.971 * [backup-simplify]: Simplify (/ 1 1) into 1
0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.971 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.971 * [taylor]: Taking taylor expansion of z in x
0.971 * [backup-simplify]: Simplify z into z
0.971 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.971 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.971 * [taylor]: Taking taylor expansion of y in x
0.971 * [backup-simplify]: Simplify y into y
0.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.972 * [backup-simplify]: Simplify (+ 1 0) into 1
0.972 * [backup-simplify]: Simplify (sqrt 1) into 1
0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.973 * [backup-simplify]: Simplify (+ 0 0) into 0
0.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.974 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.974 * [taylor]: Taking taylor expansion of x in x
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 1 into 1
0.974 * [backup-simplify]: Simplify (* 1 1) into 1
0.974 * [backup-simplify]: Simplify (/ 1 1) into 1
0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.974 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.974 * [taylor]: Taking taylor expansion of z in x
0.974 * [backup-simplify]: Simplify z into z
0.974 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.974 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.974 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.974 * [taylor]: Taking taylor expansion of y in x
0.974 * [backup-simplify]: Simplify y into y
0.974 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.975 * [backup-simplify]: Simplify (+ 1 0) into 1
0.975 * [backup-simplify]: Simplify (sqrt 1) into 1
0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.976 * [backup-simplify]: Simplify (+ 0 0) into 0
0.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.977 * [taylor]: Taking taylor expansion of 1 in y
0.977 * [backup-simplify]: Simplify 1 into 1
0.977 * [taylor]: Taking taylor expansion of 0 in y
0.977 * [backup-simplify]: Simplify 0 into 0
0.977 * [taylor]: Taking taylor expansion of 1 in z
0.977 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.978 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.979 * [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))))
0.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.979 * [taylor]: Taking taylor expansion of 1/2 in y
0.979 * [backup-simplify]: Simplify 1/2 into 1/2
0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.979 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.979 * [taylor]: Taking taylor expansion of z in y
0.979 * [backup-simplify]: Simplify z into z
0.979 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.979 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.979 * [taylor]: Taking taylor expansion of y in y
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify 1 into 1
0.980 * [backup-simplify]: Simplify (* 1 1) into 1
0.980 * [backup-simplify]: Simplify (/ 1 1) into 1
0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.981 * [backup-simplify]: Simplify (+ 0 0) into 0
0.981 * [backup-simplify]: Simplify (+ 0 1) into 1
0.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.982 * [taylor]: Taking taylor expansion of 0 in z
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [taylor]: Taking taylor expansion of 0 in z
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [taylor]: Taking taylor expansion of 0 in z
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.983 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.984 * [backup-simplify]: Simplify (+ 0 0) into 0
0.984 * [backup-simplify]: Simplify (+ 0 0) into 0
0.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.984 * [taylor]: Taking taylor expansion of 0 in y
0.984 * [backup-simplify]: Simplify 0 into 0
0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.986 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.986 * [taylor]: Taking taylor expansion of 1/2 in z
0.986 * [backup-simplify]: Simplify 1/2 into 1/2
0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.986 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.986 * [taylor]: Taking taylor expansion of z in z
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 1 into 1
0.986 * [backup-simplify]: Simplify (* 1 1) into 1
0.987 * [backup-simplify]: Simplify (/ 1 1) into 1
0.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [taylor]: Taking taylor expansion of 0 in z
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [taylor]: Taking taylor expansion of 0 in z
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.989 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.991 * [backup-simplify]: Simplify (+ 0 0) into 0
0.991 * [backup-simplify]: Simplify (+ 0 0) into 0
0.992 * [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))))))
0.992 * [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
0.992 * [taylor]: Taking taylor expansion of -1/2 in y
0.992 * [backup-simplify]: Simplify -1/2 into -1/2
0.992 * [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
0.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.992 * [taylor]: Taking taylor expansion of 1/4 in y
0.992 * [backup-simplify]: Simplify 1/4 into 1/4
0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.992 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.992 * [taylor]: Taking taylor expansion of z in y
0.992 * [backup-simplify]: Simplify z into z
0.992 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.992 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.992 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.992 * [taylor]: Taking taylor expansion of 1/2 in y
0.992 * [backup-simplify]: Simplify 1/2 into 1/2
0.992 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.992 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.992 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.992 * [taylor]: Taking taylor expansion of z in y
0.992 * [backup-simplify]: Simplify z into z
0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.992 * [taylor]: Taking taylor expansion of y in y
0.992 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.993 * [backup-simplify]: Simplify (* 1 1) into 1
0.993 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.993 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.993 * [taylor]: Taking taylor expansion of 1/4 in y
0.993 * [backup-simplify]: Simplify 1/4 into 1/4
0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.993 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.993 * [taylor]: Taking taylor expansion of y in y
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (* 1 1) into 1
0.994 * [backup-simplify]: Simplify (* 1 1) into 1
0.994 * [backup-simplify]: Simplify (/ 1 1) into 1
0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.994 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.995 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.001 * [backup-simplify]: Simplify (+ 0 0) into 0
1.001 * [backup-simplify]: Simplify (+ 0 0) into 0
1.001 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.002 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.002 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.002 * [backup-simplify]: Simplify (+ 0 0) into 0
1.003 * [backup-simplify]: Simplify (+ 0 0) into 0
1.003 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.003 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.003 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.004 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.004 * [taylor]: Taking taylor expansion of 0 in z
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [taylor]: Taking taylor expansion of 0 in z
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.007 * [taylor]: Taking taylor expansion of 0 in z
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [taylor]: Taking taylor expansion of 0 in z
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [taylor]: Taking taylor expansion of 0 in z
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.009 * [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)))))
1.009 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.009 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.009 * [taylor]: Taking taylor expansion of x in z
1.009 * [backup-simplify]: Simplify x into x
1.009 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.009 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.009 * [taylor]: Taking taylor expansion of z in z
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 1 into 1
1.010 * [backup-simplify]: Simplify (* 1 1) into 1
1.010 * [backup-simplify]: Simplify (/ 1 1) into 1
1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.010 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.010 * [taylor]: Taking taylor expansion of y in z
1.010 * [backup-simplify]: Simplify y into y
1.010 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.010 * [backup-simplify]: Simplify (+ 1 0) into 1
1.011 * [backup-simplify]: Simplify (+ 0 1) into 1
1.011 * [backup-simplify]: Simplify (sqrt 1) into 1
1.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.012 * [backup-simplify]: Simplify (+ 0 0) into 0
1.012 * [backup-simplify]: Simplify (+ 0 0) into 0
1.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.013 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.013 * [taylor]: Taking taylor expansion of x in y
1.013 * [backup-simplify]: Simplify x into x
1.013 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.013 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.013 * [taylor]: Taking taylor expansion of z in y
1.013 * [backup-simplify]: Simplify z into z
1.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.013 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.013 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.013 * [taylor]: Taking taylor expansion of y in y
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [backup-simplify]: Simplify (* 1 1) into 1
1.014 * [backup-simplify]: Simplify (/ 1 1) into 1
1.014 * [backup-simplify]: Simplify (+ 0 1) into 1
1.014 * [backup-simplify]: Simplify (+ 0 1) into 1
1.014 * [backup-simplify]: Simplify (sqrt 1) into 1
1.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.015 * [backup-simplify]: Simplify (+ 0 0) into 0
1.016 * [backup-simplify]: Simplify (+ 0 0) into 0
1.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.016 * [taylor]: Taking taylor expansion of x in x
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify 1 into 1
1.016 * [backup-simplify]: Simplify (* 1 1) into 1
1.017 * [backup-simplify]: Simplify (/ 1 1) into 1
1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.017 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.017 * [taylor]: Taking taylor expansion of z in x
1.017 * [backup-simplify]: Simplify z into z
1.017 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.017 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.017 * [taylor]: Taking taylor expansion of y in x
1.017 * [backup-simplify]: Simplify y into y
1.017 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.017 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.017 * [backup-simplify]: Simplify (+ 1 0) into 1
1.018 * [backup-simplify]: Simplify (sqrt 1) into 1
1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ 0 0) into 0
1.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.019 * [taylor]: Taking taylor expansion of x in x
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 1 into 1
1.019 * [backup-simplify]: Simplify (* 1 1) into 1
1.020 * [backup-simplify]: Simplify (/ 1 1) into 1
1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.020 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.020 * [taylor]: Taking taylor expansion of z in x
1.020 * [backup-simplify]: Simplify z into z
1.020 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.020 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.020 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.020 * [taylor]: Taking taylor expansion of y in x
1.020 * [backup-simplify]: Simplify y into y
1.020 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.020 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.020 * [backup-simplify]: Simplify (+ 1 0) into 1
1.021 * [backup-simplify]: Simplify (sqrt 1) into 1
1.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.022 * [backup-simplify]: Simplify (+ 0 0) into 0
1.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.023 * [taylor]: Taking taylor expansion of 1 in y
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [taylor]: Taking taylor expansion of 0 in y
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [taylor]: Taking taylor expansion of 1 in z
1.023 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.025 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.025 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.026 * [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))))
1.026 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.026 * [taylor]: Taking taylor expansion of 1/2 in y
1.026 * [backup-simplify]: Simplify 1/2 into 1/2
1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.026 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.026 * [taylor]: Taking taylor expansion of z in y
1.027 * [backup-simplify]: Simplify z into z
1.027 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.027 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.027 * [taylor]: Taking taylor expansion of y in y
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 1 into 1
1.027 * [backup-simplify]: Simplify (* 1 1) into 1
1.027 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.029 * [backup-simplify]: Simplify (+ 0 0) into 0
1.029 * [backup-simplify]: Simplify (+ 0 1) into 1
1.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.030 * [taylor]: Taking taylor expansion of 0 in z
1.030 * [backup-simplify]: Simplify 0 into 0
1.030 * [taylor]: Taking taylor expansion of 0 in z
1.030 * [backup-simplify]: Simplify 0 into 0
1.030 * [taylor]: Taking taylor expansion of 0 in z
1.030 * [backup-simplify]: Simplify 0 into 0
1.030 * [backup-simplify]: Simplify 1 into 1
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.032 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.033 * [backup-simplify]: Simplify (+ 0 0) into 0
1.033 * [backup-simplify]: Simplify (+ 0 0) into 0
1.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.034 * [taylor]: Taking taylor expansion of 0 in y
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.035 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.036 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.036 * [taylor]: Taking taylor expansion of 1/2 in z
1.036 * [backup-simplify]: Simplify 1/2 into 1/2
1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.036 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.036 * [taylor]: Taking taylor expansion of z in z
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify 1 into 1
1.036 * [backup-simplify]: Simplify (* 1 1) into 1
1.036 * [backup-simplify]: Simplify (/ 1 1) into 1
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [taylor]: Taking taylor expansion of 0 in z
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [taylor]: Taking taylor expansion of 0 in z
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.039 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.040 * [backup-simplify]: Simplify (+ 0 0) into 0
1.040 * [backup-simplify]: Simplify (+ 0 0) into 0
1.041 * [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))))))
1.041 * [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
1.041 * [taylor]: Taking taylor expansion of -1/2 in y
1.041 * [backup-simplify]: Simplify -1/2 into -1/2
1.041 * [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
1.041 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.041 * [taylor]: Taking taylor expansion of 1/4 in y
1.042 * [backup-simplify]: Simplify 1/4 into 1/4
1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.042 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.042 * [taylor]: Taking taylor expansion of z in y
1.042 * [backup-simplify]: Simplify z into z
1.042 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.042 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.042 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.042 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.042 * [taylor]: Taking taylor expansion of 1/2 in y
1.042 * [backup-simplify]: Simplify 1/2 into 1/2
1.042 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.042 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.042 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.042 * [taylor]: Taking taylor expansion of z in y
1.042 * [backup-simplify]: Simplify z into z
1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.042 * [taylor]: Taking taylor expansion of y in y
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify 1 into 1
1.042 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.042 * [backup-simplify]: Simplify (* 1 1) into 1
1.042 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.043 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.043 * [taylor]: Taking taylor expansion of 1/4 in y
1.043 * [backup-simplify]: Simplify 1/4 into 1/4
1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.043 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.043 * [taylor]: Taking taylor expansion of y in y
1.043 * [backup-simplify]: Simplify 0 into 0
1.043 * [backup-simplify]: Simplify 1 into 1
1.043 * [backup-simplify]: Simplify (* 1 1) into 1
1.043 * [backup-simplify]: Simplify (* 1 1) into 1
1.043 * [backup-simplify]: Simplify (/ 1 1) into 1
1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.044 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.044 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.059 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.060 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.061 * [backup-simplify]: Simplify (+ 0 0) into 0
1.061 * [backup-simplify]: Simplify (+ 0 0) into 0
1.061 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.062 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.062 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.063 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.063 * [taylor]: Taking taylor expansion of 0 in z
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in z
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.065 * [backup-simplify]: Simplify (+ 0 0) into 0
1.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.066 * [taylor]: Taking taylor expansion of 0 in z
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [taylor]: Taking taylor expansion of 0 in z
1.066 * [backup-simplify]: Simplify 0 into 0
1.067 * [taylor]: Taking taylor expansion of 0 in z
1.067 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1.069 * [backup-simplify]: Simplify (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6)
1.069 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in (x y z) around 0
1.069 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
1.069 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
1.069 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
1.069 * [taylor]: Taking taylor expansion of 1/6 in z
1.069 * [backup-simplify]: Simplify 1/6 into 1/6
1.069 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.069 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.070 * [taylor]: Taking taylor expansion of x in z
1.070 * [backup-simplify]: Simplify x into x
1.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.070 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.070 * [taylor]: Taking taylor expansion of y in z
1.070 * [backup-simplify]: Simplify y into y
1.070 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.070 * [taylor]: Taking taylor expansion of z in z
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.070 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.070 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.070 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
1.071 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
1.071 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
1.071 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in y
1.071 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
1.071 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
1.071 * [taylor]: Taking taylor expansion of 1/6 in y
1.071 * [backup-simplify]: Simplify 1/6 into 1/6
1.071 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.071 * [taylor]: Taking taylor expansion of x in y
1.071 * [backup-simplify]: Simplify x into x
1.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.071 * [taylor]: Taking taylor expansion of y in y
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 1 into 1
1.071 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.071 * [taylor]: Taking taylor expansion of z in y
1.071 * [backup-simplify]: Simplify z into z
1.071 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.071 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.072 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.072 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.072 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
1.072 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow z 2)))) into (* 1/6 (log (+ (pow x 2) (pow z 2))))
1.072 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/6)
1.073 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
1.073 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
1.073 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
1.073 * [taylor]: Taking taylor expansion of 1/6 in x
1.073 * [backup-simplify]: Simplify 1/6 into 1/6
1.073 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.073 * [taylor]: Taking taylor expansion of x in x
1.073 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify 1 into 1
1.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.073 * [taylor]: Taking taylor expansion of y in x
1.073 * [backup-simplify]: Simplify y into y
1.073 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.073 * [taylor]: Taking taylor expansion of z in x
1.073 * [backup-simplify]: Simplify z into z
1.073 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.073 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.073 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.073 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.074 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
1.074 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
1.074 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
1.074 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
1.074 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
1.074 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
1.074 * [taylor]: Taking taylor expansion of 1/6 in x
1.074 * [backup-simplify]: Simplify 1/6 into 1/6
1.074 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.074 * [taylor]: Taking taylor expansion of x in x
1.074 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 1 into 1
1.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.075 * [taylor]: Taking taylor expansion of y in x
1.075 * [backup-simplify]: Simplify y into y
1.075 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.075 * [taylor]: Taking taylor expansion of z in x
1.075 * [backup-simplify]: Simplify z into z
1.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.075 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.075 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.075 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.075 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
1.076 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
1.076 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
1.076 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/6) in y
1.076 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) in y
1.076 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) (pow z 2)))) in y
1.076 * [taylor]: Taking taylor expansion of 1/6 in y
1.076 * [backup-simplify]: Simplify 1/6 into 1/6
1.076 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
1.076 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.076 * [taylor]: Taking taylor expansion of y in y
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 1 into 1
1.076 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.076 * [taylor]: Taking taylor expansion of z in y
1.076 * [backup-simplify]: Simplify z into z
1.076 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.077 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.077 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
1.077 * [backup-simplify]: Simplify (* 1/6 (log (pow z 2))) into (* 1/6 (log (pow z 2)))
1.077 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow z 2)))) into (pow (pow z 2) 1/6)
1.077 * [taylor]: Taking taylor expansion of (pow (pow z 2) 1/6) in z
1.077 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow z 2)))) in z
1.077 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow z 2))) in z
1.077 * [taylor]: Taking taylor expansion of 1/6 in z
1.077 * [backup-simplify]: Simplify 1/6 into 1/6
1.077 * [taylor]: Taking taylor expansion of (log (pow z 2)) in z
1.077 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.077 * [taylor]: Taking taylor expansion of z in z
1.077 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify 1 into 1
1.077 * [backup-simplify]: Simplify (* 1 1) into 1
1.078 * [backup-simplify]: Simplify (log 1) into 0
1.078 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
1.078 * [backup-simplify]: Simplify (* 1/6 (* 2 (log z))) into (* 1/3 (log z))
1.078 * [backup-simplify]: Simplify (exp (* 1/3 (log z))) into (pow z 1/3)
1.078 * [backup-simplify]: Simplify (pow z 1/3) into (pow z 1/3)
1.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.079 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.079 * [backup-simplify]: Simplify (+ 0 0) into 0
1.079 * [backup-simplify]: Simplify (+ 0 0) into 0
1.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0
1.081 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0
1.082 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.082 * [taylor]: Taking taylor expansion of 0 in y
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [taylor]: Taking taylor expansion of 0 in z
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
1.083 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow z 2)))) into 0
1.083 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.083 * [taylor]: Taking taylor expansion of 0 in z
1.083 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.085 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
1.085 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log z)))) into 0
1.086 * [backup-simplify]: Simplify (* (exp (* 1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
1.086 * [backup-simplify]: Simplify 0 into 0
1.086 * [backup-simplify]: Simplify (* 1 1) into 1
1.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.087 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1.088 * [backup-simplify]: Simplify (+ 1 0) into 1
1.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow y 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow y 2) (pow z 2)))
1.090 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow y 2) (pow z 2)))))) into (* 1/6 (/ 1 (+ (pow y 2) (pow z 2))))
1.091 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6))
1.091 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6)) in y
1.091 * [taylor]: Taking taylor expansion of 1/6 in y
1.091 * [backup-simplify]: Simplify 1/6 into 1/6
1.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6) in y
1.092 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))) in y
1.092 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)))) in y
1.092 * [taylor]: Taking taylor expansion of 1/6 in y
1.092 * [backup-simplify]: Simplify 1/6 into 1/6
1.092 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))) in y
1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) in y
1.092 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 5) in y
1.092 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.092 * [taylor]: Taking taylor expansion of y in y
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.092 * [taylor]: Taking taylor expansion of z in y
1.092 * [backup-simplify]: Simplify z into z
1.092 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.092 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.092 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.092 * [backup-simplify]: Simplify (* (pow z 4) (pow z 4)) into (pow z 8)
1.093 * [backup-simplify]: Simplify (* (pow z 2) (pow z 8)) into (pow z 10)
1.093 * [backup-simplify]: Simplify (/ 1 (pow z 10)) into (/ 1 (pow z 10))
1.093 * [backup-simplify]: Simplify (log (/ 1 (pow z 10))) into (log (/ 1 (pow z 10)))
1.093 * [backup-simplify]: Simplify (* 1/6 (log (/ 1 (pow z 10)))) into (* 1/6 (log (/ 1 (pow z 10))))
1.093 * [backup-simplify]: Simplify (exp (* 1/6 (log (/ 1 (pow z 10))))) into (pow (/ 1 (pow z 10)) 1/6)
1.093 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 10)) 1/6)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.093 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) in z
1.093 * [taylor]: Taking taylor expansion of 1/6 in z
1.093 * [backup-simplify]: Simplify 1/6 into 1/6
1.093 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow z 5)) 1/3) in z
1.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow z 5))))) in z
1.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow z 5)))) in z
1.094 * [taylor]: Taking taylor expansion of 1/3 in z
1.094 * [backup-simplify]: Simplify 1/3 into 1/3
1.094 * [taylor]: Taking taylor expansion of (log (/ 1 (pow z 5))) in z
1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 5)) in z
1.094 * [taylor]: Taking taylor expansion of (pow z 5) in z
1.094 * [taylor]: Taking taylor expansion of z in z
1.094 * [backup-simplify]: Simplify 0 into 0
1.094 * [backup-simplify]: Simplify 1 into 1
1.094 * [backup-simplify]: Simplify (* 1 1) into 1
1.094 * [backup-simplify]: Simplify (* 1 1) into 1
1.095 * [backup-simplify]: Simplify (* 1 1) into 1
1.095 * [backup-simplify]: Simplify (/ 1 1) into 1
1.095 * [backup-simplify]: Simplify (log 1) into 0
1.096 * [backup-simplify]: Simplify (+ (* (- 5) (log z)) 0) into (- (* 5 (log z)))
1.096 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log z)))) into (* -5/3 (log z))
1.096 * [backup-simplify]: Simplify (exp (* -5/3 (log z))) into (pow z -5/3)
1.096 * [backup-simplify]: Simplify (* 1/6 (pow z -5/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.096 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.096 * [taylor]: Taking taylor expansion of 0 in z
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.097 * [backup-simplify]: Simplify (* 1 1) into 1
1.097 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.097 * [backup-simplify]: Simplify (+ 1 0) into 1
1.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow z 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow z 2) 1)))) 2) into (/ 1 (pow z 2))
1.099 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/6 (/ 1 (pow z 2)))
1.100 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow z 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow z 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.100 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) in z
1.100 * [taylor]: Taking taylor expansion of 1/6 in z
1.100 * [backup-simplify]: Simplify 1/6 into 1/6
1.100 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow z 5)) 1/3) in z
1.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow z 5))))) in z
1.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow z 5)))) in z
1.100 * [taylor]: Taking taylor expansion of 1/3 in z
1.100 * [backup-simplify]: Simplify 1/3 into 1/3
1.101 * [taylor]: Taking taylor expansion of (log (/ 1 (pow z 5))) in z
1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 5)) in z
1.101 * [taylor]: Taking taylor expansion of (pow z 5) in z
1.101 * [taylor]: Taking taylor expansion of z in z
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 1 into 1
1.101 * [backup-simplify]: Simplify (* 1 1) into 1
1.101 * [backup-simplify]: Simplify (* 1 1) into 1
1.101 * [backup-simplify]: Simplify (* 1 1) into 1
1.102 * [backup-simplify]: Simplify (/ 1 1) into 1
1.102 * [backup-simplify]: Simplify (log 1) into 0
1.102 * [backup-simplify]: Simplify (+ (* (- 5) (log z)) 0) into (- (* 5 (log z)))
1.103 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log z)))) into (* -5/3 (log z))
1.103 * [backup-simplify]: Simplify (exp (* -5/3 (log z))) into (pow z -5/3)
1.103 * [backup-simplify]: Simplify (* 1/6 (pow z -5/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.103 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
1.104 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) (pow (* 1 (* y 1)) 2)) (+ (* (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) (pow (* 1 (* 1 x)) 2)) (pow z 1/3))) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow z 5)) 1/3))) (+ (* 1/6 (* (pow (/ 1 (pow z 5)) 1/3) (pow y 2))) (pow z 1/3)))
1.104 * [backup-simplify]: Simplify (cbrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
1.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (x y z) around 0
1.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
1.105 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
1.105 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
1.105 * [taylor]: Taking taylor expansion of 1/6 in z
1.105 * [backup-simplify]: Simplify 1/6 into 1/6
1.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.105 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.105 * [taylor]: Taking taylor expansion of x in z
1.105 * [backup-simplify]: Simplify x into x
1.105 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.105 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.105 * [taylor]: Taking taylor expansion of z in z
1.105 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify 1 into 1
1.105 * [backup-simplify]: Simplify (* 1 1) into 1
1.106 * [backup-simplify]: Simplify (/ 1 1) into 1
1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.106 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.106 * [taylor]: Taking taylor expansion of y in z
1.106 * [backup-simplify]: Simplify y into y
1.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.106 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.106 * [backup-simplify]: Simplify (+ 1 0) into 1
1.107 * [backup-simplify]: Simplify (+ 0 1) into 1
1.107 * [backup-simplify]: Simplify (log 1) into 0
1.108 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
1.108 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
1.108 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
1.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
1.108 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
1.108 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
1.108 * [taylor]: Taking taylor expansion of 1/6 in y
1.108 * [backup-simplify]: Simplify 1/6 into 1/6
1.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.108 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.108 * [taylor]: Taking taylor expansion of x in y
1.108 * [backup-simplify]: Simplify x into x
1.108 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.108 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.108 * [taylor]: Taking taylor expansion of z in y
1.108 * [backup-simplify]: Simplify z into z
1.108 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.109 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.109 * [taylor]: Taking taylor expansion of y in y
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.109 * [backup-simplify]: Simplify (* 1 1) into 1
1.109 * [backup-simplify]: Simplify (/ 1 1) into 1
1.110 * [backup-simplify]: Simplify (+ 0 1) into 1
1.110 * [backup-simplify]: Simplify (+ 0 1) into 1
1.110 * [backup-simplify]: Simplify (log 1) into 0
1.111 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
1.111 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
1.111 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
1.111 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
1.111 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
1.111 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
1.111 * [taylor]: Taking taylor expansion of 1/6 in x
1.111 * [backup-simplify]: Simplify 1/6 into 1/6
1.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.111 * [taylor]: Taking taylor expansion of x in x
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify 1 into 1
1.111 * [backup-simplify]: Simplify (* 1 1) into 1
1.112 * [backup-simplify]: Simplify (/ 1 1) into 1
1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.112 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.112 * [taylor]: Taking taylor expansion of z in x
1.112 * [backup-simplify]: Simplify z into z
1.112 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.112 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.112 * [taylor]: Taking taylor expansion of y in x
1.112 * [backup-simplify]: Simplify y into y
1.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.113 * [backup-simplify]: Simplify (+ 1 0) into 1
1.113 * [backup-simplify]: Simplify (log 1) into 0
1.113 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.113 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
1.114 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.114 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
1.114 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
1.114 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
1.114 * [taylor]: Taking taylor expansion of 1/6 in x
1.114 * [backup-simplify]: Simplify 1/6 into 1/6
1.114 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.114 * [taylor]: Taking taylor expansion of x in x
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 1 into 1
1.114 * [backup-simplify]: Simplify (* 1 1) into 1
1.114 * [backup-simplify]: Simplify (/ 1 1) into 1
1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.115 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.115 * [taylor]: Taking taylor expansion of z in x
1.115 * [backup-simplify]: Simplify z into z
1.115 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.115 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.115 * [taylor]: Taking taylor expansion of y in x
1.115 * [backup-simplify]: Simplify y into y
1.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.115 * [backup-simplify]: Simplify (+ 1 0) into 1
1.116 * [backup-simplify]: Simplify (log 1) into 0
1.116 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.116 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
1.116 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.116 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
1.116 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
1.116 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
1.116 * [taylor]: Taking taylor expansion of -1/3 in y
1.116 * [backup-simplify]: Simplify -1/3 into -1/3
1.116 * [taylor]: Taking taylor expansion of (log x) in y
1.116 * [taylor]: Taking taylor expansion of x in y
1.116 * [backup-simplify]: Simplify x into x
1.117 * [backup-simplify]: Simplify (log x) into (log x)
1.117 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
1.117 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.117 * [taylor]: Taking taylor expansion of (pow x -1/3) in z
1.117 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in z
1.117 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in z
1.117 * [taylor]: Taking taylor expansion of -1/3 in z
1.117 * [backup-simplify]: Simplify -1/3 into -1/3
1.117 * [taylor]: Taking taylor expansion of (log x) in z
1.117 * [taylor]: Taking taylor expansion of x in z
1.117 * [backup-simplify]: Simplify x into x
1.117 * [backup-simplify]: Simplify (log x) into (log x)
1.117 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
1.117 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.117 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
1.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.119 * [backup-simplify]: Simplify (+ 0 0) into 0
1.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.120 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.120 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
1.121 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.121 * [taylor]: Taking taylor expansion of 0 in y
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [taylor]: Taking taylor expansion of 0 in z
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.122 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
1.123 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.123 * [taylor]: Taking taylor expansion of 0 in z
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 0 into 0
1.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.124 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
1.125 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.125 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.126 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.126 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
1.128 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.129 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))
1.129 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))))
1.129 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))) in y
1.129 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
1.130 * [taylor]: Taking taylor expansion of 1/3 in y
1.130 * [backup-simplify]: Simplify 1/3 into 1/3
1.130 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.130 * [taylor]: Taking taylor expansion of x in y
1.130 * [backup-simplify]: Simplify x into x
1.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.130 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
1.130 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
1.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
1.130 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) in y
1.130 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow z 2))) in y
1.130 * [taylor]: Taking taylor expansion of 1/6 in y
1.130 * [backup-simplify]: Simplify 1/6 into 1/6
1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.130 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.130 * [taylor]: Taking taylor expansion of z in y
1.130 * [backup-simplify]: Simplify z into z
1.130 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.130 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.130 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
1.130 * [taylor]: Taking taylor expansion of 1/6 in y
1.130 * [backup-simplify]: Simplify 1/6 into 1/6
1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.130 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.130 * [taylor]: Taking taylor expansion of y in y
1.130 * [backup-simplify]: Simplify 0 into 0
1.130 * [backup-simplify]: Simplify 1 into 1
1.131 * [backup-simplify]: Simplify (* 1 1) into 1
1.131 * [backup-simplify]: Simplify (/ 1 1) into 1
1.131 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow z 2))) into (/ 1/6 (pow z 2))
1.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.134 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
1.134 * [backup-simplify]: Simplify (+ (/ 1/6 (pow z 2)) 0) into (* 1/6 (/ 1 (pow z 2)))
1.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
1.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
1.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.136 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
1.137 * [backup-simplify]: Simplify (+ 0 0) into 0
1.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
1.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
1.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.140 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
1.141 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
1.141 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) (* 1/6 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/6))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))))
1.142 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2)))) in z
1.142 * [taylor]: Taking taylor expansion of 1/6 in z
1.142 * [backup-simplify]: Simplify 1/6 into 1/6
1.142 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))) in z
1.142 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in z
1.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in z
1.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in z
1.142 * [taylor]: Taking taylor expansion of 1/3 in z
1.142 * [backup-simplify]: Simplify 1/3 into 1/3
1.142 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in z
1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.142 * [taylor]: Taking taylor expansion of x in z
1.142 * [backup-simplify]: Simplify x into x
1.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.142 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
1.142 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
1.142 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.142 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.142 * [taylor]: Taking taylor expansion of z in z
1.142 * [backup-simplify]: Simplify 0 into 0
1.142 * [backup-simplify]: Simplify 1 into 1
1.142 * [backup-simplify]: Simplify (* 1 1) into 1
1.143 * [backup-simplify]: Simplify (/ 1 1) into 1
1.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
1.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
1.147 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
1.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
1.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.151 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
1.152 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
1.152 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
1.152 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
1.152 * [backup-simplify]: Simplify 0 into 0
1.153 * [taylor]: Taking taylor expansion of 0 in z
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 0 into 0
1.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
1.155 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
1.156 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.156 * [taylor]: Taking taylor expansion of 0 in z
1.156 * [backup-simplify]: Simplify 0 into 0
1.156 * [backup-simplify]: Simplify 0 into 0
1.156 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3)
1.156 * [backup-simplify]: Simplify (cbrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
1.156 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (x y z) around 0
1.156 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
1.157 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
1.157 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
1.157 * [taylor]: Taking taylor expansion of 1/6 in z
1.157 * [backup-simplify]: Simplify 1/6 into 1/6
1.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.157 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.157 * [taylor]: Taking taylor expansion of x in z
1.157 * [backup-simplify]: Simplify x into x
1.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.157 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.157 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.157 * [taylor]: Taking taylor expansion of z in z
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 1 into 1
1.157 * [backup-simplify]: Simplify (* 1 1) into 1
1.158 * [backup-simplify]: Simplify (/ 1 1) into 1
1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.158 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.158 * [taylor]: Taking taylor expansion of y in z
1.158 * [backup-simplify]: Simplify y into y
1.158 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.158 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.158 * [backup-simplify]: Simplify (+ 1 0) into 1
1.159 * [backup-simplify]: Simplify (+ 0 1) into 1
1.159 * [backup-simplify]: Simplify (log 1) into 0
1.159 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
1.159 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
1.160 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
1.160 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
1.160 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
1.160 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
1.160 * [taylor]: Taking taylor expansion of 1/6 in y
1.160 * [backup-simplify]: Simplify 1/6 into 1/6
1.160 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.160 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.160 * [taylor]: Taking taylor expansion of x in y
1.160 * [backup-simplify]: Simplify x into x
1.160 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.160 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.160 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.160 * [taylor]: Taking taylor expansion of z in y
1.160 * [backup-simplify]: Simplify z into z
1.160 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.160 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.160 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.160 * [taylor]: Taking taylor expansion of y in y
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify 1 into 1
1.161 * [backup-simplify]: Simplify (* 1 1) into 1
1.161 * [backup-simplify]: Simplify (/ 1 1) into 1
1.161 * [backup-simplify]: Simplify (+ 0 1) into 1
1.162 * [backup-simplify]: Simplify (+ 0 1) into 1
1.162 * [backup-simplify]: Simplify (log 1) into 0
1.162 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
1.162 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
1.163 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
1.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
1.163 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
1.163 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
1.163 * [taylor]: Taking taylor expansion of 1/6 in x
1.163 * [backup-simplify]: Simplify 1/6 into 1/6
1.163 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.163 * [taylor]: Taking taylor expansion of x in x
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify 1 into 1
1.163 * [backup-simplify]: Simplify (* 1 1) into 1
1.163 * [backup-simplify]: Simplify (/ 1 1) into 1
1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.164 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.164 * [taylor]: Taking taylor expansion of z in x
1.164 * [backup-simplify]: Simplify z into z
1.164 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.164 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.164 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.164 * [taylor]: Taking taylor expansion of y in x
1.164 * [backup-simplify]: Simplify y into y
1.164 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.164 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.164 * [backup-simplify]: Simplify (+ 1 0) into 1
1.165 * [backup-simplify]: Simplify (log 1) into 0
1.165 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.165 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
1.165 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.165 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
1.165 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
1.165 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
1.165 * [taylor]: Taking taylor expansion of 1/6 in x
1.165 * [backup-simplify]: Simplify 1/6 into 1/6
1.165 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.166 * [taylor]: Taking taylor expansion of x in x
1.166 * [backup-simplify]: Simplify 0 into 0
1.166 * [backup-simplify]: Simplify 1 into 1
1.166 * [backup-simplify]: Simplify (* 1 1) into 1
1.166 * [backup-simplify]: Simplify (/ 1 1) into 1
1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.166 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.166 * [taylor]: Taking taylor expansion of z in x
1.166 * [backup-simplify]: Simplify z into z
1.166 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.167 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.167 * [taylor]: Taking taylor expansion of y in x
1.167 * [backup-simplify]: Simplify y into y
1.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.167 * [backup-simplify]: Simplify (+ 1 0) into 1
1.168 * [backup-simplify]: Simplify (log 1) into 0
1.168 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.168 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
1.168 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.168 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
1.168 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
1.168 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
1.168 * [taylor]: Taking taylor expansion of -1/3 in y
1.168 * [backup-simplify]: Simplify -1/3 into -1/3
1.168 * [taylor]: Taking taylor expansion of (log x) in y
1.168 * [taylor]: Taking taylor expansion of x in y
1.168 * [backup-simplify]: Simplify x into x
1.169 * [backup-simplify]: Simplify (log x) into (log x)
1.169 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
1.169 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.169 * [taylor]: Taking taylor expansion of (pow x -1/3) in z
1.169 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in z
1.169 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in z
1.169 * [taylor]: Taking taylor expansion of -1/3 in z
1.169 * [backup-simplify]: Simplify -1/3 into -1/3
1.169 * [taylor]: Taking taylor expansion of (log x) in z
1.169 * [taylor]: Taking taylor expansion of x in z
1.169 * [backup-simplify]: Simplify x into x
1.169 * [backup-simplify]: Simplify (log x) into (log x)
1.169 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
1.169 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
1.169 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
1.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.171 * [backup-simplify]: Simplify (+ 0 0) into 0
1.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.172 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.172 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
1.173 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.173 * [taylor]: Taking taylor expansion of 0 in y
1.173 * [backup-simplify]: Simplify 0 into 0
1.173 * [taylor]: Taking taylor expansion of 0 in z
1.173 * [backup-simplify]: Simplify 0 into 0
1.173 * [backup-simplify]: Simplify 0 into 0
1.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.174 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
1.175 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.175 * [taylor]: Taking taylor expansion of 0 in z
1.175 * [backup-simplify]: Simplify 0 into 0
1.175 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.176 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
1.177 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.178 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.179 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
1.181 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.182 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))
1.183 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))))
1.183 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))) in y
1.183 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
1.183 * [taylor]: Taking taylor expansion of 1/3 in y
1.183 * [backup-simplify]: Simplify 1/3 into 1/3
1.183 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.183 * [taylor]: Taking taylor expansion of x in y
1.183 * [backup-simplify]: Simplify x into x
1.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.183 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
1.183 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
1.183 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
1.183 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) in y
1.183 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow z 2))) in y
1.183 * [taylor]: Taking taylor expansion of 1/6 in y
1.183 * [backup-simplify]: Simplify 1/6 into 1/6
1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.183 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.184 * [taylor]: Taking taylor expansion of z in y
1.184 * [backup-simplify]: Simplify z into z
1.184 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.184 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.184 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
1.184 * [taylor]: Taking taylor expansion of 1/6 in y
1.184 * [backup-simplify]: Simplify 1/6 into 1/6
1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.184 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.184 * [taylor]: Taking taylor expansion of y in y
1.184 * [backup-simplify]: Simplify 0 into 0
1.184 * [backup-simplify]: Simplify 1 into 1
1.190 * [backup-simplify]: Simplify (* 1 1) into 1
1.190 * [backup-simplify]: Simplify (/ 1 1) into 1
1.191 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow z 2))) into (/ 1/6 (pow z 2))
1.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.194 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
1.194 * [backup-simplify]: Simplify (+ (/ 1/6 (pow z 2)) 0) into (* 1/6 (/ 1 (pow z 2)))
1.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
1.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
1.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.196 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
1.197 * [backup-simplify]: Simplify (+ 0 0) into 0
1.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
1.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
1.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.200 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
1.201 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
1.202 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) (* 1/6 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/6))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))))
1.202 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2)))) in z
1.202 * [taylor]: Taking taylor expansion of 1/6 in z
1.202 * [backup-simplify]: Simplify 1/6 into 1/6
1.202 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))) in z
1.202 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in z
1.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in z
1.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in z
1.202 * [taylor]: Taking taylor expansion of 1/3 in z
1.202 * [backup-simplify]: Simplify 1/3 into 1/3
1.202 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in z
1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.202 * [taylor]: Taking taylor expansion of x in z
1.202 * [backup-simplify]: Simplify x into x
1.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.202 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
1.202 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
1.202 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.202 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.202 * [taylor]: Taking taylor expansion of z in z
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [backup-simplify]: Simplify 1 into 1
1.203 * [backup-simplify]: Simplify (* 1 1) into 1
1.203 * [backup-simplify]: Simplify (/ 1 1) into 1
1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
1.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
1.207 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
1.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
1.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.211 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
1.212 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
1.212 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
1.213 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [taylor]: Taking taylor expansion of 0 in z
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
1.215 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
1.216 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.216 * [taylor]: Taking taylor expansion of 0 in z
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3)
1.216 * * * [progress]: simplifying candidates
1.218 * [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))))
  (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))))
  (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))))
  (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (exp (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt 1))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt 1)
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))
  (cbrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))
  (cbrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))
  (cbrt (sqrt (- (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (cbrt (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 (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow z 5)) 1/3))) (+ (* 1/6 (* (pow (/ 1 (pow z 5)) 1/3) (pow y 2))) (pow z 1/3)))
  (pow (/ 1 x) -1/3)
  (pow (/ -1 x) -1/3)
1.219 * [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))))
 (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))))
 (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))))
 (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (exp (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (cbrt (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt 1))
 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt 1)
 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (cbrt (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))))
 (cbrt (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (cbrt (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))))
 (cbrt (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (cbrt (cbrt (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 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 h0
 h2
 (* -1 h2)
 h0
 h2
 (* -1 h2)
 h0
 h2
 (* -1 h2)
 (+ (* (/ 1 6) (* (pow h2 2) (pow (/ 1 (pow h0 5)) (/ 1 3)))) (+ (* (/ 1 6) (* (pow (/ 1 (pow h0 5)) (/ 1 3)) (pow h1 2))) (pow h0 (/ 1 3))))
 (pow (/ 1 h2) (/ -1 3))
 (pow (/ -1 h2) (/ -1 3))
1.265 * * * [progress]: adding candidates to table
1.536 * * [progress]: iteration 3 / 4
1.536 * * * [progress]: picking best candidate
1.548 * * * * [pick]: Picked  #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))>
1.549 * * * [progress]: localizing error
1.570 * * * [progress]: generating rewritten candidates
1.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
1.609 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
1.655 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
1.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.727 * * * [progress]: generating series expansions
1.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
1.727 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.727 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.727 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.727 * [taylor]: Taking taylor expansion of x in z
1.727 * [backup-simplify]: Simplify x into x
1.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.727 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.727 * [taylor]: Taking taylor expansion of y in z
1.727 * [backup-simplify]: Simplify y into y
1.727 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.727 * [taylor]: Taking taylor expansion of z in z
1.727 * [backup-simplify]: Simplify 0 into 0
1.727 * [backup-simplify]: Simplify 1 into 1
1.727 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.728 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.728 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.728 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.728 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.728 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.729 * [backup-simplify]: Simplify (+ 0 0) into 0
1.729 * [backup-simplify]: Simplify (+ 0 0) into 0
1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.729 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.729 * [taylor]: Taking taylor expansion of x in y
1.729 * [backup-simplify]: Simplify x into x
1.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.729 * [taylor]: Taking taylor expansion of y in y
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.729 * [taylor]: Taking taylor expansion of z in y
1.729 * [backup-simplify]: Simplify z into z
1.729 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.729 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.730 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.730 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.730 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.730 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.730 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.730 * [backup-simplify]: Simplify (+ 0 0) into 0
1.731 * [backup-simplify]: Simplify (+ 0 0) into 0
1.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.731 * [taylor]: Taking taylor expansion of x in x
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.731 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.731 * [taylor]: Taking taylor expansion of y in x
1.731 * [backup-simplify]: Simplify y into y
1.731 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.731 * [taylor]: Taking taylor expansion of z in x
1.731 * [backup-simplify]: Simplify z into z
1.731 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.731 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.731 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.731 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.732 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.732 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.732 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.732 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.732 * [taylor]: Taking taylor expansion of x in x
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.732 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.732 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.733 * [taylor]: Taking taylor expansion of y in x
1.733 * [backup-simplify]: Simplify y into y
1.733 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.733 * [taylor]: Taking taylor expansion of z in x
1.733 * [backup-simplify]: Simplify z into z
1.733 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.733 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.733 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.733 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.733 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.733 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.734 * [backup-simplify]: Simplify (+ 0 0) into 0
1.734 * [backup-simplify]: Simplify (+ 0 0) into 0
1.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.734 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.734 * [taylor]: Taking taylor expansion of y in y
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.734 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.734 * [taylor]: Taking taylor expansion of z in y
1.734 * [backup-simplify]: Simplify z into z
1.734 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.735 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.735 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.735 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.735 * [backup-simplify]: Simplify (+ 0 0) into 0
1.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.735 * [taylor]: Taking taylor expansion of z in z
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 1 into 1
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [taylor]: Taking taylor expansion of 0 in y
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [taylor]: Taking taylor expansion of 0 in z
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [taylor]: Taking taylor expansion of 0 in z
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 1 into 1
1.736 * [backup-simplify]: Simplify (* 1 1) into 1
1.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.736 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.737 * [backup-simplify]: Simplify (+ 1 0) into 1
1.737 * [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)))))
1.737 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.737 * [taylor]: Taking taylor expansion of 1/2 in y
1.737 * [backup-simplify]: Simplify 1/2 into 1/2
1.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.737 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.737 * [taylor]: Taking taylor expansion of y in y
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.738 * [taylor]: Taking taylor expansion of z in y
1.738 * [backup-simplify]: Simplify z into z
1.738 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.738 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.738 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.738 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.738 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.738 * [backup-simplify]: Simplify (+ 0 0) into 0
1.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.739 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.739 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.739 * [taylor]: Taking taylor expansion of 1/2 in z
1.739 * [backup-simplify]: Simplify 1/2 into 1/2
1.739 * [taylor]: Taking taylor expansion of z in z
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.740 * [taylor]: Taking taylor expansion of 0 in z
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify (* 1 1) into 1
1.740 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.740 * [backup-simplify]: Simplify (+ 1 0) into 1
1.741 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.741 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.741 * [taylor]: Taking taylor expansion of 1/2 in z
1.741 * [backup-simplify]: Simplify 1/2 into 1/2
1.741 * [taylor]: Taking taylor expansion of z in z
1.741 * [backup-simplify]: Simplify 0 into 0
1.741 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.742 * [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)))))
1.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.742 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.742 * [taylor]: Taking taylor expansion of x in z
1.742 * [backup-simplify]: Simplify x into x
1.742 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.743 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.743 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.743 * [taylor]: Taking taylor expansion of z in z
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [backup-simplify]: Simplify (* 1 1) into 1
1.743 * [backup-simplify]: Simplify (/ 1 1) into 1
1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.743 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.743 * [taylor]: Taking taylor expansion of y in z
1.743 * [backup-simplify]: Simplify y into y
1.743 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.743 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.744 * [backup-simplify]: Simplify (+ 1 0) into 1
1.744 * [backup-simplify]: Simplify (+ 0 1) into 1
1.744 * [backup-simplify]: Simplify (sqrt 1) into 1
1.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.745 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.746 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.746 * [taylor]: Taking taylor expansion of x in y
1.746 * [backup-simplify]: Simplify x into x
1.746 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.747 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.747 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.747 * [taylor]: Taking taylor expansion of z in y
1.747 * [backup-simplify]: Simplify z into z
1.747 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.747 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.747 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.747 * [taylor]: Taking taylor expansion of y in y
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify 1 into 1
1.747 * [backup-simplify]: Simplify (* 1 1) into 1
1.748 * [backup-simplify]: Simplify (/ 1 1) into 1
1.748 * [backup-simplify]: Simplify (+ 0 1) into 1
1.748 * [backup-simplify]: Simplify (+ 0 1) into 1
1.749 * [backup-simplify]: Simplify (sqrt 1) into 1
1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.750 * [backup-simplify]: Simplify (+ 0 0) into 0
1.750 * [backup-simplify]: Simplify (+ 0 0) into 0
1.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.751 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.751 * [taylor]: Taking taylor expansion of x in x
1.751 * [backup-simplify]: Simplify 0 into 0
1.751 * [backup-simplify]: Simplify 1 into 1
1.751 * [backup-simplify]: Simplify (* 1 1) into 1
1.752 * [backup-simplify]: Simplify (/ 1 1) into 1
1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.752 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.752 * [taylor]: Taking taylor expansion of z in x
1.752 * [backup-simplify]: Simplify z into z
1.752 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.752 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.752 * [taylor]: Taking taylor expansion of y in x
1.752 * [backup-simplify]: Simplify y into y
1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.752 * [backup-simplify]: Simplify (+ 1 0) into 1
1.753 * [backup-simplify]: Simplify (sqrt 1) into 1
1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.754 * [backup-simplify]: Simplify (+ 0 0) into 0
1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.754 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.754 * [taylor]: Taking taylor expansion of x in x
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.755 * [backup-simplify]: Simplify (* 1 1) into 1
1.755 * [backup-simplify]: Simplify (/ 1 1) into 1
1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.755 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.755 * [taylor]: Taking taylor expansion of z in x
1.755 * [backup-simplify]: Simplify z into z
1.755 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.755 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.755 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.755 * [taylor]: Taking taylor expansion of y in x
1.755 * [backup-simplify]: Simplify y into y
1.755 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.755 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.755 * [backup-simplify]: Simplify (+ 1 0) into 1
1.756 * [backup-simplify]: Simplify (sqrt 1) into 1
1.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.757 * [taylor]: Taking taylor expansion of 1 in y
1.757 * [backup-simplify]: Simplify 1 into 1
1.757 * [taylor]: Taking taylor expansion of 0 in y
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [taylor]: Taking taylor expansion of 1 in z
1.757 * [backup-simplify]: Simplify 1 into 1
1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.759 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.759 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.760 * [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))))
1.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.760 * [taylor]: Taking taylor expansion of 1/2 in y
1.760 * [backup-simplify]: Simplify 1/2 into 1/2
1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.760 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.760 * [taylor]: Taking taylor expansion of z in y
1.760 * [backup-simplify]: Simplify z into z
1.760 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.760 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.760 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.760 * [taylor]: Taking taylor expansion of y in y
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [backup-simplify]: Simplify (* 1 1) into 1
1.761 * [backup-simplify]: Simplify (/ 1 1) into 1
1.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.762 * [backup-simplify]: Simplify (+ 0 1) into 1
1.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.762 * [taylor]: Taking taylor expansion of 0 in z
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [taylor]: Taking taylor expansion of 0 in z
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [taylor]: Taking taylor expansion of 0 in z
1.762 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.764 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.764 * [backup-simplify]: Simplify (+ 0 0) into 0
1.765 * [backup-simplify]: Simplify (+ 0 0) into 0
1.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.765 * [taylor]: Taking taylor expansion of 0 in y
1.765 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.766 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.767 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.767 * [taylor]: Taking taylor expansion of 1/2 in z
1.767 * [backup-simplify]: Simplify 1/2 into 1/2
1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.767 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.767 * [taylor]: Taking taylor expansion of z in z
1.767 * [backup-simplify]: Simplify 0 into 0
1.767 * [backup-simplify]: Simplify 1 into 1
1.767 * [backup-simplify]: Simplify (* 1 1) into 1
1.767 * [backup-simplify]: Simplify (/ 1 1) into 1
1.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [taylor]: Taking taylor expansion of 0 in z
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [taylor]: Taking taylor expansion of 0 in z
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.770 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.771 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.772 * [backup-simplify]: Simplify (+ 0 0) into 0
1.773 * [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))))))
1.773 * [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
1.773 * [taylor]: Taking taylor expansion of -1/2 in y
1.773 * [backup-simplify]: Simplify -1/2 into -1/2
1.773 * [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
1.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.773 * [taylor]: Taking taylor expansion of 1/4 in y
1.773 * [backup-simplify]: Simplify 1/4 into 1/4
1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.773 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.773 * [taylor]: Taking taylor expansion of z in y
1.773 * [backup-simplify]: Simplify z into z
1.773 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.773 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.773 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.773 * [taylor]: Taking taylor expansion of 1/2 in y
1.773 * [backup-simplify]: Simplify 1/2 into 1/2
1.773 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.773 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.773 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.773 * [taylor]: Taking taylor expansion of z in y
1.773 * [backup-simplify]: Simplify z into z
1.773 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.773 * [taylor]: Taking taylor expansion of y in y
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.774 * [backup-simplify]: Simplify (* 1 1) into 1
1.774 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.774 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.774 * [taylor]: Taking taylor expansion of 1/4 in y
1.774 * [backup-simplify]: Simplify 1/4 into 1/4
1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.774 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.774 * [taylor]: Taking taylor expansion of y in y
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify 1 into 1
1.774 * [backup-simplify]: Simplify (* 1 1) into 1
1.774 * [backup-simplify]: Simplify (* 1 1) into 1
1.775 * [backup-simplify]: Simplify (/ 1 1) into 1
1.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.775 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.776 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.782 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.783 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.784 * [backup-simplify]: Simplify (+ 0 0) into 0
1.784 * [backup-simplify]: Simplify (+ 0 0) into 0
1.785 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.785 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.786 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.787 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.787 * [taylor]: Taking taylor expansion of 0 in z
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in z
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.790 * [taylor]: Taking taylor expansion of 0 in z
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [taylor]: Taking taylor expansion of 0 in z
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [taylor]: Taking taylor expansion of 0 in z
1.790 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.793 * [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)))))
1.793 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.793 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.793 * [taylor]: Taking taylor expansion of x in z
1.793 * [backup-simplify]: Simplify x into x
1.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.793 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.793 * [taylor]: Taking taylor expansion of z in z
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (* 1 1) into 1
1.798 * [backup-simplify]: Simplify (/ 1 1) into 1
1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.798 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.798 * [taylor]: Taking taylor expansion of y in z
1.798 * [backup-simplify]: Simplify y into y
1.798 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.799 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.799 * [backup-simplify]: Simplify (+ 1 0) into 1
1.799 * [backup-simplify]: Simplify (+ 0 1) into 1
1.799 * [backup-simplify]: Simplify (sqrt 1) into 1
1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.800 * [backup-simplify]: Simplify (+ 0 0) into 0
1.801 * [backup-simplify]: Simplify (+ 0 0) into 0
1.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.801 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.801 * [taylor]: Taking taylor expansion of x in y
1.801 * [backup-simplify]: Simplify x into x
1.801 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.802 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.802 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.802 * [taylor]: Taking taylor expansion of z in y
1.802 * [backup-simplify]: Simplify z into z
1.802 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.802 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.802 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.802 * [taylor]: Taking taylor expansion of y in y
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (* 1 1) into 1
1.803 * [backup-simplify]: Simplify (/ 1 1) into 1
1.803 * [backup-simplify]: Simplify (+ 0 1) into 1
1.803 * [backup-simplify]: Simplify (+ 0 1) into 1
1.804 * [backup-simplify]: Simplify (sqrt 1) into 1
1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.805 * [backup-simplify]: Simplify (+ 0 0) into 0
1.805 * [backup-simplify]: Simplify (+ 0 0) into 0
1.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.806 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.806 * [taylor]: Taking taylor expansion of x in x
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (* 1 1) into 1
1.807 * [backup-simplify]: Simplify (/ 1 1) into 1
1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.807 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.807 * [taylor]: Taking taylor expansion of z in x
1.807 * [backup-simplify]: Simplify z into z
1.807 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.807 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.807 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.807 * [taylor]: Taking taylor expansion of y in x
1.807 * [backup-simplify]: Simplify y into y
1.807 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.807 * [backup-simplify]: Simplify (+ 1 0) into 1
1.808 * [backup-simplify]: Simplify (sqrt 1) into 1
1.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.810 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.810 * [taylor]: Taking taylor expansion of x in x
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [backup-simplify]: Simplify (* 1 1) into 1
1.810 * [backup-simplify]: Simplify (/ 1 1) into 1
1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.810 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.810 * [taylor]: Taking taylor expansion of z in x
1.810 * [backup-simplify]: Simplify z into z
1.810 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.810 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.810 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.810 * [taylor]: Taking taylor expansion of y in x
1.810 * [backup-simplify]: Simplify y into y
1.811 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.811 * [backup-simplify]: Simplify (+ 1 0) into 1
1.811 * [backup-simplify]: Simplify (sqrt 1) into 1
1.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.813 * [taylor]: Taking taylor expansion of 1 in y
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [taylor]: Taking taylor expansion of 0 in y
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [taylor]: Taking taylor expansion of 1 in z
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.814 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.814 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.815 * [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))))
1.815 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.815 * [taylor]: Taking taylor expansion of 1/2 in y
1.815 * [backup-simplify]: Simplify 1/2 into 1/2
1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.815 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.815 * [taylor]: Taking taylor expansion of z in y
1.815 * [backup-simplify]: Simplify z into z
1.815 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.815 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.815 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.815 * [taylor]: Taking taylor expansion of y in y
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 1 into 1
1.816 * [backup-simplify]: Simplify (* 1 1) into 1
1.816 * [backup-simplify]: Simplify (/ 1 1) into 1
1.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.817 * [backup-simplify]: Simplify (+ 0 1) into 1
1.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.818 * [taylor]: Taking taylor expansion of 0 in z
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [taylor]: Taking taylor expansion of 0 in z
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [taylor]: Taking taylor expansion of 0 in z
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 1 into 1
1.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.819 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.819 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.820 * [taylor]: Taking taylor expansion of 0 in y
1.820 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.822 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.822 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.822 * [taylor]: Taking taylor expansion of 1/2 in z
1.822 * [backup-simplify]: Simplify 1/2 into 1/2
1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.822 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.822 * [taylor]: Taking taylor expansion of z in z
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (* 1 1) into 1
1.823 * [backup-simplify]: Simplify (/ 1 1) into 1
1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [taylor]: Taking taylor expansion of 0 in z
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [taylor]: Taking taylor expansion of 0 in z
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.826 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.826 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.828 * [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))))))
1.828 * [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
1.828 * [taylor]: Taking taylor expansion of -1/2 in y
1.828 * [backup-simplify]: Simplify -1/2 into -1/2
1.828 * [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
1.828 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.828 * [taylor]: Taking taylor expansion of 1/4 in y
1.828 * [backup-simplify]: Simplify 1/4 into 1/4
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.828 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.828 * [taylor]: Taking taylor expansion of z in y
1.828 * [backup-simplify]: Simplify z into z
1.828 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.828 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.828 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.828 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.828 * [taylor]: Taking taylor expansion of 1/2 in y
1.828 * [backup-simplify]: Simplify 1/2 into 1/2
1.828 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.828 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.829 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.829 * [taylor]: Taking taylor expansion of z in y
1.829 * [backup-simplify]: Simplify z into z
1.829 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.829 * [taylor]: Taking taylor expansion of y in y
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 1 into 1
1.829 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.829 * [backup-simplify]: Simplify (* 1 1) into 1
1.829 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.829 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.829 * [taylor]: Taking taylor expansion of 1/4 in y
1.829 * [backup-simplify]: Simplify 1/4 into 1/4
1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.829 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.829 * [taylor]: Taking taylor expansion of y in y
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 1 into 1
1.829 * [backup-simplify]: Simplify (* 1 1) into 1
1.830 * [backup-simplify]: Simplify (* 1 1) into 1
1.830 * [backup-simplify]: Simplify (/ 1 1) into 1
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.830 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.831 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.837 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.838 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.838 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.838 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.839 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.840 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.840 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.840 * [taylor]: Taking taylor expansion of 0 in z
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [taylor]: Taking taylor expansion of 0 in z
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ 0 0) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.843 * [taylor]: Taking taylor expansion of 0 in z
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [taylor]: Taking taylor expansion of 0 in z
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [taylor]: Taking taylor expansion of 0 in z
1.843 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.846 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
1.846 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.846 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.846 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.846 * [taylor]: Taking taylor expansion of x in z
1.846 * [backup-simplify]: Simplify x into x
1.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.846 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.846 * [taylor]: Taking taylor expansion of y in z
1.846 * [backup-simplify]: Simplify y into y
1.846 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.846 * [taylor]: Taking taylor expansion of z in z
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 1 into 1
1.846 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.846 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.846 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.847 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.847 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.847 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.847 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.847 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.847 * [taylor]: Taking taylor expansion of x in y
1.847 * [backup-simplify]: Simplify x into x
1.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.847 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.847 * [taylor]: Taking taylor expansion of y in y
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 1 into 1
1.848 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.848 * [taylor]: Taking taylor expansion of z in y
1.848 * [backup-simplify]: Simplify z into z
1.848 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.848 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.848 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.848 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.848 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.848 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.848 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.848 * [backup-simplify]: Simplify (+ 0 0) into 0
1.849 * [backup-simplify]: Simplify (+ 0 0) into 0
1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.849 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.849 * [taylor]: Taking taylor expansion of x in x
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.849 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.849 * [taylor]: Taking taylor expansion of y in x
1.849 * [backup-simplify]: Simplify y into y
1.849 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.849 * [taylor]: Taking taylor expansion of z in x
1.849 * [backup-simplify]: Simplify z into z
1.849 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.849 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.849 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.849 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.850 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.850 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.850 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.850 * [taylor]: Taking taylor expansion of x in x
1.850 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.851 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.851 * [taylor]: Taking taylor expansion of y in x
1.851 * [backup-simplify]: Simplify y into y
1.851 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.851 * [taylor]: Taking taylor expansion of z in x
1.851 * [backup-simplify]: Simplify z into z
1.851 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.851 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.851 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.851 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.851 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.851 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.852 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.852 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.852 * [taylor]: Taking taylor expansion of y in y
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.852 * [taylor]: Taking taylor expansion of z in y
1.852 * [backup-simplify]: Simplify z into z
1.852 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.852 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.852 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.852 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.853 * [taylor]: Taking taylor expansion of z in z
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [taylor]: Taking taylor expansion of 0 in y
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [taylor]: Taking taylor expansion of 0 in z
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [taylor]: Taking taylor expansion of 0 in z
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.854 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.854 * [backup-simplify]: Simplify (+ 0 0) into 0
1.854 * [backup-simplify]: Simplify (+ 1 0) into 1
1.855 * [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)))))
1.855 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.855 * [taylor]: Taking taylor expansion of 1/2 in y
1.855 * [backup-simplify]: Simplify 1/2 into 1/2
1.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.855 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.855 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.855 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.855 * [taylor]: Taking taylor expansion of y in y
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.855 * [taylor]: Taking taylor expansion of z in y
1.855 * [backup-simplify]: Simplify z into z
1.855 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.855 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.855 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.856 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.856 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.856 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.856 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.856 * [taylor]: Taking taylor expansion of 1/2 in z
1.856 * [backup-simplify]: Simplify 1/2 into 1/2
1.856 * [taylor]: Taking taylor expansion of z in z
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [taylor]: Taking taylor expansion of 0 in z
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.858 * [backup-simplify]: Simplify (+ 1 0) into 1
1.858 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.858 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.858 * [taylor]: Taking taylor expansion of 1/2 in z
1.858 * [backup-simplify]: Simplify 1/2 into 1/2
1.858 * [taylor]: Taking taylor expansion of z in z
1.858 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.860 * [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)))))
1.860 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.860 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.860 * [taylor]: Taking taylor expansion of x in z
1.860 * [backup-simplify]: Simplify x into x
1.860 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.860 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.860 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.860 * [taylor]: Taking taylor expansion of z in z
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 1 into 1
1.861 * [backup-simplify]: Simplify (* 1 1) into 1
1.861 * [backup-simplify]: Simplify (/ 1 1) into 1
1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.861 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.861 * [taylor]: Taking taylor expansion of y in z
1.861 * [backup-simplify]: Simplify y into y
1.861 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.861 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.861 * [backup-simplify]: Simplify (+ 1 0) into 1
1.862 * [backup-simplify]: Simplify (+ 0 1) into 1
1.862 * [backup-simplify]: Simplify (sqrt 1) into 1
1.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.864 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.864 * [taylor]: Taking taylor expansion of x in y
1.864 * [backup-simplify]: Simplify x into x
1.864 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.864 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.864 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.864 * [taylor]: Taking taylor expansion of z in y
1.864 * [backup-simplify]: Simplify z into z
1.864 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.864 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.865 * [taylor]: Taking taylor expansion of y in y
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify (* 1 1) into 1
1.865 * [backup-simplify]: Simplify (/ 1 1) into 1
1.866 * [backup-simplify]: Simplify (+ 0 1) into 1
1.866 * [backup-simplify]: Simplify (+ 0 1) into 1
1.866 * [backup-simplify]: Simplify (sqrt 1) into 1
1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.867 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.868 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.868 * [taylor]: Taking taylor expansion of x in x
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.869 * [backup-simplify]: Simplify (* 1 1) into 1
1.869 * [backup-simplify]: Simplify (/ 1 1) into 1
1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.869 * [taylor]: Taking taylor expansion of z in x
1.869 * [backup-simplify]: Simplify z into z
1.869 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.869 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.869 * [taylor]: Taking taylor expansion of y in x
1.870 * [backup-simplify]: Simplify y into y
1.870 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.870 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.870 * [backup-simplify]: Simplify (+ 1 0) into 1
1.870 * [backup-simplify]: Simplify (sqrt 1) into 1
1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.872 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.872 * [taylor]: Taking taylor expansion of x in x
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (* 1 1) into 1
1.872 * [backup-simplify]: Simplify (/ 1 1) into 1
1.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.872 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.872 * [taylor]: Taking taylor expansion of z in x
1.872 * [backup-simplify]: Simplify z into z
1.872 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.872 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.872 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.873 * [taylor]: Taking taylor expansion of y in x
1.873 * [backup-simplify]: Simplify y into y
1.873 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.873 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.873 * [backup-simplify]: Simplify (+ 1 0) into 1
1.873 * [backup-simplify]: Simplify (sqrt 1) into 1
1.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.874 * [backup-simplify]: Simplify (+ 0 0) into 0
1.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.875 * [taylor]: Taking taylor expansion of 1 in y
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [taylor]: Taking taylor expansion of 0 in y
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [taylor]: Taking taylor expansion of 1 in z
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.876 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.876 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.877 * [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))))
1.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.877 * [taylor]: Taking taylor expansion of 1/2 in y
1.877 * [backup-simplify]: Simplify 1/2 into 1/2
1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.877 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.877 * [taylor]: Taking taylor expansion of z in y
1.877 * [backup-simplify]: Simplify z into z
1.877 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.877 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.877 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.877 * [taylor]: Taking taylor expansion of y in y
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 1 into 1
1.878 * [backup-simplify]: Simplify (* 1 1) into 1
1.878 * [backup-simplify]: Simplify (/ 1 1) into 1
1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.880 * [taylor]: Taking taylor expansion of 0 in z
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [taylor]: Taking taylor expansion of 0 in z
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [taylor]: Taking taylor expansion of 0 in z
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.881 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.882 * [taylor]: Taking taylor expansion of 0 in y
1.882 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.884 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.884 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.884 * [taylor]: Taking taylor expansion of 1/2 in z
1.884 * [backup-simplify]: Simplify 1/2 into 1/2
1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.884 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.884 * [taylor]: Taking taylor expansion of z in z
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (* 1 1) into 1
1.885 * [backup-simplify]: Simplify (/ 1 1) into 1
1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [taylor]: Taking taylor expansion of 0 in z
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [taylor]: Taking taylor expansion of 0 in z
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.888 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [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))))))
1.890 * [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
1.890 * [taylor]: Taking taylor expansion of -1/2 in y
1.890 * [backup-simplify]: Simplify -1/2 into -1/2
1.890 * [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
1.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.890 * [taylor]: Taking taylor expansion of 1/4 in y
1.890 * [backup-simplify]: Simplify 1/4 into 1/4
1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.890 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.890 * [taylor]: Taking taylor expansion of z in y
1.890 * [backup-simplify]: Simplify z into z
1.890 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.891 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.891 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.891 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.891 * [taylor]: Taking taylor expansion of 1/2 in y
1.891 * [backup-simplify]: Simplify 1/2 into 1/2
1.891 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.891 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.891 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.891 * [taylor]: Taking taylor expansion of z in y
1.891 * [backup-simplify]: Simplify z into z
1.891 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.891 * [taylor]: Taking taylor expansion of y in y
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.891 * [backup-simplify]: Simplify (* 1 1) into 1
1.891 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.891 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.891 * [taylor]: Taking taylor expansion of 1/4 in y
1.891 * [backup-simplify]: Simplify 1/4 into 1/4
1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.891 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.891 * [taylor]: Taking taylor expansion of y in y
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.892 * [backup-simplify]: Simplify (* 1 1) into 1
1.892 * [backup-simplify]: Simplify (* 1 1) into 1
1.892 * [backup-simplify]: Simplify (/ 1 1) into 1
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.893 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.893 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.904 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.905 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.905 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.905 * [backup-simplify]: Simplify (+ 0 0) into 0
1.905 * [backup-simplify]: Simplify (+ 0 0) into 0
1.906 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.906 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.906 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.907 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.907 * [taylor]: Taking taylor expansion of 0 in z
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [taylor]: Taking taylor expansion of 0 in z
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.909 * [taylor]: Taking taylor expansion of 0 in z
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [taylor]: Taking taylor expansion of 0 in z
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [taylor]: Taking taylor expansion of 0 in z
1.909 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.912 * [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)))))
1.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.912 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.912 * [taylor]: Taking taylor expansion of x in z
1.912 * [backup-simplify]: Simplify x into x
1.912 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.912 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.912 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.912 * [taylor]: Taking taylor expansion of z in z
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.912 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.912 * [taylor]: Taking taylor expansion of y in z
1.912 * [backup-simplify]: Simplify y into y
1.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.913 * [backup-simplify]: Simplify (+ 1 0) into 1
1.913 * [backup-simplify]: Simplify (+ 0 1) into 1
1.913 * [backup-simplify]: Simplify (sqrt 1) into 1
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.915 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.915 * [taylor]: Taking taylor expansion of x in y
1.915 * [backup-simplify]: Simplify x into x
1.915 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.915 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.915 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.915 * [taylor]: Taking taylor expansion of z in y
1.915 * [backup-simplify]: Simplify z into z
1.915 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.916 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.916 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.916 * [taylor]: Taking taylor expansion of y in y
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.916 * [backup-simplify]: Simplify (* 1 1) into 1
1.916 * [backup-simplify]: Simplify (/ 1 1) into 1
1.916 * [backup-simplify]: Simplify (+ 0 1) into 1
1.917 * [backup-simplify]: Simplify (+ 0 1) into 1
1.917 * [backup-simplify]: Simplify (sqrt 1) into 1
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.919 * [taylor]: Taking taylor expansion of x in x
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (* 1 1) into 1
1.919 * [backup-simplify]: Simplify (/ 1 1) into 1
1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.919 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.919 * [taylor]: Taking taylor expansion of z in x
1.919 * [backup-simplify]: Simplify z into z
1.919 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.919 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.919 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.919 * [taylor]: Taking taylor expansion of y in x
1.919 * [backup-simplify]: Simplify y into y
1.919 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.920 * [backup-simplify]: Simplify (+ 1 0) into 1
1.920 * [backup-simplify]: Simplify (sqrt 1) into 1
1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.922 * [taylor]: Taking taylor expansion of x in x
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 1 into 1
1.922 * [backup-simplify]: Simplify (* 1 1) into 1
1.922 * [backup-simplify]: Simplify (/ 1 1) into 1
1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.922 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.922 * [taylor]: Taking taylor expansion of z in x
1.922 * [backup-simplify]: Simplify z into z
1.922 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.922 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.922 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.922 * [taylor]: Taking taylor expansion of y in x
1.922 * [backup-simplify]: Simplify y into y
1.922 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.923 * [backup-simplify]: Simplify (+ 1 0) into 1
1.923 * [backup-simplify]: Simplify (sqrt 1) into 1
1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.924 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.925 * [taylor]: Taking taylor expansion of 1 in y
1.925 * [backup-simplify]: Simplify 1 into 1
1.925 * [taylor]: Taking taylor expansion of 0 in y
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [taylor]: Taking taylor expansion of 1 in z
1.925 * [backup-simplify]: Simplify 1 into 1
1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.926 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.926 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.927 * [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))))
1.927 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.927 * [taylor]: Taking taylor expansion of 1/2 in y
1.927 * [backup-simplify]: Simplify 1/2 into 1/2
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.927 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.927 * [taylor]: Taking taylor expansion of z in y
1.927 * [backup-simplify]: Simplify z into z
1.927 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.927 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.927 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.927 * [taylor]: Taking taylor expansion of y in y
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1.929 * [backup-simplify]: Simplify (+ 0 1) into 1
1.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.930 * [taylor]: Taking taylor expansion of 0 in z
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [taylor]: Taking taylor expansion of 0 in z
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [taylor]: Taking taylor expansion of 0 in z
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.932 * [taylor]: Taking taylor expansion of 0 in y
1.932 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.934 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.934 * [taylor]: Taking taylor expansion of 1/2 in z
1.934 * [backup-simplify]: Simplify 1/2 into 1/2
1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.934 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.934 * [taylor]: Taking taylor expansion of z in z
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (* 1 1) into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [taylor]: Taking taylor expansion of 0 in z
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [taylor]: Taking taylor expansion of 0 in z
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.938 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [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))))))
1.940 * [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
1.940 * [taylor]: Taking taylor expansion of -1/2 in y
1.940 * [backup-simplify]: Simplify -1/2 into -1/2
1.940 * [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
1.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.940 * [taylor]: Taking taylor expansion of 1/4 in y
1.940 * [backup-simplify]: Simplify 1/4 into 1/4
1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.940 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.940 * [taylor]: Taking taylor expansion of z in y
1.940 * [backup-simplify]: Simplify z into z
1.940 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.941 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.941 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.941 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.941 * [taylor]: Taking taylor expansion of 1/2 in y
1.941 * [backup-simplify]: Simplify 1/2 into 1/2
1.941 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.941 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.941 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.941 * [taylor]: Taking taylor expansion of z in y
1.941 * [backup-simplify]: Simplify z into z
1.941 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.941 * [taylor]: Taking taylor expansion of y in y
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.941 * [backup-simplify]: Simplify (* 1 1) into 1
1.941 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.941 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.941 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.941 * [taylor]: Taking taylor expansion of 1/4 in y
1.941 * [backup-simplify]: Simplify 1/4 into 1/4
1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.941 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.941 * [taylor]: Taking taylor expansion of y in y
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.942 * [backup-simplify]: Simplify (/ 1 1) into 1
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.943 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.950 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.950 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.951 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.951 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.952 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.952 * [taylor]: Taking taylor expansion of 0 in z
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [taylor]: Taking taylor expansion of 0 in z
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.955 * [taylor]: Taking taylor expansion of 0 in z
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [taylor]: Taking taylor expansion of 0 in z
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [taylor]: Taking taylor expansion of 0 in z
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.956 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
1.957 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.957 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.957 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.957 * [taylor]: Taking taylor expansion of x in z
1.957 * [backup-simplify]: Simplify x into x
1.957 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.957 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.957 * [taylor]: Taking taylor expansion of y in z
1.957 * [backup-simplify]: Simplify y into y
1.957 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.957 * [taylor]: Taking taylor expansion of z in z
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.957 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.957 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.957 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.957 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.957 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.958 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.958 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.958 * [taylor]: Taking taylor expansion of x in y
1.958 * [backup-simplify]: Simplify x into x
1.958 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.958 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.958 * [taylor]: Taking taylor expansion of y in y
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.958 * [taylor]: Taking taylor expansion of z in y
1.958 * [backup-simplify]: Simplify z into z
1.958 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.959 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.959 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.959 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.959 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.959 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.959 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.960 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.960 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.960 * [taylor]: Taking taylor expansion of x in x
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 1 into 1
1.960 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.960 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.960 * [taylor]: Taking taylor expansion of y in x
1.960 * [backup-simplify]: Simplify y into y
1.960 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.960 * [taylor]: Taking taylor expansion of z in x
1.960 * [backup-simplify]: Simplify z into z
1.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.960 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.960 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.960 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.961 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.961 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.961 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.961 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.961 * [taylor]: Taking taylor expansion of x in x
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.961 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.961 * [taylor]: Taking taylor expansion of y in x
1.962 * [backup-simplify]: Simplify y into y
1.962 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.962 * [taylor]: Taking taylor expansion of z in x
1.962 * [backup-simplify]: Simplify z into z
1.962 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.962 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.962 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.962 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.962 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.962 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.962 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.962 * [backup-simplify]: Simplify (+ 0 0) into 0
1.963 * [backup-simplify]: Simplify (+ 0 0) into 0
1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.963 * [taylor]: Taking taylor expansion of y in y
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.963 * [taylor]: Taking taylor expansion of z in y
1.963 * [backup-simplify]: Simplify z into z
1.963 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.963 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.963 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.963 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.964 * [taylor]: Taking taylor expansion of z in z
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [taylor]: Taking taylor expansion of 0 in y
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [taylor]: Taking taylor expansion of 0 in z
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [taylor]: Taking taylor expansion of 0 in z
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (* 1 1) into 1
1.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.965 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.965 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (+ 1 0) into 1
1.966 * [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)))))
1.966 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.966 * [taylor]: Taking taylor expansion of 1/2 in y
1.966 * [backup-simplify]: Simplify 1/2 into 1/2
1.966 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.966 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.966 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.966 * [taylor]: Taking taylor expansion of y in y
1.966 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify 1 into 1
1.966 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.966 * [taylor]: Taking taylor expansion of z in y
1.966 * [backup-simplify]: Simplify z into z
1.966 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.966 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.966 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.966 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.967 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.967 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.967 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.967 * [taylor]: Taking taylor expansion of 1/2 in z
1.967 * [backup-simplify]: Simplify 1/2 into 1/2
1.967 * [taylor]: Taking taylor expansion of z in z
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [taylor]: Taking taylor expansion of 0 in z
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (* 1 1) into 1
1.969 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.969 * [backup-simplify]: Simplify (+ 1 0) into 1
1.969 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.969 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.969 * [taylor]: Taking taylor expansion of 1/2 in z
1.969 * [backup-simplify]: Simplify 1/2 into 1/2
1.969 * [taylor]: Taking taylor expansion of z in z
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.971 * [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)))))
1.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.971 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.971 * [taylor]: Taking taylor expansion of x in z
1.971 * [backup-simplify]: Simplify x into x
1.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.971 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.971 * [taylor]: Taking taylor expansion of z in z
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (* 1 1) into 1
1.972 * [backup-simplify]: Simplify (/ 1 1) into 1
1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.972 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.972 * [taylor]: Taking taylor expansion of y in z
1.972 * [backup-simplify]: Simplify y into y
1.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.972 * [backup-simplify]: Simplify (+ 1 0) into 1
1.972 * [backup-simplify]: Simplify (+ 0 1) into 1
1.973 * [backup-simplify]: Simplify (sqrt 1) into 1
1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.974 * [backup-simplify]: Simplify (+ 0 0) into 0
1.974 * [backup-simplify]: Simplify (+ 0 0) into 0
1.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.974 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.974 * [taylor]: Taking taylor expansion of x in y
1.975 * [backup-simplify]: Simplify x into x
1.975 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.975 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.975 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.975 * [taylor]: Taking taylor expansion of z in y
1.975 * [backup-simplify]: Simplify z into z
1.975 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.975 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.975 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.975 * [taylor]: Taking taylor expansion of y in y
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [backup-simplify]: Simplify (* 1 1) into 1
1.975 * [backup-simplify]: Simplify (/ 1 1) into 1
1.976 * [backup-simplify]: Simplify (+ 0 1) into 1
1.976 * [backup-simplify]: Simplify (+ 0 1) into 1
1.976 * [backup-simplify]: Simplify (sqrt 1) into 1
1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.978 * [taylor]: Taking taylor expansion of x in x
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (* 1 1) into 1
1.978 * [backup-simplify]: Simplify (/ 1 1) into 1
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.979 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.979 * [taylor]: Taking taylor expansion of z in x
1.979 * [backup-simplify]: Simplify z into z
1.979 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.979 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.979 * [taylor]: Taking taylor expansion of y in x
1.979 * [backup-simplify]: Simplify y into y
1.979 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.979 * [backup-simplify]: Simplify (+ 1 0) into 1
1.979 * [backup-simplify]: Simplify (sqrt 1) into 1
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.981 * [taylor]: Taking taylor expansion of x in x
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 1 into 1
1.981 * [backup-simplify]: Simplify (* 1 1) into 1
1.981 * [backup-simplify]: Simplify (/ 1 1) into 1
1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.982 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.982 * [taylor]: Taking taylor expansion of z in x
1.982 * [backup-simplify]: Simplify z into z
1.982 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.982 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.982 * [taylor]: Taking taylor expansion of y in x
1.982 * [backup-simplify]: Simplify y into y
1.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.982 * [backup-simplify]: Simplify (+ 1 0) into 1
1.982 * [backup-simplify]: Simplify (sqrt 1) into 1
1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.983 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.984 * [taylor]: Taking taylor expansion of 1 in y
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [taylor]: Taking taylor expansion of 0 in y
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [taylor]: Taking taylor expansion of 1 in z
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.985 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.986 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.987 * [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))))
1.987 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.987 * [taylor]: Taking taylor expansion of 1/2 in y
1.987 * [backup-simplify]: Simplify 1/2 into 1/2
1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.987 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.987 * [taylor]: Taking taylor expansion of z in y
1.987 * [backup-simplify]: Simplify z into z
1.987 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.987 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.987 * [taylor]: Taking taylor expansion of y in y
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.987 * [backup-simplify]: Simplify (* 1 1) into 1
1.987 * [backup-simplify]: Simplify (/ 1 1) into 1
1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (+ 0 1) into 1
1.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.994 * [taylor]: Taking taylor expansion of 0 in z
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [taylor]: Taking taylor expansion of 0 in z
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [taylor]: Taking taylor expansion of 0 in z
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.997 * [taylor]: Taking taylor expansion of 0 in y
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.998 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.999 * [taylor]: Taking taylor expansion of 1/2 in z
1.999 * [backup-simplify]: Simplify 1/2 into 1/2
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.999 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.999 * [taylor]: Taking taylor expansion of z in z
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* 1 1) into 1
1.999 * [backup-simplify]: Simplify (/ 1 1) into 1
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [taylor]: Taking taylor expansion of 0 in z
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [taylor]: Taking taylor expansion of 0 in z
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.003 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [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))))))
2.004 * [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
2.004 * [taylor]: Taking taylor expansion of -1/2 in y
2.004 * [backup-simplify]: Simplify -1/2 into -1/2
2.004 * [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
2.004 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.004 * [taylor]: Taking taylor expansion of 1/4 in y
2.004 * [backup-simplify]: Simplify 1/4 into 1/4
2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.005 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.005 * [taylor]: Taking taylor expansion of z in y
2.005 * [backup-simplify]: Simplify z into z
2.005 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.005 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.005 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.005 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.005 * [taylor]: Taking taylor expansion of 1/2 in y
2.005 * [backup-simplify]: Simplify 1/2 into 1/2
2.005 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.005 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.005 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.005 * [taylor]: Taking taylor expansion of z in y
2.005 * [backup-simplify]: Simplify z into z
2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.005 * [taylor]: Taking taylor expansion of y in y
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.005 * [backup-simplify]: Simplify (* 1 1) into 1
2.005 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.006 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.006 * [taylor]: Taking taylor expansion of 1/4 in y
2.006 * [backup-simplify]: Simplify 1/4 into 1/4
2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.006 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.006 * [taylor]: Taking taylor expansion of y in y
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 1 into 1
2.006 * [backup-simplify]: Simplify (* 1 1) into 1
2.006 * [backup-simplify]: Simplify (* 1 1) into 1
2.006 * [backup-simplify]: Simplify (/ 1 1) into 1
2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.007 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.007 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.014 * [backup-simplify]: Simplify (+ 0 0) into 0
2.014 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.015 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.016 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.017 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.017 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.017 * [taylor]: Taking taylor expansion of 0 in z
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [taylor]: Taking taylor expansion of 0 in z
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (+ 0 0) into 0
2.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.020 * [taylor]: Taking taylor expansion of 0 in z
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [taylor]: Taking taylor expansion of 0 in z
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [taylor]: Taking taylor expansion of 0 in z
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.022 * [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)))))
2.022 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.022 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.022 * [taylor]: Taking taylor expansion of x in z
2.022 * [backup-simplify]: Simplify x into x
2.022 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.022 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.022 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.022 * [taylor]: Taking taylor expansion of z in z
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [backup-simplify]: Simplify (* 1 1) into 1
2.023 * [backup-simplify]: Simplify (/ 1 1) into 1
2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.023 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.023 * [taylor]: Taking taylor expansion of y in z
2.023 * [backup-simplify]: Simplify y into y
2.023 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.023 * [backup-simplify]: Simplify (+ 1 0) into 1
2.023 * [backup-simplify]: Simplify (+ 0 1) into 1
2.024 * [backup-simplify]: Simplify (sqrt 1) into 1
2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.025 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.025 * [taylor]: Taking taylor expansion of x in y
2.025 * [backup-simplify]: Simplify x into x
2.026 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.026 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.026 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.026 * [taylor]: Taking taylor expansion of z in y
2.026 * [backup-simplify]: Simplify z into z
2.026 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.026 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.026 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.026 * [taylor]: Taking taylor expansion of y in y
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.027 * [backup-simplify]: Simplify (+ 0 1) into 1
2.027 * [backup-simplify]: Simplify (+ 0 1) into 1
2.027 * [backup-simplify]: Simplify (sqrt 1) into 1
2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.029 * [taylor]: Taking taylor expansion of x in x
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify (* 1 1) into 1
2.029 * [backup-simplify]: Simplify (/ 1 1) into 1
2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.029 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.029 * [taylor]: Taking taylor expansion of z in x
2.030 * [backup-simplify]: Simplify z into z
2.030 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.030 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.030 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.030 * [taylor]: Taking taylor expansion of y in x
2.030 * [backup-simplify]: Simplify y into y
2.030 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.030 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.030 * [backup-simplify]: Simplify (+ 1 0) into 1
2.030 * [backup-simplify]: Simplify (sqrt 1) into 1
2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.032 * [taylor]: Taking taylor expansion of x in x
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [backup-simplify]: Simplify (* 1 1) into 1
2.032 * [backup-simplify]: Simplify (/ 1 1) into 1
2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.032 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.032 * [taylor]: Taking taylor expansion of z in x
2.033 * [backup-simplify]: Simplify z into z
2.033 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.033 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.033 * [taylor]: Taking taylor expansion of y in x
2.033 * [backup-simplify]: Simplify y into y
2.033 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.033 * [backup-simplify]: Simplify (+ 1 0) into 1
2.033 * [backup-simplify]: Simplify (sqrt 1) into 1
2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.035 * [taylor]: Taking taylor expansion of 1 in y
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [taylor]: Taking taylor expansion of 0 in y
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [taylor]: Taking taylor expansion of 1 in z
2.035 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.037 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.038 * [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))))
2.038 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.038 * [taylor]: Taking taylor expansion of 1/2 in y
2.038 * [backup-simplify]: Simplify 1/2 into 1/2
2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.038 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.038 * [taylor]: Taking taylor expansion of z in y
2.038 * [backup-simplify]: Simplify z into z
2.038 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.038 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.038 * [taylor]: Taking taylor expansion of y in y
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (* 1 1) into 1
2.038 * [backup-simplify]: Simplify (/ 1 1) into 1
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (+ 0 1) into 1
2.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.040 * [taylor]: Taking taylor expansion of 0 in z
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [taylor]: Taking taylor expansion of 0 in z
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [taylor]: Taking taylor expansion of 0 in z
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.042 * [backup-simplify]: Simplify (+ 0 0) into 0
2.042 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.043 * [taylor]: Taking taylor expansion of 0 in y
2.043 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.045 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.045 * [taylor]: Taking taylor expansion of 1/2 in z
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.045 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.045 * [taylor]: Taking taylor expansion of z in z
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.045 * [backup-simplify]: Simplify (* 1 1) into 1
2.045 * [backup-simplify]: Simplify (/ 1 1) into 1
2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [taylor]: Taking taylor expansion of 0 in z
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [taylor]: Taking taylor expansion of 0 in z
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (+ 0 0) into 0
2.051 * [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))))))
2.051 * [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
2.051 * [taylor]: Taking taylor expansion of -1/2 in y
2.051 * [backup-simplify]: Simplify -1/2 into -1/2
2.051 * [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
2.051 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.051 * [taylor]: Taking taylor expansion of 1/4 in y
2.051 * [backup-simplify]: Simplify 1/4 into 1/4
2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.051 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.051 * [taylor]: Taking taylor expansion of z in y
2.051 * [backup-simplify]: Simplify z into z
2.051 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.051 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.051 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.051 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.051 * [taylor]: Taking taylor expansion of 1/2 in y
2.051 * [backup-simplify]: Simplify 1/2 into 1/2
2.051 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.051 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.051 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.051 * [taylor]: Taking taylor expansion of z in y
2.051 * [backup-simplify]: Simplify z into z
2.051 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.051 * [taylor]: Taking taylor expansion of y in y
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.052 * [backup-simplify]: Simplify (* 1 1) into 1
2.052 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.052 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.052 * [taylor]: Taking taylor expansion of 1/4 in y
2.052 * [backup-simplify]: Simplify 1/4 into 1/4
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.052 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.052 * [taylor]: Taking taylor expansion of y in y
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (* 1 1) into 1
2.052 * [backup-simplify]: Simplify (* 1 1) into 1
2.053 * [backup-simplify]: Simplify (/ 1 1) into 1
2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.053 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.053 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ 0 0) into 0
2.059 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.060 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.060 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.062 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.062 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.062 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.063 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.063 * [taylor]: Taking taylor expansion of 0 in z
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [taylor]: Taking taylor expansion of 0 in z
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.065 * [taylor]: Taking taylor expansion of 0 in z
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [taylor]: Taking taylor expansion of 0 in z
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [taylor]: Taking taylor expansion of 0 in z
2.065 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.067 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.067 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6)
2.067 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in (x y z) around 0
2.067 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
2.068 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
2.068 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
2.068 * [taylor]: Taking taylor expansion of 1/6 in z
2.068 * [backup-simplify]: Simplify 1/6 into 1/6
2.068 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.068 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.068 * [taylor]: Taking taylor expansion of x in z
2.068 * [backup-simplify]: Simplify x into x
2.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.068 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.068 * [taylor]: Taking taylor expansion of y in z
2.068 * [backup-simplify]: Simplify y into y
2.068 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.068 * [taylor]: Taking taylor expansion of z in z
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.068 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.068 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.068 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
2.068 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
2.069 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
2.069 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in y
2.069 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
2.069 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
2.069 * [taylor]: Taking taylor expansion of 1/6 in y
2.069 * [backup-simplify]: Simplify 1/6 into 1/6
2.069 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.069 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.069 * [taylor]: Taking taylor expansion of x in y
2.069 * [backup-simplify]: Simplify x into x
2.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.069 * [taylor]: Taking taylor expansion of y in y
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 1 into 1
2.069 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.069 * [taylor]: Taking taylor expansion of z in y
2.069 * [backup-simplify]: Simplify z into z
2.069 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.069 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.069 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.069 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.069 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
2.070 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow z 2)))) into (* 1/6 (log (+ (pow x 2) (pow z 2))))
2.070 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/6)
2.070 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
2.070 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
2.070 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
2.070 * [taylor]: Taking taylor expansion of 1/6 in x
2.070 * [backup-simplify]: Simplify 1/6 into 1/6
2.070 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.070 * [taylor]: Taking taylor expansion of x in x
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.070 * [taylor]: Taking taylor expansion of y in x
2.070 * [backup-simplify]: Simplify y into y
2.070 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.070 * [taylor]: Taking taylor expansion of z in x
2.070 * [backup-simplify]: Simplify z into z
2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.070 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.070 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.071 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.071 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
2.071 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
2.071 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
2.071 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
2.071 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
2.071 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
2.071 * [taylor]: Taking taylor expansion of 1/6 in x
2.071 * [backup-simplify]: Simplify 1/6 into 1/6
2.071 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.071 * [taylor]: Taking taylor expansion of x in x
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [backup-simplify]: Simplify 1 into 1
2.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.071 * [taylor]: Taking taylor expansion of y in x
2.071 * [backup-simplify]: Simplify y into y
2.071 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.071 * [taylor]: Taking taylor expansion of z in x
2.071 * [backup-simplify]: Simplify z into z
2.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.071 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.072 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.072 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.072 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
2.072 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
2.072 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
2.072 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/6) in y
2.072 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) in y
2.072 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) (pow z 2)))) in y
2.072 * [taylor]: Taking taylor expansion of 1/6 in y
2.072 * [backup-simplify]: Simplify 1/6 into 1/6
2.073 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
2.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.073 * [taylor]: Taking taylor expansion of y in y
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.073 * [taylor]: Taking taylor expansion of z in y
2.073 * [backup-simplify]: Simplify z into z
2.073 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.073 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.073 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
2.073 * [backup-simplify]: Simplify (* 1/6 (log (pow z 2))) into (* 1/6 (log (pow z 2)))
2.073 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow z 2)))) into (pow (pow z 2) 1/6)
2.073 * [taylor]: Taking taylor expansion of (pow (pow z 2) 1/6) in z
2.073 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow z 2)))) in z
2.073 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow z 2))) in z
2.073 * [taylor]: Taking taylor expansion of 1/6 in z
2.073 * [backup-simplify]: Simplify 1/6 into 1/6
2.073 * [taylor]: Taking taylor expansion of (log (pow z 2)) in z
2.073 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.073 * [taylor]: Taking taylor expansion of z in z
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.074 * [backup-simplify]: Simplify (* 1 1) into 1
2.074 * [backup-simplify]: Simplify (log 1) into 0
2.074 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
2.074 * [backup-simplify]: Simplify (* 1/6 (* 2 (log z))) into (* 1/3 (log z))
2.074 * [backup-simplify]: Simplify (exp (* 1/3 (log z))) into (pow z 1/3)
2.074 * [backup-simplify]: Simplify (pow z 1/3) into (pow z 1/3)
2.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.074 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0
2.076 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0
2.077 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.077 * [taylor]: Taking taylor expansion of 0 in y
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [taylor]: Taking taylor expansion of 0 in z
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.077 * [backup-simplify]: Simplify (+ 0 0) into 0
2.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
2.078 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow z 2)))) into 0
2.078 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.079 * [taylor]: Taking taylor expansion of 0 in z
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.080 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
2.080 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log z)))) into 0
2.081 * [backup-simplify]: Simplify (* (exp (* 1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify (* 1 1) into 1
2.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.082 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.082 * [backup-simplify]: Simplify (+ 0 0) into 0
2.082 * [backup-simplify]: Simplify (+ 1 0) into 1
2.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow y 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow y 2) (pow z 2)))
2.084 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow y 2) (pow z 2)))))) into (* 1/6 (/ 1 (+ (pow y 2) (pow z 2))))
2.090 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6))
2.090 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6)) in y
2.091 * [taylor]: Taking taylor expansion of 1/6 in y
2.091 * [backup-simplify]: Simplify 1/6 into 1/6
2.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) 1/6) in y
2.091 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))) in y
2.091 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)))) in y
2.091 * [taylor]: Taking taylor expansion of 1/6 in y
2.091 * [backup-simplify]: Simplify 1/6 into 1/6
2.091 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))) in y
2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 5)) in y
2.091 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 5) in y
2.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.091 * [taylor]: Taking taylor expansion of y in y
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.091 * [taylor]: Taking taylor expansion of z in y
2.091 * [backup-simplify]: Simplify z into z
2.091 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.091 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.091 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.091 * [backup-simplify]: Simplify (* (pow z 4) (pow z 4)) into (pow z 8)
2.091 * [backup-simplify]: Simplify (* (pow z 2) (pow z 8)) into (pow z 10)
2.091 * [backup-simplify]: Simplify (/ 1 (pow z 10)) into (/ 1 (pow z 10))
2.092 * [backup-simplify]: Simplify (log (/ 1 (pow z 10))) into (log (/ 1 (pow z 10)))
2.092 * [backup-simplify]: Simplify (* 1/6 (log (/ 1 (pow z 10)))) into (* 1/6 (log (/ 1 (pow z 10))))
2.092 * [backup-simplify]: Simplify (exp (* 1/6 (log (/ 1 (pow z 10))))) into (pow (/ 1 (pow z 10)) 1/6)
2.092 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 10)) 1/6)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.092 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) in z
2.092 * [taylor]: Taking taylor expansion of 1/6 in z
2.092 * [backup-simplify]: Simplify 1/6 into 1/6
2.092 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow z 5)) 1/3) in z
2.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow z 5))))) in z
2.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow z 5)))) in z
2.092 * [taylor]: Taking taylor expansion of 1/3 in z
2.092 * [backup-simplify]: Simplify 1/3 into 1/3
2.092 * [taylor]: Taking taylor expansion of (log (/ 1 (pow z 5))) in z
2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 5)) in z
2.092 * [taylor]: Taking taylor expansion of (pow z 5) in z
2.092 * [taylor]: Taking taylor expansion of z in z
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (* 1 1) into 1
2.093 * [backup-simplify]: Simplify (* 1 1) into 1
2.093 * [backup-simplify]: Simplify (* 1 1) into 1
2.093 * [backup-simplify]: Simplify (/ 1 1) into 1
2.094 * [backup-simplify]: Simplify (log 1) into 0
2.094 * [backup-simplify]: Simplify (+ (* (- 5) (log z)) 0) into (- (* 5 (log z)))
2.094 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log z)))) into (* -5/3 (log z))
2.094 * [backup-simplify]: Simplify (exp (* -5/3 (log z))) into (pow z -5/3)
2.094 * [backup-simplify]: Simplify (* 1/6 (pow z -5/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.094 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.094 * [taylor]: Taking taylor expansion of 0 in z
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.095 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.095 * [backup-simplify]: Simplify (+ 1 0) into 1
2.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow z 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow z 2) 1)))) 2) into (/ 1 (pow z 2))
2.097 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/6 (/ 1 (pow z 2)))
2.097 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow z 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow z 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.098 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) in z
2.098 * [taylor]: Taking taylor expansion of 1/6 in z
2.098 * [backup-simplify]: Simplify 1/6 into 1/6
2.098 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow z 5)) 1/3) in z
2.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow z 5))))) in z
2.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow z 5)))) in z
2.098 * [taylor]: Taking taylor expansion of 1/3 in z
2.098 * [backup-simplify]: Simplify 1/3 into 1/3
2.098 * [taylor]: Taking taylor expansion of (log (/ 1 (pow z 5))) in z
2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 5)) in z
2.098 * [taylor]: Taking taylor expansion of (pow z 5) in z
2.098 * [taylor]: Taking taylor expansion of z in z
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 1 into 1
2.098 * [backup-simplify]: Simplify (* 1 1) into 1
2.098 * [backup-simplify]: Simplify (* 1 1) into 1
2.098 * [backup-simplify]: Simplify (* 1 1) into 1
2.099 * [backup-simplify]: Simplify (/ 1 1) into 1
2.099 * [backup-simplify]: Simplify (log 1) into 0
2.099 * [backup-simplify]: Simplify (+ (* (- 5) (log z)) 0) into (- (* 5 (log z)))
2.099 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log z)))) into (* -5/3 (log z))
2.099 * [backup-simplify]: Simplify (exp (* -5/3 (log z))) into (pow z -5/3)
2.099 * [backup-simplify]: Simplify (* 1/6 (pow z -5/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.100 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow z 5)) 1/3))
2.100 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) (pow (* 1 (* y 1)) 2)) (+ (* (* 1/6 (pow (/ 1 (pow z 5)) 1/3)) (pow (* 1 (* 1 x)) 2)) (pow z 1/3))) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow z 5)) 1/3))) (+ (* 1/6 (* (pow (/ 1 (pow z 5)) 1/3) (pow y 2))) (pow z 1/3)))
2.101 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
2.101 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (x y z) around 0
2.101 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
2.101 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
2.101 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
2.101 * [taylor]: Taking taylor expansion of 1/6 in z
2.101 * [backup-simplify]: Simplify 1/6 into 1/6
2.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.101 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.101 * [taylor]: Taking taylor expansion of x in z
2.101 * [backup-simplify]: Simplify x into x
2.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.101 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.101 * [taylor]: Taking taylor expansion of z in z
2.101 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify 1 into 1
2.101 * [backup-simplify]: Simplify (* 1 1) into 1
2.102 * [backup-simplify]: Simplify (/ 1 1) into 1
2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.102 * [taylor]: Taking taylor expansion of y in z
2.102 * [backup-simplify]: Simplify y into y
2.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.102 * [backup-simplify]: Simplify (+ 1 0) into 1
2.102 * [backup-simplify]: Simplify (+ 0 1) into 1
2.103 * [backup-simplify]: Simplify (log 1) into 0
2.103 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.103 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
2.103 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
2.103 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
2.103 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
2.103 * [taylor]: Taking taylor expansion of 1/6 in y
2.103 * [backup-simplify]: Simplify 1/6 into 1/6
2.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.103 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.103 * [taylor]: Taking taylor expansion of x in y
2.103 * [backup-simplify]: Simplify x into x
2.103 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.104 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.104 * [taylor]: Taking taylor expansion of z in y
2.104 * [backup-simplify]: Simplify z into z
2.104 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.104 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.104 * [taylor]: Taking taylor expansion of y in y
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [backup-simplify]: Simplify (* 1 1) into 1
2.104 * [backup-simplify]: Simplify (/ 1 1) into 1
2.105 * [backup-simplify]: Simplify (+ 0 1) into 1
2.105 * [backup-simplify]: Simplify (+ 0 1) into 1
2.105 * [backup-simplify]: Simplify (log 1) into 0
2.105 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.105 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
2.105 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
2.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
2.106 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.106 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.106 * [taylor]: Taking taylor expansion of 1/6 in x
2.106 * [backup-simplify]: Simplify 1/6 into 1/6
2.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.106 * [taylor]: Taking taylor expansion of x in x
2.106 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (* 1 1) into 1
2.106 * [backup-simplify]: Simplify (/ 1 1) into 1
2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.106 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.106 * [taylor]: Taking taylor expansion of z in x
2.106 * [backup-simplify]: Simplify z into z
2.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.106 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.106 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.106 * [taylor]: Taking taylor expansion of y in x
2.106 * [backup-simplify]: Simplify y into y
2.107 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.107 * [backup-simplify]: Simplify (+ 1 0) into 1
2.107 * [backup-simplify]: Simplify (log 1) into 0
2.107 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.107 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
2.108 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
2.108 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.108 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.108 * [taylor]: Taking taylor expansion of 1/6 in x
2.108 * [backup-simplify]: Simplify 1/6 into 1/6
2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.108 * [taylor]: Taking taylor expansion of x in x
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [backup-simplify]: Simplify (* 1 1) into 1
2.108 * [backup-simplify]: Simplify (/ 1 1) into 1
2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.108 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.108 * [taylor]: Taking taylor expansion of z in x
2.108 * [backup-simplify]: Simplify z into z
2.108 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.108 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.109 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.109 * [taylor]: Taking taylor expansion of y in x
2.109 * [backup-simplify]: Simplify y into y
2.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.109 * [backup-simplify]: Simplify (+ 1 0) into 1
2.109 * [backup-simplify]: Simplify (log 1) into 0
2.109 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.110 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
2.110 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.110 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
2.110 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
2.110 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
2.110 * [taylor]: Taking taylor expansion of -1/3 in y
2.110 * [backup-simplify]: Simplify -1/3 into -1/3
2.110 * [taylor]: Taking taylor expansion of (log x) in y
2.110 * [taylor]: Taking taylor expansion of x in y
2.110 * [backup-simplify]: Simplify x into x
2.110 * [backup-simplify]: Simplify (log x) into (log x)
2.110 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
2.110 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.110 * [taylor]: Taking taylor expansion of (pow x -1/3) in z
2.110 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in z
2.110 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in z
2.110 * [taylor]: Taking taylor expansion of -1/3 in z
2.110 * [backup-simplify]: Simplify -1/3 into -1/3
2.110 * [taylor]: Taking taylor expansion of (log x) in z
2.110 * [taylor]: Taking taylor expansion of x in z
2.110 * [backup-simplify]: Simplify x into x
2.110 * [backup-simplify]: Simplify (log x) into (log x)
2.110 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
2.110 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.110 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.111 * [backup-simplify]: Simplify (+ 0 0) into 0
2.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.112 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.113 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
2.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.113 * [taylor]: Taking taylor expansion of 0 in y
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [taylor]: Taking taylor expansion of 0 in z
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.114 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
2.115 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.115 * [taylor]: Taking taylor expansion of 0 in z
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.116 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
2.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.118 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.119 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
2.119 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.120 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))
2.121 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))))
2.121 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))) in y
2.121 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
2.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
2.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
2.121 * [taylor]: Taking taylor expansion of 1/3 in y
2.121 * [backup-simplify]: Simplify 1/3 into 1/3
2.121 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.121 * [taylor]: Taking taylor expansion of x in y
2.121 * [backup-simplify]: Simplify x into x
2.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.121 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
2.121 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
2.121 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
2.121 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) in y
2.121 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow z 2))) in y
2.121 * [taylor]: Taking taylor expansion of 1/6 in y
2.121 * [backup-simplify]: Simplify 1/6 into 1/6
2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.121 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.121 * [taylor]: Taking taylor expansion of z in y
2.121 * [backup-simplify]: Simplify z into z
2.121 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.122 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.122 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
2.122 * [taylor]: Taking taylor expansion of 1/6 in y
2.122 * [backup-simplify]: Simplify 1/6 into 1/6
2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.122 * [taylor]: Taking taylor expansion of y in y
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [backup-simplify]: Simplify (* 1 1) into 1
2.122 * [backup-simplify]: Simplify (/ 1 1) into 1
2.122 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow z 2))) into (/ 1/6 (pow z 2))
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.125 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
2.125 * [backup-simplify]: Simplify (+ (/ 1/6 (pow z 2)) 0) into (* 1/6 (/ 1 (pow z 2)))
2.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
2.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
2.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.127 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
2.127 * [backup-simplify]: Simplify (+ 0 0) into 0
2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
2.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
2.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.130 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
2.130 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
2.131 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) (* 1/6 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/6))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))))
2.131 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2)))) in z
2.131 * [taylor]: Taking taylor expansion of 1/6 in z
2.131 * [backup-simplify]: Simplify 1/6 into 1/6
2.131 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))) in z
2.131 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in z
2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in z
2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in z
2.131 * [taylor]: Taking taylor expansion of 1/3 in z
2.131 * [backup-simplify]: Simplify 1/3 into 1/3
2.131 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in z
2.131 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.131 * [taylor]: Taking taylor expansion of x in z
2.131 * [backup-simplify]: Simplify x into x
2.131 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.131 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
2.131 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
2.132 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.132 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.132 * [taylor]: Taking taylor expansion of z in z
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 1 into 1
2.132 * [backup-simplify]: Simplify (* 1 1) into 1
2.132 * [backup-simplify]: Simplify (/ 1 1) into 1
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
2.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
2.135 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
2.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
2.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.139 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.139 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
2.140 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [taylor]: Taking taylor expansion of 0 in z
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.141 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.142 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.142 * [taylor]: Taking taylor expansion of 0 in z
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3)
2.143 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
2.143 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (x y z) around 0
2.143 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
2.143 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
2.143 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
2.143 * [taylor]: Taking taylor expansion of 1/6 in z
2.143 * [backup-simplify]: Simplify 1/6 into 1/6
2.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.143 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.143 * [taylor]: Taking taylor expansion of x in z
2.143 * [backup-simplify]: Simplify x into x
2.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.143 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.143 * [taylor]: Taking taylor expansion of z in z
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 1 into 1
2.144 * [backup-simplify]: Simplify (* 1 1) into 1
2.144 * [backup-simplify]: Simplify (/ 1 1) into 1
2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.144 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.144 * [taylor]: Taking taylor expansion of y in z
2.144 * [backup-simplify]: Simplify y into y
2.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.144 * [backup-simplify]: Simplify (+ 1 0) into 1
2.145 * [backup-simplify]: Simplify (+ 0 1) into 1
2.145 * [backup-simplify]: Simplify (log 1) into 0
2.145 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.145 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
2.145 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.145 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
2.145 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
2.145 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
2.145 * [taylor]: Taking taylor expansion of 1/6 in y
2.145 * [backup-simplify]: Simplify 1/6 into 1/6
2.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.145 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.145 * [taylor]: Taking taylor expansion of x in y
2.145 * [backup-simplify]: Simplify x into x
2.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.146 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.146 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.146 * [taylor]: Taking taylor expansion of z in y
2.146 * [backup-simplify]: Simplify z into z
2.146 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.146 * [taylor]: Taking taylor expansion of y in y
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (* 1 1) into 1
2.147 * [backup-simplify]: Simplify (/ 1 1) into 1
2.147 * [backup-simplify]: Simplify (+ 0 1) into 1
2.147 * [backup-simplify]: Simplify (+ 0 1) into 1
2.147 * [backup-simplify]: Simplify (log 1) into 0
2.148 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.148 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
2.148 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
2.148 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
2.148 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.148 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.148 * [taylor]: Taking taylor expansion of 1/6 in x
2.148 * [backup-simplify]: Simplify 1/6 into 1/6
2.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.148 * [taylor]: Taking taylor expansion of x in x
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (* 1 1) into 1
2.148 * [backup-simplify]: Simplify (/ 1 1) into 1
2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.148 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.149 * [taylor]: Taking taylor expansion of z in x
2.149 * [backup-simplify]: Simplify z into z
2.149 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.149 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.149 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.149 * [taylor]: Taking taylor expansion of y in x
2.149 * [backup-simplify]: Simplify y into y
2.149 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.149 * [backup-simplify]: Simplify (+ 1 0) into 1
2.149 * [backup-simplify]: Simplify (log 1) into 0
2.150 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.150 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
2.150 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.150 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
2.150 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.150 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.150 * [taylor]: Taking taylor expansion of 1/6 in x
2.150 * [backup-simplify]: Simplify 1/6 into 1/6
2.150 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.150 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.150 * [taylor]: Taking taylor expansion of x in x
2.150 * [backup-simplify]: Simplify 0 into 0
2.150 * [backup-simplify]: Simplify 1 into 1
2.150 * [backup-simplify]: Simplify (* 1 1) into 1
2.150 * [backup-simplify]: Simplify (/ 1 1) into 1
2.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.151 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.151 * [taylor]: Taking taylor expansion of z in x
2.151 * [backup-simplify]: Simplify z into z
2.151 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.151 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.151 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.151 * [taylor]: Taking taylor expansion of y in x
2.151 * [backup-simplify]: Simplify y into y
2.151 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.151 * [backup-simplify]: Simplify (+ 1 0) into 1
2.151 * [backup-simplify]: Simplify (log 1) into 0
2.152 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.152 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
2.152 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.152 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
2.152 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
2.152 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
2.152 * [taylor]: Taking taylor expansion of -1/3 in y
2.152 * [backup-simplify]: Simplify -1/3 into -1/3
2.152 * [taylor]: Taking taylor expansion of (log x) in y
2.152 * [taylor]: Taking taylor expansion of x in y
2.152 * [backup-simplify]: Simplify x into x
2.152 * [backup-simplify]: Simplify (log x) into (log x)
2.152 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
2.152 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.152 * [taylor]: Taking taylor expansion of (pow x -1/3) in z
2.152 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in z
2.152 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in z
2.152 * [taylor]: Taking taylor expansion of -1/3 in z
2.152 * [backup-simplify]: Simplify -1/3 into -1/3
2.152 * [taylor]: Taking taylor expansion of (log x) in z
2.152 * [taylor]: Taking taylor expansion of x in z
2.152 * [backup-simplify]: Simplify x into x
2.152 * [backup-simplify]: Simplify (log x) into (log x)
2.152 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
2.152 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.153 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
2.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.155 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.155 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
2.155 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.156 * [taylor]: Taking taylor expansion of 0 in y
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [taylor]: Taking taylor expansion of 0 in z
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.156 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
2.157 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.157 * [taylor]: Taking taylor expansion of 0 in z
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.158 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
2.158 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.158 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.160 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
2.161 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.162 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))
2.163 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))))
2.163 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2))))) in y
2.163 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
2.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
2.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
2.163 * [taylor]: Taking taylor expansion of 1/3 in y
2.163 * [backup-simplify]: Simplify 1/3 into 1/3
2.163 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
2.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.163 * [taylor]: Taking taylor expansion of x in y
2.163 * [backup-simplify]: Simplify x into x
2.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.163 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
2.163 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
2.163 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
2.163 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow z 2))) (* 1/6 (/ 1 (pow y 2)))) in y
2.163 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow z 2))) in y
2.163 * [taylor]: Taking taylor expansion of 1/6 in y
2.163 * [backup-simplify]: Simplify 1/6 into 1/6
2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.163 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.163 * [taylor]: Taking taylor expansion of z in y
2.163 * [backup-simplify]: Simplify z into z
2.163 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.164 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.164 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
2.164 * [taylor]: Taking taylor expansion of 1/6 in y
2.164 * [backup-simplify]: Simplify 1/6 into 1/6
2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.164 * [taylor]: Taking taylor expansion of y in y
2.164 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify 1 into 1
2.164 * [backup-simplify]: Simplify (* 1 1) into 1
2.164 * [backup-simplify]: Simplify (/ 1 1) into 1
2.164 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow z 2))) into (/ 1/6 (pow z 2))
2.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.167 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
2.167 * [backup-simplify]: Simplify (+ (/ 1/6 (pow z 2)) 0) into (* 1/6 (/ 1 (pow z 2)))
2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
2.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
2.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
2.169 * [backup-simplify]: Simplify (+ 0 0) into 0
2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
2.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
2.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.172 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
2.172 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
2.173 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) (* 1/6 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/6))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))))
2.173 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2)))) in z
2.173 * [taylor]: Taking taylor expansion of 1/6 in z
2.173 * [backup-simplify]: Simplify 1/6 into 1/6
2.173 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow z 2))) in z
2.173 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in z
2.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in z
2.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in z
2.173 * [taylor]: Taking taylor expansion of 1/3 in z
2.173 * [backup-simplify]: Simplify 1/3 into 1/3
2.173 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in z
2.173 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.173 * [taylor]: Taking taylor expansion of x in z
2.173 * [backup-simplify]: Simplify x into x
2.173 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.173 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
2.173 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
2.173 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.173 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.173 * [taylor]: Taking taylor expansion of z in z
2.173 * [backup-simplify]: Simplify 0 into 0
2.173 * [backup-simplify]: Simplify 1 into 1
2.174 * [backup-simplify]: Simplify (* 1 1) into 1
2.174 * [backup-simplify]: Simplify (/ 1 1) into 1
2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
2.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
2.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
2.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
2.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.180 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.181 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
2.181 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
2.181 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [taylor]: Taking taylor expansion of 0 in z
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.183 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.184 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.184 * [taylor]: Taking taylor expansion of 0 in z
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3)
2.184 * * * [progress]: simplifying candidates
2.191 * [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))))
  (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))))
  (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 1/3)
  (exp 1)
  (exp (* (cbrt (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))
  (exp (sqrt (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp 1)
  (exp (log (cbrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))
  (exp (log (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))))))
  (exp (log (cbrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt (sqrt 1))))
  (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (log (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (cbrt 1)))
  (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (log (* (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))
  (exp (log (cbrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (log 1))
  (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (log (cbrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))))
  (exp (log (cbrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))))
  (exp (log (cbrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))))
  (exp (log (cbrt (sqrt (- (+ (* x x) (* y y)) (* z z))))))
  (log (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (exp (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (cbrt (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (cbrt (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))
  (cbrt (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (* (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (sqrt (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (sqrt (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow z 5)) 1/3))) (+ (* 1/6 (* (pow (/ 1 (pow z 5)) 1/3) (pow y 2))) (pow z 1/3)))
  (pow (/ 1 x) -1/3)
  (pow (/ -1 x) -1/3)
2.192 * [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))))
 (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))))
 (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 (/ 1 3))
 (exp 1)
 (exp (* (cbrt (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))) (cbrt (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (exp (sqrt (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp 1)
 (exp (log (cbrt (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (exp (log (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (exp (log (cbrt (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt (sqrt 1))))
 (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (exp (log (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (cbrt 1)))
 (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (exp (log (* (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (exp (log (cbrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (sqrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (sqrt (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log 1))
 (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (exp (log (cbrt (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))))))
 (exp (log (cbrt (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (exp (log (cbrt (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))
 (log (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (* (cbrt (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))) (cbrt (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))))
 (cbrt (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (* (* (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))) (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))))) (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (sqrt (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (sqrt (exp (log (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 h0
 h2
 (* -1 h2)
 h0
 h2
 (* -1 h2)
 h0
 h2
 (* -1 h2)
 (+ (* (/ 1 6) (* (pow h2 2) (pow (/ 1 (pow h0 5)) (/ 1 3)))) (+ (* (/ 1 6) (* (pow (/ 1 (pow h0 5)) (/ 1 3)) (pow h1 2))) (pow h0 (/ 1 3))))
 (pow (/ 1 h2) (/ -1 3))
 (pow (/ -1 h2) (/ -1 3))
2.234 * * * [progress]: adding candidates to table
2.681 * * [progress]: iteration 4 / 4
2.681 * * * [progress]: picking best candidate
2.687 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
2.687 * * * [progress]: localizing error
2.688 * * * [progress]: generating rewritten candidates
2.688 * * * [progress]: generating series expansions
2.688 * * * [progress]: simplifying candidates
2.688 * [simplify]: Simplifying:
  
2.688 * [simplify]: Sending expressions to egg_math:
 
2.689 * * * [progress]: adding candidates to table
2.690 * [progress]: [Phase 3 of 3] Extracting.
2.690 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.691 * * * [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)
2.691 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.727 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) (* -1 x))>)
2.767 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.815 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.847 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)>)
2.869 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.898 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)>)
2.924 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.949 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.968 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
2.997 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
3.017 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
3.053 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
3.088 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
3.132 * * * [regime]: Found split indices: #<option (#s(si 5 49) #s(si 2 212) #s(si 1 255))>
3.133 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
3.213 * [regimes]: Found splitpoints: (#s(sp 5 x -1.8637040731758233e+40) #s(sp 2 x 4.376373199179286e+91) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y z) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))>)
3.213 * [simplify]: Simplifying:
  (if (<= x -1.8637040731758233e+40) (* -1 x) (if (<= x 4.376373199179286e+91) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
3.213 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -1.8637040731758233e+40) (* -1 h0) (if (<= h0 4.376373199179286e+91) (sqrt (+ (+ (* h0 h0) (* h2 h2)) (* h1 h1))) h0))
4.742 * [regime-testing]: Baseline error score: 38.14834025250634
4.745 * [regime-testing]: Oracle error score: 18.213395346926475
4.752 * [regime-testing]: End program error score: 26.20609990240093
4.810 * [regime-testing]: Target error score: 25.444844695718768