255.444 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.028 * * [simplify]: iteration 0: 9 enodes
0.030 * * [simplify]: iteration 1: 13 enodes
0.032 * * [simplify]: iteration 2: 20 enodes
0.036 * * [simplify]: iteration 3: 23 enodes
0.038 * * [simplify]: iteration complete: 23 enodes
0.038 * * [simplify]: Extracting #0: cost 1 inf + 0
0.038 * * [simplify]: Extracting #1: cost 2 inf + 0
0.039 * * [simplify]: Extracting #2: cost 8 inf + 0
0.039 * * [simplify]: Extracting #3: cost 11 inf + 0
0.039 * * [simplify]: Extracting #4: cost 8 inf + 3
0.039 * * [simplify]: Extracting #5: cost 1 inf + 816
0.039 * * [simplify]: Extracting #6: cost 0 inf + 938
0.039 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.044 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.044 * * * [progress]: localizing error
0.059 * * * [progress]: generating rewritten candidates
0.059 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.092 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.098 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.123 * * * [progress]: generating series expansions
0.124 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.124 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.124 * [taylor]: Taking taylor expansion of y in z
0.124 * [backup-simplify]: Simplify y into y
0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.124 * [taylor]: Taking taylor expansion of x in z
0.124 * [backup-simplify]: Simplify x into x
0.124 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.124 * [taylor]: Taking taylor expansion of z in z
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.124 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.124 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.124 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.125 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.126 * [taylor]: Taking taylor expansion of x in y
0.126 * [backup-simplify]: Simplify x into x
0.126 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.126 * [taylor]: Taking taylor expansion of z in y
0.126 * [backup-simplify]: Simplify z into z
0.126 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.126 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.126 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.126 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.126 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.126 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.127 * [taylor]: Taking taylor expansion of y in x
0.127 * [backup-simplify]: Simplify y into y
0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.127 * [taylor]: Taking taylor expansion of x in x
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.127 * [taylor]: Taking taylor expansion of z in x
0.127 * [backup-simplify]: Simplify z into z
0.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.127 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.127 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.128 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.128 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.129 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.129 * [taylor]: Taking taylor expansion of z in x
0.129 * [backup-simplify]: Simplify z into z
0.129 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.129 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.129 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.129 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.129 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.129 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.130 * [taylor]: Taking taylor expansion of z in y
0.130 * [backup-simplify]: Simplify z into z
0.130 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.130 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.130 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.130 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.131 * [taylor]: Taking taylor expansion of z in z
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [taylor]: Taking taylor expansion of 0 in z
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [taylor]: Taking taylor expansion of 0 in z
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.132 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (+ 0 1) into 1
0.133 * [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)))))
0.133 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.133 * [taylor]: Taking taylor expansion of 1/2 in y
0.133 * [backup-simplify]: Simplify 1/2 into 1/2
0.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.133 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.133 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.133 * [taylor]: Taking taylor expansion of y in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.133 * [taylor]: Taking taylor expansion of z in y
0.133 * [backup-simplify]: Simplify z into z
0.133 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.133 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.133 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.134 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.134 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.134 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.134 * [taylor]: Taking taylor expansion of 1/2 in z
0.134 * [backup-simplify]: Simplify 1/2 into 1/2
0.134 * [taylor]: Taking taylor expansion of z in z
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [taylor]: Taking taylor expansion of 0 in z
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.136 * [backup-simplify]: Simplify (+ 1 0) into 1
0.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.136 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.136 * [taylor]: Taking taylor expansion of 1/2 in z
0.136 * [backup-simplify]: Simplify 1/2 into 1/2
0.136 * [taylor]: Taking taylor expansion of z in z
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.138 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.138 * [taylor]: Taking taylor expansion of y in z
0.138 * [backup-simplify]: Simplify y into y
0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.138 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.138 * [taylor]: Taking taylor expansion of x in z
0.138 * [backup-simplify]: Simplify x into x
0.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.138 * [taylor]: Taking taylor expansion of z in z
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ 1 1) into 1
0.139 * [backup-simplify]: Simplify (+ 0 1) into 1
0.140 * [backup-simplify]: Simplify (+ 0 1) into 1
0.140 * [backup-simplify]: Simplify (sqrt 1) into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.142 * [taylor]: Taking taylor expansion of x in y
0.142 * [backup-simplify]: Simplify x into x
0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.142 * [taylor]: Taking taylor expansion of z in y
0.142 * [backup-simplify]: Simplify z into z
0.142 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.142 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.143 * [backup-simplify]: Simplify (+ 1 0) into 1
0.143 * [backup-simplify]: Simplify (sqrt 1) into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.145 * [taylor]: Taking taylor expansion of y in x
0.145 * [backup-simplify]: Simplify y into y
0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.145 * [taylor]: Taking taylor expansion of x in x
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (* 1 1) into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.145 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.145 * [taylor]: Taking taylor expansion of z in x
0.145 * [backup-simplify]: Simplify z into z
0.145 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.145 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.146 * [backup-simplify]: Simplify (+ 1 0) into 1
0.146 * [backup-simplify]: Simplify (+ 0 1) into 1
0.146 * [backup-simplify]: Simplify (sqrt 1) into 1
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.148 * [taylor]: Taking taylor expansion of y in x
0.148 * [backup-simplify]: Simplify y into y
0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.149 * [taylor]: Taking taylor expansion of z in x
0.149 * [backup-simplify]: Simplify z into z
0.149 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.149 * [backup-simplify]: Simplify (+ 1 0) into 1
0.149 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [backup-simplify]: Simplify (sqrt 1) into 1
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.151 * [taylor]: Taking taylor expansion of 1 in y
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [taylor]: Taking taylor expansion of 1 in z
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.153 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.154 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.154 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.154 * [taylor]: Taking taylor expansion of 1/2 in y
0.154 * [backup-simplify]: Simplify 1/2 into 1/2
0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (* 1 1) into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.154 * [taylor]: Taking taylor expansion of z in y
0.155 * [backup-simplify]: Simplify z into z
0.155 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.155 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify (+ 1 0) into 1
0.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.156 * [taylor]: Taking taylor expansion of 0 in z
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [taylor]: Taking taylor expansion of 0 in z
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [taylor]: Taking taylor expansion of 0 in z
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.161 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.161 * [taylor]: Taking taylor expansion of 1/2 in z
0.161 * [backup-simplify]: Simplify 1/2 into 1/2
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.161 * [taylor]: Taking taylor expansion of z in z
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (* 1 1) into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [taylor]: Taking taylor expansion of 0 in z
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [taylor]: Taking taylor expansion of 0 in z
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [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
0.166 * [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 y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.167 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.167 * [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 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) 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 (* (pow z 2) (pow y 2))) in y
0.167 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.167 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.167 * [taylor]: Taking taylor expansion of z in y
0.167 * [backup-simplify]: Simplify z into z
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.167 * [taylor]: Taking taylor expansion of y in y
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.168 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 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 y 4)) in y
0.168 * [taylor]: Taking taylor expansion of (pow y 4) 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 (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 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 z 4)) in y
0.169 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.169 * [taylor]: Taking taylor expansion of z in y
0.169 * [backup-simplify]: Simplify z into z
0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.169 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.170 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 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
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.181 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.181 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.182 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.182 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.185 * [taylor]: Taking taylor expansion of 0 in z
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in z
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in z
0.185 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.188 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.188 * [taylor]: Taking taylor expansion of y in z
0.188 * [backup-simplify]: Simplify y into y
0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.188 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.188 * [taylor]: Taking taylor expansion of x in z
0.188 * [backup-simplify]: Simplify x into x
0.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.188 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [backup-simplify]: Simplify (+ 0 1) into 1
0.189 * [backup-simplify]: Simplify (+ 0 1) into 1
0.190 * [backup-simplify]: Simplify (sqrt 1) into 1
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.191 * [taylor]: Taking taylor expansion of y in y
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.192 * [taylor]: Taking taylor expansion of x in y
0.192 * [backup-simplify]: Simplify x into x
0.192 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.192 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.192 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.192 * [taylor]: Taking taylor expansion of z in y
0.192 * [backup-simplify]: Simplify z into z
0.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.192 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [backup-simplify]: Simplify (sqrt 1) into 1
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.194 * [taylor]: Taking taylor expansion of y in x
0.194 * [backup-simplify]: Simplify y into y
0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.195 * [taylor]: Taking taylor expansion of x in x
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (* 1 1) into 1
0.195 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.195 * [taylor]: Taking taylor expansion of z in x
0.195 * [backup-simplify]: Simplify z into z
0.195 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.196 * [backup-simplify]: Simplify (+ 1 0) into 1
0.196 * [backup-simplify]: Simplify (+ 0 1) into 1
0.196 * [backup-simplify]: Simplify (sqrt 1) into 1
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.198 * [taylor]: Taking taylor expansion of y in x
0.198 * [backup-simplify]: Simplify y into y
0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.198 * [taylor]: Taking taylor expansion of x in x
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.199 * [taylor]: Taking taylor expansion of z in x
0.199 * [backup-simplify]: Simplify z into z
0.199 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.199 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (sqrt 1) into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.201 * [taylor]: Taking taylor expansion of 1 in y
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [taylor]: Taking taylor expansion of 1 in z
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.203 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.204 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.204 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.204 * [taylor]: Taking taylor expansion of 1/2 in y
0.204 * [backup-simplify]: Simplify 1/2 into 1/2
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.204 * [taylor]: Taking taylor expansion of y in y
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (/ 1 1) into 1
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.204 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.204 * [taylor]: Taking taylor expansion of z in y
0.204 * [backup-simplify]: Simplify z into z
0.204 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.206 * [taylor]: Taking taylor expansion of 0 in z
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [taylor]: Taking taylor expansion of 0 in z
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [taylor]: Taking taylor expansion of 0 in z
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.211 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.211 * [taylor]: Taking taylor expansion of 1/2 in z
0.211 * [backup-simplify]: Simplify 1/2 into 1/2
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.211 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.211 * [taylor]: Taking taylor expansion of z in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [taylor]: Taking taylor expansion of 0 in z
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [taylor]: Taking taylor expansion of 0 in z
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.217 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.217 * [taylor]: Taking taylor expansion of -1/2 in y
0.217 * [backup-simplify]: Simplify -1/2 into -1/2
0.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.217 * [taylor]: Taking taylor expansion of 1/2 in y
0.217 * [backup-simplify]: Simplify 1/2 into 1/2
0.217 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.217 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.217 * [taylor]: Taking taylor expansion of z in y
0.217 * [backup-simplify]: Simplify z into z
0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.217 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.217 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.217 * [taylor]: Taking taylor expansion of 1/4 in y
0.217 * [backup-simplify]: Simplify 1/4 into 1/4
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.217 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.218 * [taylor]: Taking taylor expansion of 1/4 in y
0.218 * [backup-simplify]: Simplify 1/4 into 1/4
0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.218 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.218 * [taylor]: Taking taylor expansion of z in y
0.218 * [backup-simplify]: Simplify z into z
0.218 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.218 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.219 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.219 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.228 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.228 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.229 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in z
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [taylor]: Taking taylor expansion of 0 in z
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.233 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.234 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.234 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
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 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.234 * [taylor]: Taking taylor expansion of x in y
0.234 * [backup-simplify]: Simplify x into x
0.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.234 * [taylor]: Taking taylor expansion of y in x
0.234 * [backup-simplify]: Simplify y into y
0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.234 * [taylor]: Taking taylor expansion of x in x
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.234 * [taylor]: Taking taylor expansion of y in x
0.234 * [backup-simplify]: Simplify y into y
0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.234 * [taylor]: Taking taylor expansion of x in x
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.234 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
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 (+ (* y 0) (* 0 y)) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [taylor]: Taking taylor expansion of 0 in y
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ 0 1) into 1
0.236 * [taylor]: Taking taylor expansion of 1 in y
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [taylor]: Taking taylor expansion of 0 in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.241 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.241 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.242 * [taylor]: Taking taylor expansion of x in y
0.242 * [backup-simplify]: Simplify x into x
0.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.242 * [taylor]: Taking taylor expansion of y in x
0.242 * [backup-simplify]: Simplify y into y
0.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.242 * [taylor]: Taking taylor expansion of x in x
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.243 * [taylor]: Taking taylor expansion of y in x
0.243 * [backup-simplify]: Simplify y into y
0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (/ 1 1) into 1
0.244 * [backup-simplify]: Simplify (+ 0 1) into 1
0.244 * [taylor]: Taking taylor expansion of 1 in y
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [taylor]: Taking taylor expansion of 0 in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.246 * [taylor]: Taking taylor expansion of y in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (/ 1 1) into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.253 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.253 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.253 * [taylor]: Taking taylor expansion of y in y
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.254 * [taylor]: Taking taylor expansion of x in y
0.254 * [backup-simplify]: Simplify x into x
0.254 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.254 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.254 * [taylor]: Taking taylor expansion of y in x
0.254 * [backup-simplify]: Simplify y into y
0.254 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.254 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [backup-simplify]: Simplify y into y
0.255 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [backup-simplify]: Simplify (+ 0 1) into 1
0.256 * [taylor]: Taking taylor expansion of 1 in y
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [taylor]: Taking taylor expansion of 0 in y
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.268 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.268 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.268 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
0.268 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.268 * [taylor]: Taking taylor expansion of y in z
0.268 * [backup-simplify]: Simplify y into y
0.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.268 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.268 * [taylor]: Taking taylor expansion of x in z
0.268 * [backup-simplify]: Simplify x into x
0.268 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.268 * [taylor]: Taking taylor expansion of z in z
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.269 * [taylor]: Taking taylor expansion of y in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.269 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.269 * [taylor]: Taking taylor expansion of x in y
0.269 * [backup-simplify]: Simplify x into x
0.269 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.269 * [taylor]: Taking taylor expansion of z in y
0.269 * [backup-simplify]: Simplify z into z
0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.269 * [taylor]: Taking taylor expansion of y in x
0.269 * [backup-simplify]: Simplify y into y
0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.269 * [taylor]: Taking taylor expansion of z in x
0.269 * [backup-simplify]: Simplify z into z
0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.269 * [taylor]: Taking taylor expansion of y in x
0.269 * [backup-simplify]: Simplify y into y
0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.269 * [taylor]: Taking taylor expansion of z in x
0.269 * [backup-simplify]: Simplify z into z
0.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.269 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.270 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.270 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.270 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.270 * [taylor]: Taking taylor expansion of z in y
0.270 * [backup-simplify]: Simplify z into z
0.270 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.270 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.270 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.270 * [taylor]: Taking taylor expansion of z in z
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.271 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [taylor]: Taking taylor expansion of 0 in y
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [taylor]: Taking taylor expansion of 0 in z
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in z
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.276 * [backup-simplify]: Simplify (+ 0 1) into 1
0.276 * [taylor]: Taking taylor expansion of 1 in y
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of 1 in z
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of 0 in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.277 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [taylor]: Taking taylor expansion of 1 in z
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.279 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.279 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.279 * [taylor]: Taking taylor expansion of y in z
0.279 * [backup-simplify]: Simplify y into y
0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.279 * [taylor]: Taking taylor expansion of x in z
0.279 * [backup-simplify]: Simplify x into x
0.279 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.279 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.279 * [taylor]: Taking taylor expansion of z in z
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.280 * [taylor]: Taking taylor expansion of y in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.281 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.281 * [taylor]: Taking taylor expansion of x in y
0.281 * [backup-simplify]: Simplify x into x
0.281 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.281 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.281 * [taylor]: Taking taylor expansion of z in y
0.281 * [backup-simplify]: Simplify z into z
0.281 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.282 * [backup-simplify]: Simplify y into y
0.282 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.283 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.283 * [taylor]: Taking taylor expansion of z in x
0.283 * [backup-simplify]: Simplify z into z
0.283 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.283 * [taylor]: Taking taylor expansion of y in x
0.283 * [backup-simplify]: Simplify y into y
0.283 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.284 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.284 * [taylor]: Taking taylor expansion of z in x
0.284 * [backup-simplify]: Simplify z into z
0.284 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.284 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.285 * [backup-simplify]: Simplify (+ 1 0) into 1
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [taylor]: Taking taylor expansion of 1 in y
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.289 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.290 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.290 * [taylor]: Taking taylor expansion of z in y
0.290 * [backup-simplify]: Simplify z into z
0.290 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.290 * [backup-simplify]: Simplify (+ 1 0) into 1
0.290 * [taylor]: Taking taylor expansion of 1 in z
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [taylor]: Taking taylor expansion of 1 in z
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [taylor]: Taking taylor expansion of 0 in z
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [taylor]: Taking taylor expansion of 0 in z
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [taylor]: Taking taylor expansion of 0 in z
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [taylor]: Taking taylor expansion of 0 in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.301 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.301 * [taylor]: Taking taylor expansion of z in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [taylor]: Taking taylor expansion of 0 in z
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.303 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.303 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.303 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.303 * [taylor]: Taking taylor expansion of y in z
0.303 * [backup-simplify]: Simplify y into y
0.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.303 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.303 * [taylor]: Taking taylor expansion of x in z
0.303 * [backup-simplify]: Simplify x into x
0.304 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.304 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.304 * [taylor]: Taking taylor expansion of z in z
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.305 * [taylor]: Taking taylor expansion of y in y
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.305 * [taylor]: Taking taylor expansion of x in y
0.305 * [backup-simplify]: Simplify x into x
0.305 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.306 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.306 * [taylor]: Taking taylor expansion of z in y
0.306 * [backup-simplify]: Simplify z into z
0.306 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.307 * [taylor]: Taking taylor expansion of z in x
0.307 * [backup-simplify]: Simplify z into z
0.307 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.307 * [taylor]: Taking taylor expansion of y in x
0.307 * [backup-simplify]: Simplify y into y
0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.308 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.308 * [taylor]: Taking taylor expansion of z in x
0.308 * [backup-simplify]: Simplify z into z
0.309 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.309 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.309 * [backup-simplify]: Simplify (+ 1 0) into 1
0.309 * [backup-simplify]: Simplify (+ 0 1) into 1
0.309 * [taylor]: Taking taylor expansion of 1 in y
0.309 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in y
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.313 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.314 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.314 * [taylor]: Taking taylor expansion of z in y
0.314 * [backup-simplify]: Simplify z into z
0.314 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.314 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.315 * [backup-simplify]: Simplify (+ 1 0) into 1
0.315 * [taylor]: Taking taylor expansion of 1 in z
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [taylor]: Taking taylor expansion of 1 in z
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in z
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of 0 in z
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of 0 in z
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in y
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.325 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.325 * [taylor]: Taking taylor expansion of z in z
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of 0 in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [taylor]: Taking taylor expansion of 0 in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.327 * * * [progress]: simplifying candidates
0.327 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.328 * * [simplify]: iteration 0: 74 enodes
0.341 * * [simplify]: iteration 1: 236 enodes
0.435 * * [simplify]: iteration 2: 1301 enodes
0.782 * * [simplify]: iteration complete: 5000 enodes
0.782 * * [simplify]: Extracting #0: cost 40 inf + 0
0.783 * * [simplify]: Extracting #1: cost 335 inf + 4
0.787 * * [simplify]: Extracting #2: cost 1561 inf + 2885
0.795 * * [simplify]: Extracting #3: cost 1916 inf + 30309
0.817 * * [simplify]: Extracting #4: cost 1038 inf + 134073
0.883 * * [simplify]: Extracting #5: cost 192 inf + 332104
0.981 * * [simplify]: Extracting #6: cost 9 inf + 378553
1.068 * * [simplify]: Extracting #7: cost 0 inf + 380950
1.156 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* (* z z) z) (* (* z z) z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (- (- (* z z) (* x x)) (* y y)) (* z z))))
  (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))))
  (sqrt (+ (* x x) (* (+ y z) (- y z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))
  (+ (* (* x x) (* x x)) (* (* y y) (* (+ y x) (- y x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (- x y))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (log (+ (* x x) (+ (* y y) (* z z))))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (cbrt (+ (* x x) (+ (* y y) (* z z))))
  (* (+ (* x x) (+ (* y y) (* z z))) (* (+ (* x x) (+ (* y y) (* z z))) (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (+ (* (* (* z z) z) (* (* z z) z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (- (- (* z z) (* x x)) (* y y)) (* z z)))
  (* (+ (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z)))
  (+ (* x x) (* (+ y z) (- y z)))
  (+ (* z z) (* y y))
  z
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
1.160 * * * [progress]: adding candidates to table
1.449 * * [progress]: iteration 2 / 4
1.449 * * * [progress]: picking best candidate
1.471 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
1.471 * * * [progress]: localizing error
1.497 * * * [progress]: generating rewritten candidates
1.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.572 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
1.746 * * * [progress]: generating series expansions
1.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.746 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.747 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.747 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.747 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.747 * [taylor]: Taking taylor expansion of y in z
1.747 * [backup-simplify]: Simplify y into y
1.747 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.747 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.747 * [taylor]: Taking taylor expansion of x in z
1.747 * [backup-simplify]: Simplify x into x
1.747 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.747 * [taylor]: Taking taylor expansion of z in z
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify 1 into 1
1.747 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.747 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.747 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.747 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.747 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.747 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.747 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.748 * [backup-simplify]: Simplify (+ 0 0) into 0
1.748 * [backup-simplify]: Simplify (+ 0 0) into 0
1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.748 * [taylor]: Taking taylor expansion of y in y
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 1 into 1
1.748 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.748 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.748 * [taylor]: Taking taylor expansion of x in y
1.748 * [backup-simplify]: Simplify x into x
1.749 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.749 * [taylor]: Taking taylor expansion of z in y
1.749 * [backup-simplify]: Simplify z into z
1.749 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.749 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.749 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.749 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.749 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.749 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.749 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.750 * [backup-simplify]: Simplify (+ 0 0) into 0
1.750 * [backup-simplify]: Simplify (+ 0 0) into 0
1.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.750 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.750 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.750 * [taylor]: Taking taylor expansion of y in x
1.750 * [backup-simplify]: Simplify y into y
1.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.750 * [taylor]: Taking taylor expansion of x in x
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 1 into 1
1.750 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.750 * [taylor]: Taking taylor expansion of z in x
1.750 * [backup-simplify]: Simplify z into z
1.750 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.750 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.750 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.751 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.751 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.751 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.751 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.752 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.752 * [taylor]: Taking taylor expansion of x in x
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 1 into 1
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 (* y y) into (pow y 2)
1.752 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.752 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.752 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.752 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.752 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.753 * [backup-simplify]: Simplify (+ 0 0) into 0
1.753 * [backup-simplify]: Simplify (+ 0 0) into 0
1.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.753 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.753 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.753 * [taylor]: Taking taylor expansion of y in y
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify 1 into 1
1.753 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.753 * [taylor]: Taking taylor expansion of z in y
1.753 * [backup-simplify]: Simplify z into z
1.753 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.754 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.754 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.754 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.754 * [backup-simplify]: Simplify (+ 0 0) into 0
1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.754 * [taylor]: Taking taylor expansion of z in z
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [taylor]: Taking taylor expansion of 0 in y
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [taylor]: Taking taylor expansion of 0 in z
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [taylor]: Taking taylor expansion of 0 in z
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.755 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.755 * [backup-simplify]: Simplify (* 1 1) into 1
1.755 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.755 * [backup-simplify]: Simplify (+ 1 0) into 1
1.756 * [backup-simplify]: Simplify (+ 0 1) into 1
1.756 * [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)))))
1.756 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.756 * [taylor]: Taking taylor expansion of 1/2 in y
1.756 * [backup-simplify]: Simplify 1/2 into 1/2
1.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.757 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.757 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.757 * [taylor]: Taking taylor expansion of y in y
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 1 into 1
1.757 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.757 * [taylor]: Taking taylor expansion of z in y
1.757 * [backup-simplify]: Simplify z into z
1.757 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.757 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.757 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.757 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.757 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.758 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.758 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.758 * [taylor]: Taking taylor expansion of 1/2 in z
1.758 * [backup-simplify]: Simplify 1/2 into 1/2
1.758 * [taylor]: Taking taylor expansion of z in z
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 1 into 1
1.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [taylor]: Taking taylor expansion of 0 in z
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (* 1 1) into 1
1.759 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.760 * [backup-simplify]: Simplify (+ 1 0) into 1
1.760 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.760 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.760 * [taylor]: Taking taylor expansion of 1/2 in z
1.760 * [backup-simplify]: Simplify 1/2 into 1/2
1.760 * [taylor]: Taking taylor expansion of z in z
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.761 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.762 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.762 * [taylor]: Taking taylor expansion of y in z
1.762 * [backup-simplify]: Simplify y into y
1.762 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.762 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.762 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.762 * [taylor]: Taking taylor expansion of x in z
1.762 * [backup-simplify]: Simplify x into x
1.762 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.762 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.762 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.762 * [taylor]: Taking taylor expansion of z in z
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify 1 into 1
1.762 * [backup-simplify]: Simplify (* 1 1) into 1
1.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1.763 * [backup-simplify]: Simplify (+ 0 1) into 1
1.763 * [backup-simplify]: Simplify (+ 0 1) into 1
1.763 * [backup-simplify]: Simplify (sqrt 1) into 1
1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (sqrt 1))) into 0
1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.765 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.765 * [taylor]: Taking taylor expansion of y in y
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [backup-simplify]: Simplify (* 1 1) into 1
1.766 * [backup-simplify]: Simplify (/ 1 1) into 1
1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.766 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.766 * [taylor]: Taking taylor expansion of x in y
1.766 * [backup-simplify]: Simplify x into x
1.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.766 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.766 * [taylor]: Taking taylor expansion of z in y
1.766 * [backup-simplify]: Simplify z into z
1.766 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.766 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.766 * [backup-simplify]: Simplify (+ 1 0) into 1
1.767 * [backup-simplify]: Simplify (sqrt 1) into 1
1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.768 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.768 * [taylor]: Taking taylor expansion of y in x
1.768 * [backup-simplify]: Simplify y into y
1.768 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.768 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.768 * [taylor]: Taking taylor expansion of x in x
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.769 * [backup-simplify]: Simplify (* 1 1) into 1
1.769 * [backup-simplify]: Simplify (/ 1 1) into 1
1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.769 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.769 * [taylor]: Taking taylor expansion of z in x
1.769 * [backup-simplify]: Simplify z into z
1.769 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.769 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.769 * [backup-simplify]: Simplify (+ 1 0) into 1
1.770 * [backup-simplify]: Simplify (+ 0 1) into 1
1.770 * [backup-simplify]: Simplify (sqrt 1) into 1
1.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.772 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.772 * [taylor]: Taking taylor expansion of y in x
1.772 * [backup-simplify]: Simplify y into y
1.772 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.772 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.772 * [taylor]: Taking taylor expansion of x in x
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.772 * [backup-simplify]: Simplify (* 1 1) into 1
1.772 * [backup-simplify]: Simplify (/ 1 1) into 1
1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.772 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.772 * [taylor]: Taking taylor expansion of z in x
1.772 * [backup-simplify]: Simplify z into z
1.772 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.773 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.773 * [backup-simplify]: Simplify (+ 1 0) into 1
1.773 * [backup-simplify]: Simplify (+ 0 1) into 1
1.773 * [backup-simplify]: Simplify (sqrt 1) into 1
1.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.775 * [backup-simplify]: Simplify (+ 0 0) into 0
1.775 * [backup-simplify]: Simplify (+ 0 0) into 0
1.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.776 * [taylor]: Taking taylor expansion of 1 in y
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [taylor]: Taking taylor expansion of 0 in y
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [taylor]: Taking taylor expansion of 1 in z
1.776 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.778 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.778 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.779 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
1.779 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.779 * [taylor]: Taking taylor expansion of 1/2 in y
1.779 * [backup-simplify]: Simplify 1/2 into 1/2
1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.779 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.779 * [taylor]: Taking taylor expansion of y in y
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 1 into 1
1.780 * [backup-simplify]: Simplify (* 1 1) into 1
1.780 * [backup-simplify]: Simplify (/ 1 1) into 1
1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.780 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.780 * [taylor]: Taking taylor expansion of z in y
1.780 * [backup-simplify]: Simplify z into z
1.780 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.780 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify (+ 0 0) into 0
1.781 * [backup-simplify]: Simplify (+ 1 0) into 1
1.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.782 * [taylor]: Taking taylor expansion of 0 in z
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [taylor]: Taking taylor expansion of 0 in z
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [taylor]: Taking taylor expansion of 0 in z
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify 1 into 1
1.782 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) 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 (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.785 * [taylor]: Taking taylor expansion of 0 in y
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.786 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.786 * [taylor]: Taking taylor expansion of 1/2 in z
1.786 * [backup-simplify]: Simplify 1/2 into 1/2
1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.786 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.786 * [taylor]: Taking taylor expansion of z in z
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 1 into 1
1.787 * [backup-simplify]: Simplify (* 1 1) into 1
1.787 * [backup-simplify]: Simplify (/ 1 1) into 1
1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
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 * [taylor]: Taking taylor expansion of 0 in z
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.793 * [backup-simplify]: Simplify (+ 0 0) into 0
1.794 * [backup-simplify]: Simplify (+ 0 0) into 0
1.795 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
1.795 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
1.795 * [taylor]: Taking taylor expansion of -1/2 in y
1.795 * [backup-simplify]: Simplify -1/2 into -1/2
1.795 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
1.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.795 * [taylor]: Taking taylor expansion of 1/2 in y
1.795 * [backup-simplify]: Simplify 1/2 into 1/2
1.795 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.795 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.795 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.795 * [taylor]: Taking taylor expansion of z in y
1.795 * [backup-simplify]: Simplify z into z
1.795 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.795 * [taylor]: Taking taylor expansion of y in y
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 1 into 1
1.795 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.796 * [backup-simplify]: Simplify (* 1 1) into 1
1.796 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.796 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.796 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.796 * [taylor]: Taking taylor expansion of 1/4 in y
1.796 * [backup-simplify]: Simplify 1/4 into 1/4
1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.796 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.796 * [taylor]: Taking taylor expansion of y in y
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify 1 into 1
1.797 * [backup-simplify]: Simplify (* 1 1) into 1
1.797 * [backup-simplify]: Simplify (* 1 1) into 1
1.797 * [backup-simplify]: Simplify (/ 1 1) into 1
1.797 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.797 * [taylor]: Taking taylor expansion of 1/4 in y
1.797 * [backup-simplify]: Simplify 1/4 into 1/4
1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.797 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.797 * [taylor]: Taking taylor expansion of z in y
1.797 * [backup-simplify]: Simplify z into z
1.797 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.798 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.798 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.798 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.799 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.808 * [backup-simplify]: Simplify (+ 0 0) into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.809 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.810 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.812 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.812 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.812 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.813 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.813 * [taylor]: Taking taylor expansion of 0 in z
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [taylor]: Taking taylor expansion of 0 in z
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.814 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.815 * [taylor]: Taking taylor expansion of 0 in z
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in z
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in z
1.815 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.817 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.817 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.818 * [taylor]: Taking taylor expansion of y in z
1.818 * [backup-simplify]: Simplify y into y
1.818 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.818 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.818 * [taylor]: Taking taylor expansion of x in z
1.818 * [backup-simplify]: Simplify x into x
1.818 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.818 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.818 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.818 * [taylor]: Taking taylor expansion of z in z
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 1 into 1
1.818 * [backup-simplify]: Simplify (* 1 1) into 1
1.818 * [backup-simplify]: Simplify (/ 1 1) into 1
1.819 * [backup-simplify]: Simplify (+ 0 1) into 1
1.819 * [backup-simplify]: Simplify (+ 0 1) into 1
1.819 * [backup-simplify]: Simplify (sqrt 1) into 1
1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.821 * [taylor]: Taking taylor expansion of y in y
1.821 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify 1 into 1
1.821 * [backup-simplify]: Simplify (* 1 1) into 1
1.821 * [backup-simplify]: Simplify (/ 1 1) into 1
1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.821 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.822 * [taylor]: Taking taylor expansion of x in y
1.822 * [backup-simplify]: Simplify x into x
1.822 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.822 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.822 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.822 * [taylor]: Taking taylor expansion of z in y
1.822 * [backup-simplify]: Simplify z into z
1.822 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.822 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.822 * [backup-simplify]: Simplify (+ 1 0) into 1
1.822 * [backup-simplify]: Simplify (sqrt 1) into 1
1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.823 * [backup-simplify]: Simplify (+ 0 0) into 0
1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.824 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.824 * [taylor]: Taking taylor expansion of y in x
1.824 * [backup-simplify]: Simplify y into y
1.824 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.824 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.824 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.824 * [taylor]: Taking taylor expansion of x in x
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 1 into 1
1.824 * [backup-simplify]: Simplify (* 1 1) into 1
1.825 * [backup-simplify]: Simplify (/ 1 1) into 1
1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.825 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.825 * [taylor]: Taking taylor expansion of z in x
1.825 * [backup-simplify]: Simplify z into z
1.825 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.825 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.825 * [backup-simplify]: Simplify (+ 1 0) into 1
1.825 * [backup-simplify]: Simplify (+ 0 1) into 1
1.826 * [backup-simplify]: Simplify (sqrt 1) into 1
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.827 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.828 * [taylor]: Taking taylor expansion of y in x
1.828 * [backup-simplify]: Simplify y into y
1.828 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.828 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.828 * [taylor]: Taking taylor expansion of x in x
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 1 into 1
1.828 * [backup-simplify]: Simplify (* 1 1) into 1
1.828 * [backup-simplify]: Simplify (/ 1 1) into 1
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.828 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.828 * [taylor]: Taking taylor expansion of z in x
1.828 * [backup-simplify]: Simplify z into z
1.828 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.829 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.829 * [backup-simplify]: Simplify (+ 1 0) into 1
1.829 * [backup-simplify]: Simplify (+ 0 1) into 1
1.830 * [backup-simplify]: Simplify (sqrt 1) into 1
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ 0 0) into 0
1.831 * [backup-simplify]: Simplify (+ 0 0) into 0
1.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.831 * [taylor]: Taking taylor expansion of 1 in y
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [taylor]: Taking taylor expansion of 0 in y
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [taylor]: Taking taylor expansion of 1 in z
1.831 * [backup-simplify]: Simplify 1 into 1
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.833 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.833 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.834 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
1.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.834 * [taylor]: Taking taylor expansion of 1/2 in y
1.834 * [backup-simplify]: Simplify 1/2 into 1/2
1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.834 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.834 * [taylor]: Taking taylor expansion of y in y
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 1 into 1
1.834 * [backup-simplify]: Simplify (* 1 1) into 1
1.834 * [backup-simplify]: Simplify (/ 1 1) into 1
1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.834 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.835 * [taylor]: Taking taylor expansion of z in y
1.835 * [backup-simplify]: Simplify z into z
1.835 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.835 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [backup-simplify]: Simplify (+ 1 0) into 1
1.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.837 * [taylor]: Taking taylor expansion of 0 in z
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [taylor]: Taking taylor expansion of 0 in z
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [taylor]: Taking taylor expansion of 0 in z
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.837 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.838 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.839 * [taylor]: Taking taylor expansion of 0 in y
1.839 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.841 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.841 * [taylor]: Taking taylor expansion of 1/2 in z
1.841 * [backup-simplify]: Simplify 1/2 into 1/2
1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.841 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.841 * [taylor]: Taking taylor expansion of z in z
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (* 1 1) into 1
1.842 * [backup-simplify]: Simplify (/ 1 1) into 1
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
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
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.845 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
1.847 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
1.847 * [taylor]: Taking taylor expansion of -1/2 in y
1.847 * [backup-simplify]: Simplify -1/2 into -1/2
1.847 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.847 * [taylor]: Taking taylor expansion of 1/2 in y
1.847 * [backup-simplify]: Simplify 1/2 into 1/2
1.847 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.847 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.847 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.847 * [taylor]: Taking taylor expansion of z in y
1.847 * [backup-simplify]: Simplify z into z
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
1.847 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.847 * [backup-simplify]: Simplify (* 1 1) into 1
1.848 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.848 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.848 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.848 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.848 * [taylor]: Taking taylor expansion of 1/4 in y
1.848 * [backup-simplify]: Simplify 1/4 into 1/4
1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.848 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.848 * [taylor]: Taking taylor expansion of y in y
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 1 into 1
1.848 * [backup-simplify]: Simplify (* 1 1) into 1
1.848 * [backup-simplify]: Simplify (* 1 1) into 1
1.849 * [backup-simplify]: Simplify (/ 1 1) into 1
1.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.849 * [taylor]: Taking taylor expansion of 1/4 in y
1.849 * [backup-simplify]: Simplify 1/4 into 1/4
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.849 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.849 * [taylor]: Taking taylor expansion of z in y
1.849 * [backup-simplify]: Simplify z into z
1.849 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.849 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.849 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.849 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.850 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.855 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1.856 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.857 * [backup-simplify]: Simplify (+ 0 0) into 0
1.857 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.858 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.859 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.860 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.860 * [taylor]: Taking taylor expansion of 0 in z
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [taylor]: Taking taylor expansion of 0 in z
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.862 * [taylor]: Taking taylor expansion of 0 in z
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [taylor]: Taking taylor expansion of 0 in z
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [taylor]: Taking taylor expansion of 0 in z
1.862 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.864 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.864 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.864 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.864 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.864 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.864 * [taylor]: Taking taylor expansion of y in z
1.864 * [backup-simplify]: Simplify y into y
1.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.864 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.864 * [taylor]: Taking taylor expansion of x in z
1.864 * [backup-simplify]: Simplify x into x
1.864 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.864 * [taylor]: Taking taylor expansion of z in z
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.865 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.865 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.865 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.865 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.865 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.866 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.866 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.866 * [taylor]: Taking taylor expansion of y in y
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.866 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.866 * [taylor]: Taking taylor expansion of x in y
1.866 * [backup-simplify]: Simplify x into x
1.866 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.866 * [taylor]: Taking taylor expansion of z in y
1.866 * [backup-simplify]: Simplify z into z
1.866 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.866 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.866 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.866 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.866 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.867 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.867 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.867 * [backup-simplify]: Simplify (+ 0 0) into 0
1.867 * [backup-simplify]: Simplify (+ 0 0) into 0
1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.867 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.867 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.867 * [taylor]: Taking taylor expansion of y in x
1.867 * [backup-simplify]: Simplify y into y
1.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.867 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.867 * [taylor]: Taking taylor expansion of x in x
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.867 * [taylor]: Taking taylor expansion of z in x
1.867 * [backup-simplify]: Simplify z into z
1.868 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.868 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.868 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.868 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.868 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.868 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.868 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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
1.869 * [backup-simplify]: Simplify y into y
1.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.869 * [taylor]: Taking taylor expansion of x in x
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 1 into 1
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 (* y y) into (pow y 2)
1.869 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.869 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.869 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.869 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.869 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.869 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.870 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.870 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.870 * [taylor]: Taking taylor expansion of y in y
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.870 * [taylor]: Taking taylor expansion of z in y
1.870 * [backup-simplify]: Simplify z into z
1.870 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.870 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.871 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.871 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.871 * [taylor]: Taking taylor expansion of z in z
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 1 into 1
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [taylor]: Taking taylor expansion of 0 in y
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [taylor]: Taking taylor expansion of 0 in z
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [taylor]: Taking taylor expansion of 0 in z
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.872 * [backup-simplify]: Simplify (* 1 1) into 1
1.872 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.872 * [backup-simplify]: Simplify (+ 1 0) into 1
1.873 * [backup-simplify]: Simplify (+ 0 1) into 1
1.873 * [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)))))
1.873 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.873 * [taylor]: Taking taylor expansion of 1/2 in y
1.873 * [backup-simplify]: Simplify 1/2 into 1/2
1.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.873 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.873 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.873 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.873 * [taylor]: Taking taylor expansion of y in y
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.873 * [taylor]: Taking taylor expansion of z in y
1.873 * [backup-simplify]: Simplify z into z
1.873 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.874 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.874 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.874 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.874 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.874 * [backup-simplify]: Simplify (+ 0 0) into 0
1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.874 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.874 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.874 * [taylor]: Taking taylor expansion of 1/2 in z
1.874 * [backup-simplify]: Simplify 1/2 into 1/2
1.874 * [taylor]: Taking taylor expansion of z in z
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [taylor]: Taking taylor expansion of 0 in z
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify (* 1 1) into 1
1.876 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.876 * [backup-simplify]: Simplify (+ 1 0) into 1
1.877 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.877 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.877 * [taylor]: Taking taylor expansion of 1/2 in z
1.877 * [backup-simplify]: Simplify 1/2 into 1/2
1.877 * [taylor]: Taking taylor expansion of z in z
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.878 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.879 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.879 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.879 * [taylor]: Taking taylor expansion of y in z
1.879 * [backup-simplify]: Simplify y into y
1.879 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.879 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.879 * [taylor]: Taking taylor expansion of x in z
1.879 * [backup-simplify]: Simplify x into x
1.879 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.879 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.879 * [taylor]: Taking taylor expansion of z in z
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (/ 1 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.882 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.882 * [taylor]: Taking taylor expansion of y in y
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [backup-simplify]: Simplify (* 1 1) into 1
1.883 * [backup-simplify]: Simplify (/ 1 1) into 1
1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.883 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.883 * [taylor]: Taking taylor expansion of x in y
1.883 * [backup-simplify]: Simplify x into x
1.883 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.883 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.883 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.883 * [taylor]: Taking taylor expansion of z in y
1.883 * [backup-simplify]: Simplify z into z
1.883 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.883 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.883 * [backup-simplify]: Simplify (+ 1 0) into 1
1.884 * [backup-simplify]: Simplify (sqrt 1) into 1
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.885 * [taylor]: Taking taylor expansion of y in x
1.885 * [backup-simplify]: Simplify y into y
1.885 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.885 * [taylor]: Taking taylor expansion of x in x
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (* 1 1) into 1
1.886 * [backup-simplify]: Simplify (/ 1 1) into 1
1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.886 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.886 * [taylor]: Taking taylor expansion of z in x
1.886 * [backup-simplify]: Simplify z into z
1.886 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.886 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.886 * [backup-simplify]: Simplify (+ 1 0) into 1
1.888 * [backup-simplify]: Simplify (+ 0 1) into 1
1.888 * [backup-simplify]: Simplify (sqrt 1) into 1
1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (* 2 (sqrt 1))) into 0
1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.890 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.890 * [taylor]: Taking taylor expansion of y in x
1.890 * [backup-simplify]: Simplify y into y
1.890 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.890 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.890 * [taylor]: Taking taylor expansion of x in x
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (* 1 1) into 1
1.891 * [backup-simplify]: Simplify (/ 1 1) into 1
1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.891 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.891 * [taylor]: Taking taylor expansion of z in x
1.891 * [backup-simplify]: Simplify z into z
1.891 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.891 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.891 * [backup-simplify]: Simplify (+ 1 0) into 1
1.891 * [backup-simplify]: Simplify (+ 0 1) into 1
1.892 * [backup-simplify]: Simplify (sqrt 1) into 1
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.894 * [taylor]: Taking taylor expansion of 1 in y
1.894 * [backup-simplify]: Simplify 1 into 1
1.894 * [taylor]: Taking taylor expansion of 0 in y
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [taylor]: Taking taylor expansion of 1 in z
1.894 * [backup-simplify]: Simplify 1 into 1
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.895 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.896 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
1.896 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.896 * [taylor]: Taking taylor expansion of 1/2 in y
1.896 * [backup-simplify]: Simplify 1/2 into 1/2
1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.896 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.896 * [taylor]: Taking taylor expansion of y in y
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 1 into 1
1.896 * [backup-simplify]: Simplify (* 1 1) into 1
1.897 * [backup-simplify]: Simplify (/ 1 1) into 1
1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.897 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.897 * [taylor]: Taking taylor expansion of z in y
1.897 * [backup-simplify]: Simplify z into z
1.897 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.897 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (+ 1 0) into 1
1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.899 * [taylor]: Taking taylor expansion of 0 in z
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [taylor]: Taking taylor expansion of 0 in z
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [taylor]: Taking taylor expansion of 0 in z
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 1 into 1
1.899 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.901 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.901 * [taylor]: Taking taylor expansion of 0 in y
1.901 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.903 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.903 * [taylor]: Taking taylor expansion of 1/2 in z
1.903 * [backup-simplify]: Simplify 1/2 into 1/2
1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.903 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.903 * [taylor]: Taking taylor expansion of z in z
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (* 1 1) into 1
1.904 * [backup-simplify]: Simplify (/ 1 1) into 1
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [taylor]: Taking taylor expansion of 0 in z
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [taylor]: Taking taylor expansion of 0 in z
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ 0 0) into 0
1.908 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
1.909 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
1.909 * [taylor]: Taking taylor expansion of -1/2 in y
1.909 * [backup-simplify]: Simplify -1/2 into -1/2
1.909 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
1.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.909 * [taylor]: Taking taylor expansion of 1/2 in y
1.909 * [backup-simplify]: Simplify 1/2 into 1/2
1.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.909 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.909 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.909 * [taylor]: Taking taylor expansion of z in y
1.909 * [backup-simplify]: Simplify z into z
1.909 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.909 * [taylor]: Taking taylor expansion of y in y
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 1 into 1
1.909 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.910 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.910 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.910 * [taylor]: Taking taylor expansion of 1/4 in y
1.910 * [backup-simplify]: Simplify 1/4 into 1/4
1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.910 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.910 * [taylor]: Taking taylor expansion of y in y
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.911 * [backup-simplify]: Simplify (* 1 1) into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.911 * [taylor]: Taking taylor expansion of 1/4 in y
1.911 * [backup-simplify]: Simplify 1/4 into 1/4
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.911 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.911 * [taylor]: Taking taylor expansion of z in y
1.911 * [backup-simplify]: Simplify z into z
1.911 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.911 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.911 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.912 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.912 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 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 (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.921 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.921 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.922 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.922 * [taylor]: Taking taylor expansion of 0 in z
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [taylor]: Taking taylor expansion of 0 in z
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.924 * [taylor]: Taking taylor expansion of 0 in z
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [taylor]: Taking taylor expansion of 0 in z
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [taylor]: Taking taylor expansion of 0 in z
1.924 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.926 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.926 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.926 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.926 * [taylor]: Taking taylor expansion of y in z
1.926 * [backup-simplify]: Simplify y into y
1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.927 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.927 * [taylor]: Taking taylor expansion of x in z
1.927 * [backup-simplify]: Simplify x into x
1.927 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.927 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.927 * [taylor]: Taking taylor expansion of z in z
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify (* 1 1) into 1
1.927 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ 0 1) into 1
1.928 * [backup-simplify]: Simplify (+ 0 1) into 1
1.928 * [backup-simplify]: Simplify (sqrt 1) into 1
1.929 * [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 0) into 0
1.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.930 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.930 * [taylor]: Taking taylor expansion of y in y
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [backup-simplify]: Simplify (* 1 1) into 1
1.930 * [backup-simplify]: Simplify (/ 1 1) into 1
1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.931 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.931 * [taylor]: Taking taylor expansion of x in y
1.931 * [backup-simplify]: Simplify x into x
1.931 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.931 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.931 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.931 * [taylor]: Taking taylor expansion of z in y
1.931 * [backup-simplify]: Simplify z into z
1.931 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.931 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.932 * [backup-simplify]: Simplify (+ 1 0) into 1
1.932 * [backup-simplify]: Simplify (sqrt 1) into 1
1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ 0 0) into 0
1.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.935 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.935 * [taylor]: Taking taylor expansion of y in x
1.935 * [backup-simplify]: Simplify y into y
1.935 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.935 * [taylor]: Taking taylor expansion of x in x
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (* 1 1) into 1
1.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.936 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.936 * [taylor]: Taking taylor expansion of z in x
1.936 * [backup-simplify]: Simplify z into z
1.936 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.936 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.936 * [backup-simplify]: Simplify (+ 1 0) into 1
1.937 * [backup-simplify]: Simplify (+ 0 1) into 1
1.937 * [backup-simplify]: Simplify (sqrt 1) into 1
1.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (* 2 (sqrt 1))) into 0
1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.940 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.940 * [taylor]: Taking taylor expansion of y in x
1.940 * [backup-simplify]: Simplify y into y
1.940 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.940 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.940 * [taylor]: Taking taylor expansion of x in x
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (* 1 1) into 1
1.941 * [backup-simplify]: Simplify (/ 1 1) into 1
1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.941 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.941 * [taylor]: Taking taylor expansion of z in x
1.941 * [backup-simplify]: Simplify z into z
1.941 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.942 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.942 * [backup-simplify]: Simplify (+ 1 0) into 1
1.942 * [backup-simplify]: Simplify (+ 0 1) into 1
1.943 * [backup-simplify]: Simplify (sqrt 1) into 1
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.944 * [taylor]: Taking taylor expansion of 1 in y
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [taylor]: Taking taylor expansion of 0 in y
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [taylor]: Taking taylor expansion of 1 in z
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.946 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.947 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
1.947 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.947 * [taylor]: Taking taylor expansion of 1/2 in y
1.947 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.947 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.947 * [taylor]: Taking taylor expansion of y in y
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (* 1 1) into 1
1.948 * [backup-simplify]: Simplify (/ 1 1) into 1
1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.948 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.948 * [taylor]: Taking taylor expansion of z in y
1.948 * [backup-simplify]: Simplify z into z
1.948 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.948 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (+ 1 0) into 1
1.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.950 * [taylor]: Taking taylor expansion of 0 in z
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [taylor]: Taking taylor expansion of 0 in z
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [taylor]: Taking taylor expansion of 0 in z
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 1 into 1
1.950 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.952 * [taylor]: Taking taylor expansion of 0 in y
1.952 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.954 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.954 * [taylor]: Taking taylor expansion of 1/2 in z
1.954 * [backup-simplify]: Simplify 1/2 into 1/2
1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.954 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.954 * [taylor]: Taking taylor expansion of z in z
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.955 * [backup-simplify]: Simplify (/ 1 1) into 1
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [taylor]: Taking taylor expansion of 0 in z
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [taylor]: Taking taylor expansion of 0 in z
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
1.960 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
1.960 * [taylor]: Taking taylor expansion of -1/2 in y
1.961 * [backup-simplify]: Simplify -1/2 into -1/2
1.961 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
1.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.961 * [taylor]: Taking taylor expansion of 1/2 in y
1.961 * [backup-simplify]: Simplify 1/2 into 1/2
1.961 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.961 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.961 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.961 * [taylor]: Taking taylor expansion of z in y
1.961 * [backup-simplify]: Simplify z into z
1.961 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.961 * [taylor]: Taking taylor expansion of y in y
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.961 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.961 * [backup-simplify]: Simplify (* 1 1) into 1
1.961 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.961 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.961 * [taylor]: Taking taylor expansion of 1/4 in y
1.961 * [backup-simplify]: Simplify 1/4 into 1/4
1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.961 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.961 * [taylor]: Taking taylor expansion of y in y
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (* 1 1) into 1
1.962 * [backup-simplify]: Simplify (* 1 1) into 1
1.962 * [backup-simplify]: Simplify (/ 1 1) into 1
1.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.962 * [taylor]: Taking taylor expansion of 1/4 in y
1.962 * [backup-simplify]: Simplify 1/4 into 1/4
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.962 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.962 * [taylor]: Taking taylor expansion of z in y
1.962 * [backup-simplify]: Simplify z into z
1.962 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.962 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.963 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.963 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.964 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 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 (* 1/4 1) into 1/4
1.975 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.975 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.976 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.976 * [taylor]: Taking taylor expansion of 0 in z
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [taylor]: Taking taylor expansion of 0 in z
1.976 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.978 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.979 * [backup-simplify]: Simplify (+ 0 0) into 0
1.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.980 * [taylor]: Taking taylor expansion of 0 in z
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [taylor]: Taking taylor expansion of 0 in z
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [taylor]: Taking taylor expansion of 0 in z
1.980 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.983 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.983 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.983 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.983 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.983 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.983 * [taylor]: Taking taylor expansion of y in z
1.983 * [backup-simplify]: Simplify y into y
1.983 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.983 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.983 * [taylor]: Taking taylor expansion of x in z
1.984 * [backup-simplify]: Simplify x into x
1.984 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.984 * [taylor]: Taking taylor expansion of z in z
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.984 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.984 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.984 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.984 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.984 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.984 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.985 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.986 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.986 * [taylor]: Taking taylor expansion of y in y
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.986 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.986 * [taylor]: Taking taylor expansion of x in y
1.986 * [backup-simplify]: Simplify x into x
1.986 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.986 * [taylor]: Taking taylor expansion of z in y
1.986 * [backup-simplify]: Simplify z into z
1.986 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.986 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.986 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.986 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.987 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.987 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.987 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.988 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.988 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.988 * [taylor]: Taking taylor expansion of y in x
1.988 * [backup-simplify]: Simplify y into y
1.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.988 * [taylor]: Taking taylor expansion of x in x
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.988 * [taylor]: Taking taylor expansion of z in x
1.988 * [backup-simplify]: Simplify z into z
1.988 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.988 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.988 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.989 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.989 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.989 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.989 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.992 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.992 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.992 * [taylor]: Taking taylor expansion of y in x
1.992 * [backup-simplify]: Simplify y into y
1.992 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.992 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.992 * [taylor]: Taking taylor expansion of x in x
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.992 * [taylor]: Taking taylor expansion of z in x
1.992 * [backup-simplify]: Simplify z into z
1.992 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.992 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.992 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.992 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.993 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.993 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.994 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.994 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.994 * [taylor]: Taking taylor expansion of y in y
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.994 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.994 * [taylor]: Taking taylor expansion of z in y
1.994 * [backup-simplify]: Simplify z into z
1.994 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.994 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.994 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.994 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.995 * [backup-simplify]: Simplify (+ 0 0) into 0
1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.995 * [taylor]: Taking taylor expansion of z in z
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [taylor]: Taking taylor expansion of 0 in y
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [taylor]: Taking taylor expansion of 0 in z
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [taylor]: Taking taylor expansion of 0 in z
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.996 * [backup-simplify]: Simplify (* 1 1) into 1
1.996 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.996 * [backup-simplify]: Simplify (+ 1 0) into 1
1.996 * [backup-simplify]: Simplify (+ 0 1) into 1
1.997 * [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)))))
1.997 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.997 * [taylor]: Taking taylor expansion of 1/2 in y
1.997 * [backup-simplify]: Simplify 1/2 into 1/2
1.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.997 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.997 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.997 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.997 * [taylor]: Taking taylor expansion of y in y
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.997 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.997 * [taylor]: Taking taylor expansion of z in y
1.997 * [backup-simplify]: Simplify z into z
1.997 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.997 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.998 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.998 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.998 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.998 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.998 * [taylor]: Taking taylor expansion of 1/2 in z
1.998 * [backup-simplify]: Simplify 1/2 into 1/2
1.998 * [taylor]: Taking taylor expansion of z in z
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [taylor]: Taking taylor expansion of 0 in z
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.000 * [backup-simplify]: Simplify (+ 1 0) into 1
2.001 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.001 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.001 * [taylor]: Taking taylor expansion of 1/2 in z
2.001 * [backup-simplify]: Simplify 1/2 into 1/2
2.001 * [taylor]: Taking taylor expansion of z in z
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.003 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
2.003 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.003 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.003 * [taylor]: Taking taylor expansion of y in z
2.003 * [backup-simplify]: Simplify y into y
2.003 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.003 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.003 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.003 * [taylor]: Taking taylor expansion of x in z
2.003 * [backup-simplify]: Simplify x into x
2.003 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.004 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.004 * [taylor]: Taking taylor expansion of z in z
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 1 into 1
2.004 * [backup-simplify]: Simplify (* 1 1) into 1
2.004 * [backup-simplify]: Simplify (/ 1 1) into 1
2.005 * [backup-simplify]: Simplify (+ 0 1) into 1
2.005 * [backup-simplify]: Simplify (+ 0 1) into 1
2.006 * [backup-simplify]: Simplify (sqrt 1) into 1
2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.008 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.008 * [taylor]: Taking taylor expansion of y in y
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (* 1 1) into 1
2.009 * [backup-simplify]: Simplify (/ 1 1) into 1
2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.009 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.009 * [taylor]: Taking taylor expansion of x in y
2.009 * [backup-simplify]: Simplify x into x
2.009 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.009 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.009 * [taylor]: Taking taylor expansion of z in y
2.009 * [backup-simplify]: Simplify z into z
2.009 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.009 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.009 * [backup-simplify]: Simplify (+ 1 0) into 1
2.010 * [backup-simplify]: Simplify (sqrt 1) into 1
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 (+ 0 0) into 0
2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.012 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.012 * [taylor]: Taking taylor expansion of y in x
2.012 * [backup-simplify]: Simplify y into y
2.012 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.012 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.012 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.012 * [taylor]: Taking taylor expansion of x in x
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify 1 into 1
2.012 * [backup-simplify]: Simplify (* 1 1) into 1
2.012 * [backup-simplify]: Simplify (/ 1 1) into 1
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.012 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.012 * [taylor]: Taking taylor expansion of z in x
2.012 * [backup-simplify]: Simplify z into z
2.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.013 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.013 * [backup-simplify]: Simplify (+ 1 0) into 1
2.013 * [backup-simplify]: Simplify (+ 0 1) into 1
2.013 * [backup-simplify]: Simplify (sqrt 1) into 1
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.014 * [backup-simplify]: Simplify (+ 0 0) into 0
2.015 * [backup-simplify]: Simplify (+ 0 0) into 0
2.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.015 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.015 * [taylor]: Taking taylor expansion of y in x
2.015 * [backup-simplify]: Simplify y into y
2.015 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.015 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.015 * [taylor]: Taking taylor expansion of x in x
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 1 into 1
2.016 * [backup-simplify]: Simplify (* 1 1) into 1
2.016 * [backup-simplify]: Simplify (/ 1 1) into 1
2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.016 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.016 * [taylor]: Taking taylor expansion of z in x
2.016 * [backup-simplify]: Simplify z into z
2.016 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.016 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.016 * [backup-simplify]: Simplify (+ 1 0) into 1
2.017 * [backup-simplify]: Simplify (+ 0 1) into 1
2.017 * [backup-simplify]: Simplify (sqrt 1) into 1
2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.018 * [backup-simplify]: Simplify (+ 0 0) into 0
2.018 * [backup-simplify]: Simplify (+ 0 0) into 0
2.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.019 * [taylor]: Taking taylor expansion of 1 in y
2.019 * [backup-simplify]: Simplify 1 into 1
2.019 * [taylor]: Taking taylor expansion of 0 in y
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [taylor]: Taking taylor expansion of 1 in z
2.019 * [backup-simplify]: Simplify 1 into 1
2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.020 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.021 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
2.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.021 * [taylor]: Taking taylor expansion of 1/2 in y
2.021 * [backup-simplify]: Simplify 1/2 into 1/2
2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.021 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.021 * [taylor]: Taking taylor expansion of y in y
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [backup-simplify]: Simplify (* 1 1) into 1
2.022 * [backup-simplify]: Simplify (/ 1 1) into 1
2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.022 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.022 * [taylor]: Taking taylor expansion of z in y
2.022 * [backup-simplify]: Simplify z into z
2.022 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.022 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 0) into 0
2.023 * [backup-simplify]: Simplify (+ 1 0) into 1
2.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.024 * [taylor]: Taking taylor expansion of 0 in z
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [taylor]: Taking taylor expansion of 0 in z
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [taylor]: Taking taylor expansion of 0 in z
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.025 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.026 * [backup-simplify]: Simplify (+ 0 0) into 0
2.026 * [backup-simplify]: Simplify (+ 0 0) into 0
2.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.026 * [taylor]: Taking taylor expansion of 0 in y
2.026 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.028 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.028 * [taylor]: Taking taylor expansion of 1/2 in z
2.028 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.028 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.028 * [taylor]: Taking taylor expansion of z in z
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [taylor]: Taking taylor expansion of 0 in z
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [taylor]: Taking taylor expansion of 0 in z
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.032 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
2.034 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
2.034 * [taylor]: Taking taylor expansion of -1/2 in y
2.034 * [backup-simplify]: Simplify -1/2 into -1/2
2.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
2.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.034 * [taylor]: Taking taylor expansion of 1/2 in y
2.034 * [backup-simplify]: Simplify 1/2 into 1/2
2.034 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.034 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.034 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.034 * [taylor]: Taking taylor expansion of z in y
2.034 * [backup-simplify]: Simplify z into z
2.034 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.034 * [taylor]: Taking taylor expansion of y in y
2.034 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.035 * [backup-simplify]: Simplify (* 1 1) into 1
2.035 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.035 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.035 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.035 * [taylor]: Taking taylor expansion of 1/4 in y
2.035 * [backup-simplify]: Simplify 1/4 into 1/4
2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.035 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.035 * [taylor]: Taking taylor expansion of y in y
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (* 1 1) into 1
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.036 * [backup-simplify]: Simplify (/ 1 1) into 1
2.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.036 * [taylor]: Taking taylor expansion of 1/4 in y
2.036 * [backup-simplify]: Simplify 1/4 into 1/4
2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.036 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.036 * [taylor]: Taking taylor expansion of z in y
2.036 * [backup-simplify]: Simplify z into z
2.036 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.036 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.036 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.037 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.037 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.044 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.045 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.046 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.046 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.047 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.048 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.049 * [taylor]: Taking taylor expansion of 0 in z
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [taylor]: Taking taylor expansion of 0 in z
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [taylor]: Taking taylor expansion of 0 in z
2.049 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.052 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
2.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.052 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.052 * [taylor]: Taking taylor expansion of y in z
2.052 * [backup-simplify]: Simplify y into y
2.052 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.052 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.052 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.052 * [taylor]: Taking taylor expansion of x in z
2.052 * [backup-simplify]: Simplify x into x
2.052 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.052 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.052 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.052 * [taylor]: Taking taylor expansion of z in z
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (* 1 1) into 1
2.053 * [backup-simplify]: Simplify (/ 1 1) into 1
2.053 * [backup-simplify]: Simplify (+ 0 1) into 1
2.053 * [backup-simplify]: Simplify (+ 0 1) into 1
2.054 * [backup-simplify]: Simplify (sqrt 1) into 1
2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.055 * [taylor]: Taking taylor expansion of y in y
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (* 1 1) into 1
2.056 * [backup-simplify]: Simplify (/ 1 1) into 1
2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.056 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.056 * [taylor]: Taking taylor expansion of x in y
2.056 * [backup-simplify]: Simplify x into x
2.056 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.056 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.056 * [taylor]: Taking taylor expansion of z in y
2.056 * [backup-simplify]: Simplify z into z
2.056 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.056 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.057 * [backup-simplify]: Simplify (+ 1 0) into 1
2.057 * [backup-simplify]: Simplify (sqrt 1) into 1
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ 0 0) into 0
2.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.058 * [taylor]: Taking taylor expansion of y in x
2.058 * [backup-simplify]: Simplify y into y
2.058 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.059 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.059 * [taylor]: Taking taylor expansion of x in x
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 1 into 1
2.059 * [backup-simplify]: Simplify (* 1 1) into 1
2.059 * [backup-simplify]: Simplify (/ 1 1) into 1
2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.059 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.059 * [taylor]: Taking taylor expansion of z in x
2.059 * [backup-simplify]: Simplify z into z
2.059 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.059 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.060 * [backup-simplify]: Simplify (+ 1 0) into 1
2.060 * [backup-simplify]: Simplify (+ 0 1) into 1
2.060 * [backup-simplify]: Simplify (sqrt 1) into 1
2.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (/ 0 (* 2 (sqrt 1))) into 0
2.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.062 * [taylor]: Taking taylor expansion of y in x
2.062 * [backup-simplify]: Simplify y into y
2.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.062 * [taylor]: Taking taylor expansion of x in x
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.063 * [backup-simplify]: Simplify (* 1 1) into 1
2.063 * [backup-simplify]: Simplify (/ 1 1) into 1
2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.063 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.063 * [taylor]: Taking taylor expansion of z in x
2.063 * [backup-simplify]: Simplify z into z
2.063 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.063 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.063 * [backup-simplify]: Simplify (+ 1 0) into 1
2.063 * [backup-simplify]: Simplify (+ 0 1) into 1
2.064 * [backup-simplify]: Simplify (sqrt 1) into 1
2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.065 * [backup-simplify]: Simplify (+ 0 0) into 0
2.065 * [backup-simplify]: Simplify (+ 0 0) into 0
2.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.065 * [taylor]: Taking taylor expansion of 1 in y
2.065 * [backup-simplify]: Simplify 1 into 1
2.065 * [taylor]: Taking taylor expansion of 0 in y
2.066 * [backup-simplify]: Simplify 0 into 0
2.066 * [taylor]: Taking taylor expansion of 1 in z
2.066 * [backup-simplify]: Simplify 1 into 1
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.067 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.068 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
2.068 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.068 * [taylor]: Taking taylor expansion of 1/2 in y
2.068 * [backup-simplify]: Simplify 1/2 into 1/2
2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.068 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.068 * [taylor]: Taking taylor expansion of y in y
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (* 1 1) into 1
2.068 * [backup-simplify]: Simplify (/ 1 1) into 1
2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
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 (* z z) into (pow z 2)
2.069 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.070 * [backup-simplify]: Simplify (+ 0 0) into 0
2.070 * [backup-simplify]: Simplify (+ 1 0) into 1
2.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.070 * [taylor]: Taking taylor expansion of 0 in z
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [taylor]: Taking taylor expansion of 0 in z
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [taylor]: Taking taylor expansion of 0 in z
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [backup-simplify]: Simplify 1 into 1
2.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.073 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.073 * [taylor]: Taking taylor expansion of 0 in y
2.073 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.075 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.075 * [taylor]: Taking taylor expansion of 1/2 in z
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.075 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.075 * [taylor]: Taking taylor expansion of z in z
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (* 1 1) into 1
2.076 * [backup-simplify]: Simplify (/ 1 1) into 1
2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
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 * [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 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.080 * [backup-simplify]: Simplify (+ 0 0) into 0
2.080 * [backup-simplify]: Simplify (+ 0 0) into 0
2.081 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
2.081 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
2.081 * [taylor]: Taking taylor expansion of -1/2 in y
2.081 * [backup-simplify]: Simplify -1/2 into -1/2
2.081 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
2.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.081 * [taylor]: Taking taylor expansion of 1/2 in y
2.081 * [backup-simplify]: Simplify 1/2 into 1/2
2.081 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.081 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.081 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.081 * [taylor]: Taking taylor expansion of z in y
2.081 * [backup-simplify]: Simplify z into z
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.081 * [taylor]: Taking taylor expansion of y in y
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.082 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.082 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.082 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.082 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.082 * [taylor]: Taking taylor expansion of 1/4 in y
2.082 * [backup-simplify]: Simplify 1/4 into 1/4
2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.082 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.082 * [taylor]: Taking taylor expansion of y in y
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.083 * [backup-simplify]: Simplify (/ 1 1) into 1
2.083 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.083 * [taylor]: Taking taylor expansion of 1/4 in y
2.083 * [backup-simplify]: Simplify 1/4 into 1/4
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.083 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.083 * [taylor]: Taking taylor expansion of z in y
2.083 * [backup-simplify]: Simplify z into z
2.083 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.083 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.083 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.084 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.084 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.092 * [backup-simplify]: Simplify (+ 0 0) into 0
2.092 * [backup-simplify]: Simplify (+ 0 0) into 0
2.092 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.093 * [backup-simplify]: Simplify (+ 0 0) into 0
2.093 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.095 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.095 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.096 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.096 * [taylor]: Taking taylor expansion of 0 in z
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [taylor]: Taking taylor expansion of 0 in z
2.096 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.098 * [backup-simplify]: Simplify (+ 0 0) into 0
2.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.099 * [taylor]: Taking taylor expansion of 0 in z
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [taylor]: Taking taylor expansion of 0 in z
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [taylor]: Taking taylor expansion of 0 in z
2.099 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.102 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
2.102 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
2.102 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
2.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.102 * [taylor]: Taking taylor expansion of y in y
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.102 * [taylor]: Taking taylor expansion of x in y
2.102 * [backup-simplify]: Simplify x into x
2.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.102 * [taylor]: Taking taylor expansion of y in x
2.102 * [backup-simplify]: Simplify y into y
2.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.102 * [taylor]: Taking taylor expansion of x in x
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.103 * [taylor]: Taking taylor expansion of y in x
2.103 * [backup-simplify]: Simplify y into y
2.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.103 * [taylor]: Taking taylor expansion of x in x
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.103 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.103 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.103 * [taylor]: Taking taylor expansion of y in y
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.103 * [taylor]: Taking taylor expansion of 0 in y
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.104 * [backup-simplify]: Simplify (* 1 1) into 1
2.105 * [backup-simplify]: Simplify (+ 0 1) into 1
2.105 * [taylor]: Taking taylor expansion of 1 in y
2.105 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify (* 1 1) into 1
2.105 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.107 * [backup-simplify]: Simplify (+ 0 0) into 0
2.107 * [taylor]: Taking taylor expansion of 0 in y
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.109 * [backup-simplify]: Simplify (+ 0 0) into 0
2.109 * [taylor]: Taking taylor expansion of 0 in y
2.109 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
2.110 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.110 * [taylor]: Taking taylor expansion of y in y
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify (* 1 1) into 1
2.111 * [backup-simplify]: Simplify (/ 1 1) into 1
2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.111 * [taylor]: Taking taylor expansion of x in y
2.111 * [backup-simplify]: Simplify x into x
2.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.112 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.112 * [taylor]: Taking taylor expansion of y in x
2.112 * [backup-simplify]: Simplify y into y
2.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.112 * [taylor]: Taking taylor expansion of x in x
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [backup-simplify]: Simplify (* 1 1) into 1
2.113 * [backup-simplify]: Simplify (/ 1 1) into 1
2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.113 * [taylor]: Taking taylor expansion of y in x
2.113 * [backup-simplify]: Simplify y into y
2.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.113 * [taylor]: Taking taylor expansion of x in x
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify (* 1 1) into 1
2.114 * [backup-simplify]: Simplify (/ 1 1) into 1
2.114 * [backup-simplify]: Simplify (+ 0 1) into 1
2.114 * [taylor]: Taking taylor expansion of 1 in y
2.114 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.115 * [backup-simplify]: Simplify (+ 0 0) into 0
2.115 * [taylor]: Taking taylor expansion of 0 in y
2.115 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.117 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.117 * [taylor]: Taking taylor expansion of y in y
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify (* 1 1) into 1
2.118 * [backup-simplify]: Simplify (/ 1 1) into 1
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.120 * [backup-simplify]: Simplify (+ 0 0) into 0
2.120 * [taylor]: Taking taylor expansion of 0 in y
2.120 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify (+ 0 0) into 0
2.124 * [taylor]: Taking taylor expansion of 0 in y
2.124 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
2.126 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.126 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.126 * [taylor]: Taking taylor expansion of y in y
2.127 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ 1 1) into 1
2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.127 * [taylor]: Taking taylor expansion of x in y
2.127 * [backup-simplify]: Simplify x into x
2.127 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.128 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.128 * [taylor]: Taking taylor expansion of y in x
2.128 * [backup-simplify]: Simplify y into y
2.128 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.128 * [taylor]: Taking taylor expansion of x in x
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 1 into 1
2.128 * [backup-simplify]: Simplify (* 1 1) into 1
2.129 * [backup-simplify]: Simplify (/ 1 1) into 1
2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.129 * [taylor]: Taking taylor expansion of y in x
2.129 * [backup-simplify]: Simplify y into y
2.129 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.129 * [taylor]: Taking taylor expansion of x in x
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [backup-simplify]: Simplify (* 1 1) into 1
2.130 * [backup-simplify]: Simplify (/ 1 1) into 1
2.130 * [backup-simplify]: Simplify (+ 0 1) into 1
2.130 * [taylor]: Taking taylor expansion of 1 in y
2.130 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ 0 0) into 0
2.131 * [taylor]: Taking taylor expansion of 0 in y
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.133 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.133 * [taylor]: Taking taylor expansion of y in y
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (* 1 1) into 1
2.134 * [backup-simplify]: Simplify (/ 1 1) into 1
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (+ 0 0) into 0
2.136 * [taylor]: Taking taylor expansion of 0 in y
2.136 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.140 * [backup-simplify]: Simplify (+ 0 0) into 0
2.140 * [taylor]: Taking taylor expansion of 0 in y
2.140 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.143 * * * [progress]: simplifying candidates
2.145 * [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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (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 (sqrt (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 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (* (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)))) (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))))))
  (* (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (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)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
2.150 * * [simplify]: iteration 0: 137 enodes
2.204 * * [simplify]: iteration 1: 345 enodes
2.353 * * [simplify]: iteration 2: 1707 enodes
3.024 * * [simplify]: iteration complete: 5000 enodes
3.024 * * [simplify]: Extracting #0: cost 44 inf + 0
3.025 * * [simplify]: Extracting #1: cost 887 inf + 46
3.029 * * [simplify]: Extracting #2: cost 1528 inf + 1189
3.035 * * [simplify]: Extracting #3: cost 1667 inf + 14941
3.048 * * [simplify]: Extracting #4: cost 1243 inf + 70161
3.090 * * [simplify]: Extracting #5: cost 507 inf + 276009
3.187 * * [simplify]: Extracting #6: cost 87 inf + 418625
3.284 * * [simplify]: Extracting #7: cost 3 inf + 452427
3.380 * * [simplify]: Extracting #8: cost 0 inf + 453366
3.465 * * [simplify]: Extracting #9: cost 0 inf + 453246
3.579 * [simplify]: Simplified to:
  (log (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (exp (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (fabs (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (- (* z z) (* y y)) (* x x)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (log (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (exp (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (fabs (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (- (* z z) (* y y)) (* x x)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (+ (* z z) (* y y)) (* x x))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (* (+ (+ (* z z) (* y y)) (* x x)) (+ (+ (* z z) (* y y)) (* x x)))
  (+ (+ (* z z) (* y y)) (* x x))
  (* (+ (+ (* z z) (* y y)) (* x x)) (+ (+ (* z z) (* y y)) (* x x)))
  2
  (log (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (log (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (exp (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (+ (+ (* z z) (* y y)) (* x x))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (- (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (- (* z z) (* y y)) (* x x)))))) (sqrt (sqrt (+ (* y y) (- (* x x) (* z z))))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (- (- (* z z) (* y y)) (* x x)))))) (sqrt (sqrt (+ (* y y) (- (* x x) (* z z))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  (* (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (* (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (fabs (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  1
  2
  1/2
  1
  1/2
  (* (* (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (* (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (fabs (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (* (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (sqrt (fabs (cbrt (+ (+ (* z z) (* y y)) (* x x))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (* (cbrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))) (sqrt (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (* (sqrt (sqrt (cbrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (* (sqrt (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (* (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (* (+ (+ (* z z) (* y y)) (* x x)) (+ (* y y) (- (* x x) (* z z)))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (* (sqrt (sqrt (* (+ (+ (* z z) (* y y)) (* x x)) (+ (* y y) (- (* x x) (* z z)))))) (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x)))))
  (exp (+ (* y y) (* x x)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))
  (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.593 * * * [progress]: adding candidates to table
4.158 * * [progress]: iteration 3 / 4
4.158 * * * [progress]: picking best candidate
4.172 * * * * [pick]: Picked  #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))>
4.172 * * * [progress]: localizing error
4.201 * * * [progress]: generating rewritten candidates
4.201 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
4.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
4.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
4.434 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1)
4.460 * * * [progress]: generating series expansions
4.460 * * * * [progress]: [ 1 / 4 ] generating series at (2)
4.460 * [backup-simplify]: Simplify (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
4.460 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (z y x) around 0
4.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
4.461 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
4.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.461 * [taylor]: Taking taylor expansion of y in x
4.461 * [backup-simplify]: Simplify y into y
4.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
4.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.461 * [taylor]: Taking taylor expansion of x in x
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.461 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.461 * [taylor]: Taking taylor expansion of z in x
4.461 * [backup-simplify]: Simplify z into z
4.461 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.461 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.461 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
4.461 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
4.461 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
4.461 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.462 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.462 * [backup-simplify]: Simplify (+ 0 0) into 0
4.462 * [backup-simplify]: Simplify (+ 0 0) into 0
4.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
4.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
4.463 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
4.463 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.463 * [taylor]: Taking taylor expansion of y in y
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 1 into 1
4.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
4.463 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.463 * [taylor]: Taking taylor expansion of x in y
4.463 * [backup-simplify]: Simplify x into x
4.463 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.463 * [taylor]: Taking taylor expansion of z in y
4.463 * [backup-simplify]: Simplify z into z
4.463 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.463 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.463 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
4.464 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
4.464 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
4.464 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.464 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.464 * [backup-simplify]: Simplify (+ 0 0) into 0
4.465 * [backup-simplify]: Simplify (+ 0 0) into 0
4.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
4.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
4.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.465 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.465 * [taylor]: Taking taylor expansion of y in z
4.465 * [backup-simplify]: Simplify y into y
4.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.465 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.465 * [taylor]: Taking taylor expansion of x in z
4.465 * [backup-simplify]: Simplify x into x
4.465 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.465 * [taylor]: Taking taylor expansion of z in z
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.465 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.465 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.466 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.466 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
4.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.466 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.466 * [backup-simplify]: Simplify (+ 0 0) into 0
4.467 * [backup-simplify]: Simplify (+ 0 0) into 0
4.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
4.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
4.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.467 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.467 * [taylor]: Taking taylor expansion of y in z
4.467 * [backup-simplify]: Simplify y into y
4.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.467 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.467 * [taylor]: Taking taylor expansion of x in z
4.467 * [backup-simplify]: Simplify x into x
4.467 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.467 * [taylor]: Taking taylor expansion of z in z
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.467 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.467 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.468 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.468 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
4.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.468 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.469 * [backup-simplify]: Simplify (+ 0 0) into 0
4.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
4.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.469 * [taylor]: Taking taylor expansion of y in y
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify 1 into 1
4.469 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.469 * [taylor]: Taking taylor expansion of x in y
4.469 * [backup-simplify]: Simplify x into x
4.469 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.469 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.470 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.470 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.470 * [backup-simplify]: Simplify (+ 0 0) into 0
4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.470 * [taylor]: Taking taylor expansion of x in x
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [taylor]: Taking taylor expansion of 0 in y
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [taylor]: Taking taylor expansion of 0 in x
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [taylor]: Taking taylor expansion of 0 in x
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.471 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.472 * [backup-simplify]: Simplify (* 1 1) into 1
4.472 * [backup-simplify]: Simplify (+ 0 1) into 1
4.472 * [backup-simplify]: Simplify (+ 0 1) into 1
4.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2)))))
4.473 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) in y
4.473 * [taylor]: Taking taylor expansion of 1/2 in y
4.473 * [backup-simplify]: Simplify 1/2 into 1/2
4.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
4.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
4.473 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.473 * [taylor]: Taking taylor expansion of y in y
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.473 * [taylor]: Taking taylor expansion of x in y
4.473 * [backup-simplify]: Simplify x into x
4.473 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.474 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.474 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
4.474 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
4.475 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
4.475 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.475 * [taylor]: Taking taylor expansion of 1/2 in x
4.475 * [backup-simplify]: Simplify 1/2 into 1/2
4.475 * [taylor]: Taking taylor expansion of x in x
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify 0 into 0
4.476 * [taylor]: Taking taylor expansion of 0 in x
4.476 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify (* 1 1) into 1
4.477 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.477 * [backup-simplify]: Simplify (+ 1 0) into 1
4.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
4.478 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.478 * [taylor]: Taking taylor expansion of 1/2 in x
4.478 * [backup-simplify]: Simplify 1/2 into 1/2
4.478 * [taylor]: Taking taylor expansion of x in x
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
4.480 * [backup-simplify]: Simplify (cbrt (* (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) (sqrt (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
4.480 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (z y x) around 0
4.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.481 * [taylor]: Taking taylor expansion of y in x
4.481 * [backup-simplify]: Simplify y into y
4.481 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.481 * [taylor]: Taking taylor expansion of x in x
4.481 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify 1 into 1
4.481 * [backup-simplify]: Simplify (* 1 1) into 1
4.482 * [backup-simplify]: Simplify (/ 1 1) into 1
4.482 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.482 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.482 * [taylor]: Taking taylor expansion of z in x
4.482 * [backup-simplify]: Simplify z into z
4.482 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.482 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.482 * [backup-simplify]: Simplify (+ 1 0) into 1
4.483 * [backup-simplify]: Simplify (+ 0 1) into 1
4.483 * [backup-simplify]: Simplify (sqrt 1) into 1
4.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.485 * [backup-simplify]: Simplify (+ 0 0) into 0
4.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.485 * [taylor]: Taking taylor expansion of y in y
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (* 1 1) into 1
4.486 * [backup-simplify]: Simplify (/ 1 1) into 1
4.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.486 * [taylor]: Taking taylor expansion of x in y
4.486 * [backup-simplify]: Simplify x into x
4.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.486 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.486 * [taylor]: Taking taylor expansion of z in y
4.486 * [backup-simplify]: Simplify z into z
4.487 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.487 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.487 * [backup-simplify]: Simplify (+ 1 0) into 1
4.487 * [backup-simplify]: Simplify (sqrt 1) into 1
4.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify (+ 0 0) into 0
4.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.489 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.489 * [taylor]: Taking taylor expansion of y in z
4.490 * [backup-simplify]: Simplify y into y
4.490 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.490 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.490 * [taylor]: Taking taylor expansion of x in z
4.490 * [backup-simplify]: Simplify x into x
4.490 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.490 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.490 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.490 * [taylor]: Taking taylor expansion of z in z
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.490 * [backup-simplify]: Simplify (* 1 1) into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [backup-simplify]: Simplify (+ 0 1) into 1
4.491 * [backup-simplify]: Simplify (+ 0 1) into 1
4.492 * [backup-simplify]: Simplify (sqrt 1) into 1
4.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.493 * [backup-simplify]: Simplify (+ 0 0) into 0
4.493 * [backup-simplify]: Simplify (+ 0 0) into 0
4.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.494 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.494 * [taylor]: Taking taylor expansion of y in z
4.494 * [backup-simplify]: Simplify y into y
4.494 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.494 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.494 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.495 * [taylor]: Taking taylor expansion of x in z
4.495 * [backup-simplify]: Simplify x into x
4.495 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.495 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.495 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.495 * [taylor]: Taking taylor expansion of z in z
4.495 * [backup-simplify]: Simplify 0 into 0
4.495 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (* 1 1) into 1
4.496 * [backup-simplify]: Simplify (/ 1 1) into 1
4.496 * [backup-simplify]: Simplify (+ 0 1) into 1
4.496 * [backup-simplify]: Simplify (+ 0 1) into 1
4.497 * [backup-simplify]: Simplify (sqrt 1) into 1
4.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.498 * [backup-simplify]: Simplify (+ 0 0) into 0
4.498 * [backup-simplify]: Simplify (+ 0 0) into 0
4.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.499 * [taylor]: Taking taylor expansion of 1 in y
4.499 * [backup-simplify]: Simplify 1 into 1
4.499 * [taylor]: Taking taylor expansion of 0 in y
4.499 * [backup-simplify]: Simplify 0 into 0
4.499 * [taylor]: Taking taylor expansion of 1 in x
4.499 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.501 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.501 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.503 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.503 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.503 * [taylor]: Taking taylor expansion of 1/2 in y
4.503 * [backup-simplify]: Simplify 1/2 into 1/2
4.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.503 * [taylor]: Taking taylor expansion of y in y
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 1 into 1
4.503 * [backup-simplify]: Simplify (* 1 1) into 1
4.504 * [backup-simplify]: Simplify (/ 1 1) into 1
4.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.504 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.504 * [taylor]: Taking taylor expansion of x in y
4.504 * [backup-simplify]: Simplify x into x
4.504 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (+ 0 0) into 0
4.506 * [backup-simplify]: Simplify (+ 1 0) into 1
4.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.506 * [taylor]: Taking taylor expansion of 0 in x
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [taylor]: Taking taylor expansion of 0 in x
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [taylor]: Taking taylor expansion of 0 in x
4.507 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.507 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (+ 0 0) into 0
4.510 * [backup-simplify]: Simplify (+ 0 0) into 0
4.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
4.510 * [taylor]: Taking taylor expansion of 0 in y
4.510 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.513 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
4.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
4.513 * [taylor]: Taking taylor expansion of 1/2 in x
4.513 * [backup-simplify]: Simplify 1/2 into 1/2
4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.513 * [taylor]: Taking taylor expansion of x in x
4.513 * [backup-simplify]: Simplify 0 into 0
4.513 * [backup-simplify]: Simplify 1 into 1
4.513 * [backup-simplify]: Simplify (* 1 1) into 1
4.514 * [backup-simplify]: Simplify (/ 1 1) into 1
4.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [taylor]: Taking taylor expansion of 0 in x
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [taylor]: Taking taylor expansion of 0 in x
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.517 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.520 * [backup-simplify]: Simplify (+ 0 0) into 0
4.520 * [backup-simplify]: Simplify (+ 0 0) into 0
4.522 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
4.522 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
4.522 * [taylor]: Taking taylor expansion of -1/2 in y
4.522 * [backup-simplify]: Simplify -1/2 into -1/2
4.522 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
4.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.522 * [taylor]: Taking taylor expansion of 1/2 in y
4.522 * [backup-simplify]: Simplify 1/2 into 1/2
4.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.522 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.522 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.522 * [taylor]: Taking taylor expansion of x in y
4.522 * [backup-simplify]: Simplify x into x
4.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.522 * [taylor]: Taking taylor expansion of y in y
4.522 * [backup-simplify]: Simplify 0 into 0
4.522 * [backup-simplify]: Simplify 1 into 1
4.522 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.523 * [backup-simplify]: Simplify (* 1 1) into 1
4.523 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.523 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.523 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
4.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
4.523 * [taylor]: Taking taylor expansion of 1/4 in y
4.523 * [backup-simplify]: Simplify 1/4 into 1/4
4.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.523 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.523 * [taylor]: Taking taylor expansion of y in y
4.523 * [backup-simplify]: Simplify 0 into 0
4.523 * [backup-simplify]: Simplify 1 into 1
4.524 * [backup-simplify]: Simplify (* 1 1) into 1
4.524 * [backup-simplify]: Simplify (* 1 1) into 1
4.524 * [backup-simplify]: Simplify (/ 1 1) into 1
4.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
4.525 * [taylor]: Taking taylor expansion of 1/4 in y
4.525 * [backup-simplify]: Simplify 1/4 into 1/4
4.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.525 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.525 * [taylor]: Taking taylor expansion of x in y
4.525 * [backup-simplify]: Simplify x into x
4.525 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.525 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.525 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.526 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.526 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
4.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.536 * [backup-simplify]: Simplify (+ 0 0) into 0
4.536 * [backup-simplify]: Simplify (+ 0 0) into 0
4.537 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
4.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.538 * [backup-simplify]: Simplify (+ 0 0) into 0
4.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
4.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.539 * [backup-simplify]: Simplify (+ 0 0) into 0
4.539 * [backup-simplify]: Simplify (+ 0 0) into 0
4.540 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.540 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.540 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.541 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.542 * [taylor]: Taking taylor expansion of 0 in x
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [taylor]: Taking taylor expansion of 0 in x
4.542 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.543 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.544 * [backup-simplify]: Simplify (+ 0 0) into 0
4.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
4.545 * [taylor]: Taking taylor expansion of 0 in x
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [taylor]: Taking taylor expansion of 0 in x
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [taylor]: Taking taylor expansion of 0 in x
4.545 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
4.548 * [backup-simplify]: Simplify (cbrt (* (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) (sqrt (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
4.548 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (z y x) around 0
4.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.548 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.548 * [taylor]: Taking taylor expansion of y in x
4.548 * [backup-simplify]: Simplify y into y
4.548 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.548 * [taylor]: Taking taylor expansion of x in x
4.548 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify 1 into 1
4.549 * [backup-simplify]: Simplify (* 1 1) into 1
4.549 * [backup-simplify]: Simplify (/ 1 1) into 1
4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.549 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.549 * [taylor]: Taking taylor expansion of z in x
4.549 * [backup-simplify]: Simplify z into z
4.549 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.549 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.549 * [backup-simplify]: Simplify (+ 1 0) into 1
4.550 * [backup-simplify]: Simplify (+ 0 1) into 1
4.550 * [backup-simplify]: Simplify (sqrt 1) into 1
4.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.552 * [backup-simplify]: Simplify (+ 0 0) into 0
4.552 * [backup-simplify]: Simplify (+ 0 0) into 0
4.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.553 * [taylor]: Taking taylor expansion of y in y
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify 1 into 1
4.553 * [backup-simplify]: Simplify (* 1 1) into 1
4.553 * [backup-simplify]: Simplify (/ 1 1) into 1
4.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.553 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.553 * [taylor]: Taking taylor expansion of x in y
4.553 * [backup-simplify]: Simplify x into x
4.554 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.554 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.554 * [taylor]: Taking taylor expansion of z in y
4.554 * [backup-simplify]: Simplify z into z
4.554 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.554 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.554 * [backup-simplify]: Simplify (+ 1 0) into 1
4.555 * [backup-simplify]: Simplify (sqrt 1) into 1
4.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.556 * [backup-simplify]: Simplify (+ 0 0) into 0
4.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.557 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.557 * [taylor]: Taking taylor expansion of y in z
4.557 * [backup-simplify]: Simplify y into y
4.557 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.557 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.557 * [taylor]: Taking taylor expansion of x in z
4.557 * [backup-simplify]: Simplify x into x
4.557 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.557 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.557 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.557 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.557 * [taylor]: Taking taylor expansion of z in z
4.557 * [backup-simplify]: Simplify 0 into 0
4.557 * [backup-simplify]: Simplify 1 into 1
4.558 * [backup-simplify]: Simplify (* 1 1) into 1
4.558 * [backup-simplify]: Simplify (/ 1 1) into 1
4.558 * [backup-simplify]: Simplify (+ 0 1) into 1
4.559 * [backup-simplify]: Simplify (+ 0 1) into 1
4.561 * [backup-simplify]: Simplify (sqrt 1) into 1
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.564 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.564 * [taylor]: Taking taylor expansion of y in z
4.564 * [backup-simplify]: Simplify y into y
4.564 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.564 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.564 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.564 * [taylor]: Taking taylor expansion of x in z
4.564 * [backup-simplify]: Simplify x into x
4.564 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.564 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.564 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.564 * [taylor]: Taking taylor expansion of z in z
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 1 into 1
4.565 * [backup-simplify]: Simplify (* 1 1) into 1
4.565 * [backup-simplify]: Simplify (/ 1 1) into 1
4.565 * [backup-simplify]: Simplify (+ 0 1) into 1
4.566 * [backup-simplify]: Simplify (+ 0 1) into 1
4.566 * [backup-simplify]: Simplify (sqrt 1) into 1
4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.568 * [backup-simplify]: Simplify (+ 0 0) into 0
4.568 * [backup-simplify]: Simplify (+ 0 0) into 0
4.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.569 * [taylor]: Taking taylor expansion of 1 in y
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of 0 in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [taylor]: Taking taylor expansion of 1 in x
4.569 * [backup-simplify]: Simplify 1 into 1
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.571 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.572 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.572 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.572 * [taylor]: Taking taylor expansion of 1/2 in y
4.572 * [backup-simplify]: Simplify 1/2 into 1/2
4.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.572 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.572 * [taylor]: Taking taylor expansion of y in y
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (* 1 1) into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.573 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.573 * [taylor]: Taking taylor expansion of x in y
4.573 * [backup-simplify]: Simplify x into x
4.573 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (+ 0 0) into 0
4.575 * [backup-simplify]: Simplify (+ 1 0) into 1
4.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.576 * [taylor]: Taking taylor expansion of 0 in x
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [taylor]: Taking taylor expansion of 0 in x
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [taylor]: Taking taylor expansion of 0 in x
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.577 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.579 * [backup-simplify]: Simplify (+ 0 0) into 0
4.579 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
4.580 * [taylor]: Taking taylor expansion of 0 in y
4.580 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.583 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
4.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
4.583 * [taylor]: Taking taylor expansion of 1/2 in x
4.583 * [backup-simplify]: Simplify 1/2 into 1/2
4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.583 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.583 * [taylor]: Taking taylor expansion of x in x
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.583 * [backup-simplify]: Simplify (* 1 1) into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [taylor]: Taking taylor expansion of 0 in x
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [taylor]: Taking taylor expansion of 0 in x
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.586 * [backup-simplify]: Simplify 0 into 0
4.586 * [backup-simplify]: Simplify 0 into 0
4.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.587 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (+ 0 0) into 0
4.590 * [backup-simplify]: Simplify (+ 0 0) into 0
4.591 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
4.591 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
4.591 * [taylor]: Taking taylor expansion of -1/2 in y
4.591 * [backup-simplify]: Simplify -1/2 into -1/2
4.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
4.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.591 * [taylor]: Taking taylor expansion of 1/2 in y
4.591 * [backup-simplify]: Simplify 1/2 into 1/2
4.591 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.591 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.591 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.591 * [taylor]: Taking taylor expansion of x in y
4.592 * [backup-simplify]: Simplify x into x
4.592 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.592 * [taylor]: Taking taylor expansion of y in y
4.592 * [backup-simplify]: Simplify 0 into 0
4.592 * [backup-simplify]: Simplify 1 into 1
4.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.592 * [backup-simplify]: Simplify (* 1 1) into 1
4.592 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.592 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
4.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
4.592 * [taylor]: Taking taylor expansion of 1/4 in y
4.592 * [backup-simplify]: Simplify 1/4 into 1/4
4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.592 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.592 * [taylor]: Taking taylor expansion of y in y
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 1 into 1
4.593 * [backup-simplify]: Simplify (* 1 1) into 1
4.593 * [backup-simplify]: Simplify (* 1 1) into 1
4.594 * [backup-simplify]: Simplify (/ 1 1) into 1
4.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
4.594 * [taylor]: Taking taylor expansion of 1/4 in y
4.594 * [backup-simplify]: Simplify 1/4 into 1/4
4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.594 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.594 * [taylor]: Taking taylor expansion of x in y
4.594 * [backup-simplify]: Simplify x into x
4.594 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.594 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.594 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.595 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.595 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (+ 0 0) into 0
4.605 * [backup-simplify]: Simplify (+ 0 0) into 0
4.605 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
4.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.606 * [backup-simplify]: Simplify (+ 0 0) into 0
4.606 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
4.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.608 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.608 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.608 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.610 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.610 * [taylor]: Taking taylor expansion of 0 in x
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in x
4.610 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.611 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.612 * [backup-simplify]: Simplify (+ 0 0) into 0
4.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
4.613 * [taylor]: Taking taylor expansion of 0 in x
4.613 * [backup-simplify]: Simplify 0 into 0
4.613 * [taylor]: Taking taylor expansion of 0 in x
4.613 * [backup-simplify]: Simplify 0 into 0
4.613 * [taylor]: Taking taylor expansion of 0 in x
4.613 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
4.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
4.616 * [backup-simplify]: Simplify (sqrt (+ (+ (* z z) (* y y)) (* x x))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
4.616 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (z y x) around 0
4.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
4.616 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
4.616 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.616 * [taylor]: Taking taylor expansion of y in x
4.616 * [backup-simplify]: Simplify y into y
4.616 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
4.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.616 * [taylor]: Taking taylor expansion of x in x
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 1 into 1
4.616 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.616 * [taylor]: Taking taylor expansion of z in x
4.616 * [backup-simplify]: Simplify z into z
4.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.616 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.616 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
4.616 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
4.616 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
4.617 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.617 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.617 * [backup-simplify]: Simplify (+ 0 0) into 0
4.617 * [backup-simplify]: Simplify (+ 0 0) into 0
4.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
4.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
4.617 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
4.617 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.617 * [taylor]: Taking taylor expansion of y in y
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 1 into 1
4.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
4.617 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.617 * [taylor]: Taking taylor expansion of x in y
4.617 * [backup-simplify]: Simplify x into x
4.617 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.617 * [taylor]: Taking taylor expansion of z in y
4.617 * [backup-simplify]: Simplify z into z
4.618 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.618 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.618 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
4.618 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
4.618 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
4.618 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.618 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.618 * [backup-simplify]: Simplify (+ 0 0) into 0
4.619 * [backup-simplify]: Simplify (+ 0 0) into 0
4.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
4.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
4.619 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.619 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.619 * [taylor]: Taking taylor expansion of y in z
4.619 * [backup-simplify]: Simplify y into y
4.619 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.619 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.619 * [taylor]: Taking taylor expansion of x in z
4.619 * [backup-simplify]: Simplify x into x
4.619 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.619 * [taylor]: Taking taylor expansion of z in z
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 1 into 1
4.619 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.619 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.619 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.619 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.619 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
4.620 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.620 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.620 * [backup-simplify]: Simplify (+ 0 0) into 0
4.620 * [backup-simplify]: Simplify (+ 0 0) into 0
4.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
4.620 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
4.620 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.620 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.620 * [taylor]: Taking taylor expansion of y in z
4.620 * [backup-simplify]: Simplify y into y
4.620 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.620 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.620 * [taylor]: Taking taylor expansion of x in z
4.620 * [backup-simplify]: Simplify x into x
4.620 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.620 * [taylor]: Taking taylor expansion of z in z
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 1 into 1
4.620 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.621 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.621 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.621 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.621 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
4.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.621 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.621 * [backup-simplify]: Simplify (+ 0 0) into 0
4.621 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
4.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.622 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.622 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.622 * [taylor]: Taking taylor expansion of y in y
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 1 into 1
4.622 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.622 * [taylor]: Taking taylor expansion of x in y
4.622 * [backup-simplify]: Simplify x into x
4.622 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.622 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.622 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.622 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.622 * [taylor]: Taking taylor expansion of x in x
4.622 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [taylor]: Taking taylor expansion of 0 in y
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [taylor]: Taking taylor expansion of 0 in x
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [taylor]: Taking taylor expansion of 0 in x
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.623 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.624 * [backup-simplify]: Simplify (* 1 1) into 1
4.624 * [backup-simplify]: Simplify (+ 0 1) into 1
4.624 * [backup-simplify]: Simplify (+ 0 1) into 1
4.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2)))))
4.625 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) in y
4.625 * [taylor]: Taking taylor expansion of 1/2 in y
4.625 * [backup-simplify]: Simplify 1/2 into 1/2
4.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
4.625 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
4.625 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.625 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.625 * [taylor]: Taking taylor expansion of y in y
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.625 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.625 * [taylor]: Taking taylor expansion of x in y
4.625 * [backup-simplify]: Simplify x into x
4.625 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.625 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.625 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
4.626 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.626 * [backup-simplify]: Simplify (+ 0 0) into 0
4.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
4.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
4.626 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.626 * [taylor]: Taking taylor expansion of 1/2 in x
4.626 * [backup-simplify]: Simplify 1/2 into 1/2
4.626 * [taylor]: Taking taylor expansion of x in x
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [taylor]: Taking taylor expansion of 0 in x
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify (* 1 1) into 1
4.628 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.628 * [backup-simplify]: Simplify (+ 1 0) into 1
4.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
4.628 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
4.628 * [taylor]: Taking taylor expansion of 1/2 in x
4.628 * [backup-simplify]: Simplify 1/2 into 1/2
4.628 * [taylor]: Taking taylor expansion of x in x
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
4.630 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
4.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (z y x) around 0
4.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.630 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.630 * [taylor]: Taking taylor expansion of y in x
4.630 * [backup-simplify]: Simplify y into y
4.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.630 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.630 * [taylor]: Taking taylor expansion of x in x
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (/ 1 1) into 1
4.631 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.631 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.631 * [taylor]: Taking taylor expansion of z in x
4.631 * [backup-simplify]: Simplify z into z
4.631 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.631 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.631 * [backup-simplify]: Simplify (+ 1 0) into 1
4.631 * [backup-simplify]: Simplify (+ 0 1) into 1
4.632 * [backup-simplify]: Simplify (sqrt 1) into 1
4.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.633 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.633 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.633 * [taylor]: Taking taylor expansion of y in y
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 1 into 1
4.634 * [backup-simplify]: Simplify (* 1 1) into 1
4.634 * [backup-simplify]: Simplify (/ 1 1) into 1
4.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.634 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [backup-simplify]: Simplify x into x
4.634 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.634 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.634 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.634 * [taylor]: Taking taylor expansion of z in y
4.634 * [backup-simplify]: Simplify z into z
4.634 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.634 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.635 * [backup-simplify]: Simplify (+ 1 0) into 1
4.635 * [backup-simplify]: Simplify (sqrt 1) into 1
4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.636 * [backup-simplify]: Simplify (+ 0 0) into 0
4.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.636 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.636 * [taylor]: Taking taylor expansion of y in z
4.636 * [backup-simplify]: Simplify y into y
4.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.637 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.637 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.637 * [taylor]: Taking taylor expansion of x in z
4.637 * [backup-simplify]: Simplify x into x
4.637 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.637 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.637 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.637 * [taylor]: Taking taylor expansion of z in z
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify (* 1 1) into 1
4.637 * [backup-simplify]: Simplify (/ 1 1) into 1
4.638 * [backup-simplify]: Simplify (+ 0 1) into 1
4.638 * [backup-simplify]: Simplify (+ 0 1) into 1
4.638 * [backup-simplify]: Simplify (sqrt 1) into 1
4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.639 * [backup-simplify]: Simplify (+ 0 0) into 0
4.639 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.640 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.640 * [taylor]: Taking taylor expansion of y in z
4.640 * [backup-simplify]: Simplify y into y
4.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.640 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.640 * [taylor]: Taking taylor expansion of x in z
4.640 * [backup-simplify]: Simplify x into x
4.640 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.640 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.640 * [taylor]: Taking taylor expansion of z in z
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (/ 1 1) into 1
4.641 * [backup-simplify]: Simplify (+ 0 1) into 1
4.641 * [backup-simplify]: Simplify (+ 0 1) into 1
4.641 * [backup-simplify]: Simplify (sqrt 1) into 1
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.642 * [backup-simplify]: Simplify (+ 0 0) into 0
4.643 * [backup-simplify]: Simplify (+ 0 0) into 0
4.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.643 * [taylor]: Taking taylor expansion of 1 in y
4.643 * [backup-simplify]: Simplify 1 into 1
4.643 * [taylor]: Taking taylor expansion of 0 in y
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [taylor]: Taking taylor expansion of 1 in x
4.643 * [backup-simplify]: Simplify 1 into 1
4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.644 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.645 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.646 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.646 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.646 * [taylor]: Taking taylor expansion of 1/2 in y
4.646 * [backup-simplify]: Simplify 1/2 into 1/2
4.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.646 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.646 * [taylor]: Taking taylor expansion of y in y
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (* 1 1) into 1
4.646 * [backup-simplify]: Simplify (/ 1 1) into 1
4.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.646 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.646 * [taylor]: Taking taylor expansion of x in y
4.646 * [backup-simplify]: Simplify x into x
4.646 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.647 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [backup-simplify]: Simplify (+ 1 0) into 1
4.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.648 * [taylor]: Taking taylor expansion of 0 in x
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [taylor]: Taking taylor expansion of 0 in x
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [taylor]: Taking taylor expansion of 0 in x
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 1 into 1
4.648 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.649 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (+ 0 0) into 0
4.650 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
4.651 * [taylor]: Taking taylor expansion of 0 in y
4.651 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.653 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
4.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
4.653 * [taylor]: Taking taylor expansion of 1/2 in x
4.653 * [backup-simplify]: Simplify 1/2 into 1/2
4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.653 * [taylor]: Taking taylor expansion of x in x
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify (* 1 1) into 1
4.654 * [backup-simplify]: Simplify (/ 1 1) into 1
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [taylor]: Taking taylor expansion of 0 in x
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [taylor]: Taking taylor expansion of 0 in x
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.657 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
4.660 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
4.660 * [taylor]: Taking taylor expansion of -1/2 in y
4.660 * [backup-simplify]: Simplify -1/2 into -1/2
4.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
4.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.660 * [taylor]: Taking taylor expansion of 1/2 in y
4.660 * [backup-simplify]: Simplify 1/2 into 1/2
4.660 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.660 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.660 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.660 * [taylor]: Taking taylor expansion of x in y
4.660 * [backup-simplify]: Simplify x into x
4.660 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.660 * [taylor]: Taking taylor expansion of y in y
4.660 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.661 * [backup-simplify]: Simplify (* 1 1) into 1
4.661 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.661 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
4.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
4.661 * [taylor]: Taking taylor expansion of 1/4 in y
4.661 * [backup-simplify]: Simplify 1/4 into 1/4
4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.661 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.661 * [taylor]: Taking taylor expansion of y in y
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (* 1 1) into 1
4.662 * [backup-simplify]: Simplify (* 1 1) into 1
4.662 * [backup-simplify]: Simplify (/ 1 1) into 1
4.662 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
4.662 * [taylor]: Taking taylor expansion of 1/4 in y
4.662 * [backup-simplify]: Simplify 1/4 into 1/4
4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.662 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.662 * [taylor]: Taking taylor expansion of x in y
4.662 * [backup-simplify]: Simplify x into x
4.662 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.662 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.662 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.663 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.663 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
4.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
4.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.672 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
4.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.672 * [backup-simplify]: Simplify (+ 0 0) into 0
4.672 * [backup-simplify]: Simplify (+ 0 0) into 0
4.673 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.673 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.673 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.674 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.674 * [taylor]: Taking taylor expansion of 0 in x
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [taylor]: Taking taylor expansion of 0 in x
4.674 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.676 * [backup-simplify]: Simplify (+ 0 0) into 0
4.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
4.677 * [taylor]: Taking taylor expansion of 0 in x
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [taylor]: Taking taylor expansion of 0 in x
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [taylor]: Taking taylor expansion of 0 in x
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
4.679 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
4.679 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (z y x) around 0
4.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.679 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.679 * [taylor]: Taking taylor expansion of y in x
4.679 * [backup-simplify]: Simplify y into y
4.679 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.679 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.679 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.679 * [taylor]: Taking taylor expansion of x in x
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.679 * [backup-simplify]: Simplify (* 1 1) into 1
4.680 * [backup-simplify]: Simplify (/ 1 1) into 1
4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.680 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.680 * [taylor]: Taking taylor expansion of z in x
4.680 * [backup-simplify]: Simplify z into z
4.680 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.680 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.680 * [backup-simplify]: Simplify (+ 1 0) into 1
4.680 * [backup-simplify]: Simplify (+ 0 1) into 1
4.681 * [backup-simplify]: Simplify (sqrt 1) into 1
4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (+ 0 0) into 0
4.682 * [backup-simplify]: Simplify (+ 0 0) into 0
4.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.682 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.682 * [taylor]: Taking taylor expansion of y in y
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.683 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.683 * [taylor]: Taking taylor expansion of x in y
4.683 * [backup-simplify]: Simplify x into x
4.683 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.683 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.683 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.683 * [taylor]: Taking taylor expansion of z in y
4.683 * [backup-simplify]: Simplify z into z
4.683 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.683 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.683 * [backup-simplify]: Simplify (+ 1 0) into 1
4.684 * [backup-simplify]: Simplify (sqrt 1) into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.685 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.685 * [taylor]: Taking taylor expansion of y in z
4.685 * [backup-simplify]: Simplify y into y
4.685 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.685 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.686 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.686 * [taylor]: Taking taylor expansion of x in z
4.686 * [backup-simplify]: Simplify x into x
4.686 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.686 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.686 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.686 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.686 * [taylor]: Taking taylor expansion of z in z
4.686 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.686 * [backup-simplify]: Simplify (* 1 1) into 1
4.687 * [backup-simplify]: Simplify (/ 1 1) into 1
4.687 * [backup-simplify]: Simplify (+ 0 1) into 1
4.687 * [backup-simplify]: Simplify (+ 0 1) into 1
4.688 * [backup-simplify]: Simplify (sqrt 1) into 1
4.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.689 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (+ 0 0) into 0
4.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.690 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.690 * [taylor]: Taking taylor expansion of y in z
4.690 * [backup-simplify]: Simplify y into y
4.690 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.690 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.690 * [taylor]: Taking taylor expansion of x in z
4.690 * [backup-simplify]: Simplify x into x
4.690 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.690 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.690 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.690 * [taylor]: Taking taylor expansion of z in z
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [backup-simplify]: Simplify (* 1 1) into 1
4.691 * [backup-simplify]: Simplify (/ 1 1) into 1
4.691 * [backup-simplify]: Simplify (+ 0 1) into 1
4.692 * [backup-simplify]: Simplify (+ 0 1) into 1
4.692 * [backup-simplify]: Simplify (sqrt 1) into 1
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.693 * [taylor]: Taking taylor expansion of 1 in y
4.694 * [backup-simplify]: Simplify 1 into 1
4.694 * [taylor]: Taking taylor expansion of 0 in y
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [taylor]: Taking taylor expansion of 1 in x
4.694 * [backup-simplify]: Simplify 1 into 1
4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.695 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.695 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.696 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.696 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.696 * [taylor]: Taking taylor expansion of 1/2 in y
4.696 * [backup-simplify]: Simplify 1/2 into 1/2
4.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.696 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.696 * [taylor]: Taking taylor expansion of y in y
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 1 into 1
4.696 * [backup-simplify]: Simplify (* 1 1) into 1
4.697 * [backup-simplify]: Simplify (/ 1 1) into 1
4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.697 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.697 * [taylor]: Taking taylor expansion of x in y
4.697 * [backup-simplify]: Simplify x into x
4.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.698 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (+ 1 0) into 1
4.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.699 * [taylor]: Taking taylor expansion of 0 in x
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [taylor]: Taking taylor expansion of 0 in x
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [taylor]: Taking taylor expansion of 0 in x
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.699 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
4.702 * [taylor]: Taking taylor expansion of 0 in y
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.703 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
4.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
4.703 * [taylor]: Taking taylor expansion of 1/2 in x
4.703 * [backup-simplify]: Simplify 1/2 into 1/2
4.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.703 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.703 * [taylor]: Taking taylor expansion of x in x
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1 1) into 1
4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [taylor]: Taking taylor expansion of 0 in x
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [taylor]: Taking taylor expansion of 0 in x
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.706 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify (+ 0 0) into 0
4.708 * [backup-simplify]: Simplify (+ 0 0) into 0
4.709 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
4.709 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
4.709 * [taylor]: Taking taylor expansion of -1/2 in y
4.709 * [backup-simplify]: Simplify -1/2 into -1/2
4.709 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
4.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.709 * [taylor]: Taking taylor expansion of 1/2 in y
4.709 * [backup-simplify]: Simplify 1/2 into 1/2
4.709 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.709 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.709 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.709 * [taylor]: Taking taylor expansion of x in y
4.709 * [backup-simplify]: Simplify x into x
4.709 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.709 * [taylor]: Taking taylor expansion of y in y
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.710 * [backup-simplify]: Simplify (* 1 1) into 1
4.710 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.710 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
4.710 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
4.710 * [taylor]: Taking taylor expansion of 1/4 in y
4.710 * [backup-simplify]: Simplify 1/4 into 1/4
4.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.710 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.710 * [taylor]: Taking taylor expansion of y in y
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify (* 1 1) into 1
4.710 * [backup-simplify]: Simplify (* 1 1) into 1
4.711 * [backup-simplify]: Simplify (/ 1 1) into 1
4.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
4.711 * [taylor]: Taking taylor expansion of 1/4 in y
4.711 * [backup-simplify]: Simplify 1/4 into 1/4
4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.711 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.711 * [taylor]: Taking taylor expansion of x in y
4.711 * [backup-simplify]: Simplify x into x
4.711 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.711 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.711 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.712 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.712 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.718 * [backup-simplify]: Simplify (+ 0 0) into 0
4.718 * [backup-simplify]: Simplify (+ 0 0) into 0
4.718 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
4.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.719 * [backup-simplify]: Simplify (+ 0 0) into 0
4.719 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
4.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.720 * [backup-simplify]: Simplify (+ 0 0) into 0
4.720 * [backup-simplify]: Simplify (+ 0 0) into 0
4.720 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.720 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.721 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.721 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.721 * [taylor]: Taking taylor expansion of 0 in x
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [taylor]: Taking taylor expansion of 0 in x
4.721 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.723 * [backup-simplify]: Simplify (+ 0 0) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
4.724 * [taylor]: Taking taylor expansion of 0 in x
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [taylor]: Taking taylor expansion of 0 in x
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [taylor]: Taking taylor expansion of 0 in x
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
4.726 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
4.726 * [backup-simplify]: Simplify (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x)))) into (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3))
4.726 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3)) in (z y x) around 0
4.726 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3)) in x
4.726 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3) in x
4.726 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
4.726 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.726 * [taylor]: Taking taylor expansion of y in x
4.726 * [backup-simplify]: Simplify y into y
4.726 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
4.726 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.726 * [taylor]: Taking taylor expansion of x in x
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.726 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.726 * [taylor]: Taking taylor expansion of z in x
4.726 * [backup-simplify]: Simplify z into z
4.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.727 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.727 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
4.727 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
4.727 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (pow z 2))) into (pow (+ (pow y 2) (pow z 2)) 2)
4.727 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow z 2)) (pow (+ (pow y 2) (pow z 2)) 2)) into (pow (+ (pow y 2) (pow z 2)) 3)
4.728 * [backup-simplify]: Simplify (sqrt (pow (+ (pow y 2) (pow z 2)) 3)) into (sqrt (pow (+ (pow y 2) (pow z 2)) 3))
4.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.728 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.728 * [backup-simplify]: Simplify (+ 0 0) into 0
4.728 * [backup-simplify]: Simplify (+ 0 0) into 0
4.729 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow z 2)) 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
4.729 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow z 2)) 0) (* 0 (pow (+ (pow y 2) (pow z 2)) 2))) into 0
4.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow y 2) (pow z 2)) 3)))) into 0
4.729 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3)) in y
4.729 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3) in y
4.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
4.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.729 * [taylor]: Taking taylor expansion of y in y
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
4.729 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.729 * [taylor]: Taking taylor expansion of x in y
4.729 * [backup-simplify]: Simplify x into x
4.729 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.729 * [taylor]: Taking taylor expansion of z in y
4.729 * [backup-simplify]: Simplify z into z
4.729 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.729 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.730 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
4.730 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
4.730 * [backup-simplify]: Simplify (* (+ (pow z 2) (pow x 2)) (+ (pow z 2) (pow x 2))) into (pow (+ (pow x 2) (pow z 2)) 2)
4.730 * [backup-simplify]: Simplify (* (+ (pow z 2) (pow x 2)) (pow (+ (pow x 2) (pow z 2)) 2)) into (pow (+ (pow x 2) (pow z 2)) 3)
4.730 * [backup-simplify]: Simplify (sqrt (pow (+ (pow x 2) (pow z 2)) 3)) into (sqrt (pow (+ (pow x 2) (pow z 2)) 3))
4.731 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.731 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.731 * [backup-simplify]: Simplify (+ 0 0) into 0
4.731 * [backup-simplify]: Simplify (+ 0 0) into 0
4.731 * [backup-simplify]: Simplify (+ (* (+ (pow z 2) (pow x 2)) 0) (* 0 (+ (pow z 2) (pow x 2)))) into 0
4.732 * [backup-simplify]: Simplify (+ (* (+ (pow z 2) (pow x 2)) 0) (* 0 (pow (+ (pow x 2) (pow z 2)) 2))) into 0
4.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow x 2) (pow z 2)) 3)))) into 0
4.732 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3)) in z
4.732 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3) in z
4.732 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.732 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.732 * [taylor]: Taking taylor expansion of y in z
4.732 * [backup-simplify]: Simplify y into y
4.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.732 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.732 * [taylor]: Taking taylor expansion of x in z
4.732 * [backup-simplify]: Simplify x into x
4.732 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.732 * [taylor]: Taking taylor expansion of z in z
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.732 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.732 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.733 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.733 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) into (pow (+ (pow y 2) (pow x 2)) 2)
4.733 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow x 2)) (pow (+ (pow y 2) (pow x 2)) 2)) into (pow (+ (pow y 2) (pow x 2)) 3)
4.733 * [backup-simplify]: Simplify (sqrt (pow (+ (pow y 2) (pow x 2)) 3)) into (sqrt (pow (+ (pow y 2) (pow x 2)) 3))
4.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.733 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.734 * [backup-simplify]: Simplify (+ 0 0) into 0
4.734 * [backup-simplify]: Simplify (+ 0 0) into 0
4.734 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) 0) (* 0 (+ (pow y 2) (pow x 2)))) into 0
4.735 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) 0) (* 0 (pow (+ (pow y 2) (pow x 2)) 2))) into 0
4.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow y 2) (pow x 2)) 3)))) into 0
4.735 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3)) in z
4.735 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 3) in z
4.735 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
4.735 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.735 * [taylor]: Taking taylor expansion of y in z
4.735 * [backup-simplify]: Simplify y into y
4.735 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
4.735 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.735 * [taylor]: Taking taylor expansion of x in z
4.735 * [backup-simplify]: Simplify x into x
4.735 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.735 * [taylor]: Taking taylor expansion of z in z
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.735 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.735 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.735 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
4.736 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) into (pow (+ (pow y 2) (pow x 2)) 2)
4.736 * [backup-simplify]: Simplify (* (+ (pow y 2) (pow x 2)) (pow (+ (pow y 2) (pow x 2)) 2)) into (pow (+ (pow y 2) (pow x 2)) 3)
4.736 * [backup-simplify]: Simplify (sqrt (pow (+ (pow y 2) (pow x 2)) 3)) into (sqrt (pow (+ (pow y 2) (pow x 2)) 3))
4.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.736 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.737 * [backup-simplify]: Simplify (+ 0 0) into 0
4.737 * [backup-simplify]: Simplify (+ 0 0) into 0
4.737 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) 0) (* 0 (+ (pow y 2) (pow x 2)))) into 0
4.737 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) 0) (* 0 (pow (+ (pow y 2) (pow x 2)) 2))) into 0
4.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow y 2) (pow x 2)) 3)))) into 0
4.738 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow y 2) (pow x 2)) 3)) in y
4.738 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y
4.738 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.738 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.738 * [taylor]: Taking taylor expansion of y in y
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 1 into 1
4.738 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.738 * [taylor]: Taking taylor expansion of x in y
4.738 * [backup-simplify]: Simplify x into x
4.738 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.738 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.738 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.738 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6)
4.738 * [backup-simplify]: Simplify (sqrt (pow x 6)) into (pow x 3)
4.738 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.739 * [backup-simplify]: Simplify (+ 0 0) into 0
4.739 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0
4.739 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 4))) into 0
4.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 6)))) into 0
4.739 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.739 * [taylor]: Taking taylor expansion of x in x
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [taylor]: Taking taylor expansion of 0 in y
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [taylor]: Taking taylor expansion of 0 in x
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [taylor]: Taking taylor expansion of 0 in x
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.740 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.740 * [backup-simplify]: Simplify (* 1 1) into 1
4.740 * [backup-simplify]: Simplify (+ 0 1) into 1
4.741 * [backup-simplify]: Simplify (+ 0 1) into 1
4.741 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) 1) (+ (* 0 0) (* 1 (+ (pow y 2) (pow x 2))))) into (+ (* 2 (pow y 2)) (* 2 (pow x 2)))
4.742 * [backup-simplify]: Simplify (+ (* (+ (pow y 2) (pow x 2)) (+ (* 2 (pow y 2)) (* 2 (pow x 2)))) (+ (* 0 0) (* 1 (pow (+ (pow y 2) (pow x 2)) 2)))) into (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4))))
4.743 * [backup-simplify]: Simplify (/ (- (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4)))) (pow 0 2) (+)) (* 2 (sqrt (pow (+ (pow y 2) (pow x 2)) 3)))) into (* 1/2 (* (sqrt (/ 1 (pow (+ (pow y 2) (pow x 2)) 3))) (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4))))))
4.743 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ (pow y 2) (pow x 2)) 3))) (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4)))))) in y
4.743 * [taylor]: Taking taylor expansion of 1/2 in y
4.743 * [backup-simplify]: Simplify 1/2 into 1/2
4.743 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ (pow y 2) (pow x 2)) 3))) (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4))))) in y
4.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow y 2) (pow x 2)) 3))) in y
4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow x 2)) 3)) in y
4.743 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y
4.743 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.744 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.744 * [taylor]: Taking taylor expansion of y in y
4.744 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify 1 into 1
4.744 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.744 * [taylor]: Taking taylor expansion of x in y
4.744 * [backup-simplify]: Simplify x into x
4.744 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.744 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.744 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.744 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6)
4.744 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6))
4.744 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 6))) into (/ 1 (pow x 3))
4.744 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.744 * [backup-simplify]: Simplify (+ 0 0) into 0
4.745 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0
4.745 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 4))) into 0
4.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 6)) (/ 0 (pow x 6))))) into 0
4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 6))))) into 0
4.745 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 4)) (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4)))) in y
4.745 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y
4.745 * [taylor]: Taking taylor expansion of 3 in y
4.745 * [backup-simplify]: Simplify 3 into 3
4.745 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.745 * [taylor]: Taking taylor expansion of y in y
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [taylor]: Taking taylor expansion of (+ (* 6 (* (pow x 2) (pow y 2))) (* 3 (pow x 4))) in y
4.745 * [taylor]: Taking taylor expansion of (* 6 (* (pow x 2) (pow y 2))) in y
4.745 * [taylor]: Taking taylor expansion of 6 in y
4.745 * [backup-simplify]: Simplify 6 into 6
4.745 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.745 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.745 * [taylor]: Taking taylor expansion of x in y
4.745 * [backup-simplify]: Simplify x into x
4.745 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.745 * [taylor]: Taking taylor expansion of y in y
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [taylor]: Taking taylor expansion of (* 3 (pow x 4)) in y
4.745 * [taylor]: Taking taylor expansion of 3 in y
4.745 * [backup-simplify]: Simplify 3 into 3
4.745 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.745 * [taylor]: Taking taylor expansion of x in y
4.745 * [backup-simplify]: Simplify x into x
4.746 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.746 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.746 * [backup-simplify]: Simplify (* 3 (pow x 4)) into (* 3 (pow x 4))
4.746 * [backup-simplify]: Simplify (+ 0 (* 3 (pow x 4))) into (* 3 (pow x 4))
4.746 * [backup-simplify]: Simplify (+ 0 (* 3 (pow x 4))) into (* 3 (pow x 4))
4.746 * [backup-simplify]: Simplify (* (/ 1 (pow x 3)) (* 3 (pow x 4))) into (* 3 x)
4.746 * [backup-simplify]: Simplify (* 1/2 (* 3 x)) into (* 3/2 x)
4.746 * [taylor]: Taking taylor expansion of (* 3/2 x) in x
4.746 * [taylor]: Taking taylor expansion of 3/2 in x
4.746 * [backup-simplify]: Simplify 3/2 into 3/2
4.746 * [taylor]: Taking taylor expansion of x in x
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (* 3/2 0) into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [taylor]: Taking taylor expansion of 0 in x
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify (* 1 1) into 1
4.747 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.747 * [backup-simplify]: Simplify (+ 1 0) into 1
4.748 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (+ (* 0 0) (* 1 (pow x 2)))) into (* 2 (pow x 2))
4.748 * [backup-simplify]: Simplify (+ (* (pow x 2) (* 2 (pow x 2))) (+ (* 0 0) (* 1 (pow x 4)))) into (* 3 (pow x 4))
4.749 * [backup-simplify]: Simplify (/ (- (* 3 (pow x 4)) (pow 0 2) (+)) (* 2 (pow x 3))) into (* 3/2 x)
4.749 * [taylor]: Taking taylor expansion of (* 3/2 x) in x
4.749 * [taylor]: Taking taylor expansion of 3/2 in x
4.749 * [backup-simplify]: Simplify 3/2 into 3/2
4.749 * [taylor]: Taking taylor expansion of x in x
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 1 into 1
4.749 * [backup-simplify]: Simplify (* 3/2 0) into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify (* (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) (sqrt (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))))) into (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3))
4.750 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in (z y x) around 0
4.750 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in x
4.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in x
4.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.750 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.750 * [taylor]: Taking taylor expansion of y in x
4.750 * [backup-simplify]: Simplify y into y
4.750 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.750 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.750 * [taylor]: Taking taylor expansion of x in x
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 1 into 1
4.751 * [backup-simplify]: Simplify (* 1 1) into 1
4.751 * [backup-simplify]: Simplify (/ 1 1) into 1
4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.751 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.751 * [taylor]: Taking taylor expansion of z in x
4.751 * [backup-simplify]: Simplify z into z
4.751 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.751 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.751 * [backup-simplify]: Simplify (+ 1 0) into 1
4.751 * [backup-simplify]: Simplify (+ 0 1) into 1
4.752 * [backup-simplify]: Simplify (* 1 1) into 1
4.752 * [backup-simplify]: Simplify (* 1 1) into 1
4.752 * [backup-simplify]: Simplify (sqrt 1) into 1
4.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.753 * [backup-simplify]: Simplify (+ 0 0) into 0
4.753 * [backup-simplify]: Simplify (+ 0 0) into 0
4.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.755 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in y
4.755 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in y
4.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.755 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.755 * [taylor]: Taking taylor expansion of y in y
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (* 1 1) into 1
4.756 * [backup-simplify]: Simplify (/ 1 1) into 1
4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.756 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.756 * [taylor]: Taking taylor expansion of x in y
4.756 * [backup-simplify]: Simplify x into x
4.756 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.756 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.757 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.757 * [taylor]: Taking taylor expansion of z in y
4.757 * [backup-simplify]: Simplify z into z
4.757 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.757 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.757 * [backup-simplify]: Simplify (+ 1 0) into 1
4.757 * [backup-simplify]: Simplify (* 1 1) into 1
4.758 * [backup-simplify]: Simplify (* 1 1) into 1
4.758 * [backup-simplify]: Simplify (sqrt 1) into 1
4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.760 * [backup-simplify]: Simplify (+ 0 0) into 0
4.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.761 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in z
4.761 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in z
4.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.761 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.761 * [taylor]: Taking taylor expansion of y in z
4.761 * [backup-simplify]: Simplify y into y
4.761 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.762 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.762 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.762 * [taylor]: Taking taylor expansion of x in z
4.762 * [backup-simplify]: Simplify x into x
4.762 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.762 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.762 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.762 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.762 * [taylor]: Taking taylor expansion of z in z
4.762 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify 1 into 1
4.762 * [backup-simplify]: Simplify (* 1 1) into 1
4.762 * [backup-simplify]: Simplify (/ 1 1) into 1
4.763 * [backup-simplify]: Simplify (+ 0 1) into 1
4.763 * [backup-simplify]: Simplify (+ 0 1) into 1
4.763 * [backup-simplify]: Simplify (* 1 1) into 1
4.763 * [backup-simplify]: Simplify (* 1 1) into 1
4.764 * [backup-simplify]: Simplify (sqrt 1) into 1
4.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (+ 0 0) into 0
4.765 * [backup-simplify]: Simplify (+ 0 0) into 0
4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.768 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in z
4.768 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in z
4.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.768 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.768 * [taylor]: Taking taylor expansion of y in z
4.768 * [backup-simplify]: Simplify y into y
4.768 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.768 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.768 * [taylor]: Taking taylor expansion of x in z
4.768 * [backup-simplify]: Simplify x into x
4.768 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.768 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.769 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.769 * [taylor]: Taking taylor expansion of z in z
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 1 into 1
4.769 * [backup-simplify]: Simplify (* 1 1) into 1
4.769 * [backup-simplify]: Simplify (/ 1 1) into 1
4.770 * [backup-simplify]: Simplify (+ 0 1) into 1
4.770 * [backup-simplify]: Simplify (+ 0 1) into 1
4.770 * [backup-simplify]: Simplify (* 1 1) into 1
4.771 * [backup-simplify]: Simplify (* 1 1) into 1
4.771 * [backup-simplify]: Simplify (sqrt 1) into 1
4.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.774 * [taylor]: Taking taylor expansion of 1 in y
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [taylor]: Taking taylor expansion of 0 in y
4.774 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.777 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.778 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1))) into (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))
4.779 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1))) into (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))
4.780 * [backup-simplify]: Simplify (/ (- (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))))
4.780 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) in y
4.780 * [taylor]: Taking taylor expansion of 1/2 in y
4.780 * [backup-simplify]: Simplify 1/2 into 1/2
4.780 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))) in y
4.780 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
4.780 * [taylor]: Taking taylor expansion of 3 in y
4.780 * [backup-simplify]: Simplify 3 into 3
4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.780 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.780 * [taylor]: Taking taylor expansion of y in y
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.781 * [backup-simplify]: Simplify (* 1 1) into 1
4.781 * [backup-simplify]: Simplify (/ 1 1) into 1
4.781 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x 2))) in y
4.781 * [taylor]: Taking taylor expansion of 3 in y
4.781 * [backup-simplify]: Simplify 3 into 3
4.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.781 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.781 * [taylor]: Taking taylor expansion of x in y
4.781 * [backup-simplify]: Simplify x into x
4.781 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.781 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.781 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.782 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [backup-simplify]: Simplify (+ 0 0) into 0
4.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))))))) (* 2 1)) into 0
4.787 * [taylor]: Taking taylor expansion of 0 in y
4.787 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify (* 3 1) into 3
4.788 * [backup-simplify]: Simplify (+ 3 0) into 3
4.788 * [backup-simplify]: Simplify (* 1/2 3) into 3/2
4.788 * [taylor]: Taking taylor expansion of 3/2 in x
4.789 * [backup-simplify]: Simplify 3/2 into 3/2
4.789 * [taylor]: Taking taylor expansion of 1 in x
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.790 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.792 * [backup-simplify]: Simplify (+ 0 0) into 0
4.792 * [backup-simplify]: Simplify (+ 0 0) into 0
4.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1))))) into (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))
4.797 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))))) into (+ (* 6 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3 (/ 1 (pow y 4))) (* 3 (/ 1 (pow x 4)))))
4.799 * [backup-simplify]: Simplify (/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3 (/ 1 (pow y 4))) (* 3 (/ 1 (pow x 4))))) (pow (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4))))))
4.799 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))) in y
4.799 * [taylor]: Taking taylor expansion of 1/2 in y
4.799 * [backup-simplify]: Simplify 1/2 into 1/2
4.799 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4))))) in y
4.799 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.799 * [taylor]: Taking taylor expansion of 3/2 in y
4.799 * [backup-simplify]: Simplify 3/2 into 3/2
4.799 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.799 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.799 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.799 * [taylor]: Taking taylor expansion of x in y
4.799 * [backup-simplify]: Simplify x into x
4.799 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.799 * [taylor]: Taking taylor expansion of y in y
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.799 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.800 * [backup-simplify]: Simplify (* 1 1) into 1
4.800 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.800 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))) in y
4.800 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow y 4))) in y
4.800 * [taylor]: Taking taylor expansion of 3/4 in y
4.800 * [backup-simplify]: Simplify 3/4 into 3/4
4.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.800 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.800 * [taylor]: Taking taylor expansion of y in y
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.801 * [backup-simplify]: Simplify (* 1 1) into 1
4.801 * [backup-simplify]: Simplify (* 1 1) into 1
4.801 * [backup-simplify]: Simplify (/ 1 1) into 1
4.801 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow x 4))) in y
4.801 * [taylor]: Taking taylor expansion of 3/4 in y
4.801 * [backup-simplify]: Simplify 3/4 into 3/4
4.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.801 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.801 * [taylor]: Taking taylor expansion of x in y
4.801 * [backup-simplify]: Simplify x into x
4.801 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.802 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.802 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0
4.804 * [backup-simplify]: Simplify (+ 0 0) into 0
4.804 * [backup-simplify]: Simplify (+ 0 0) into 0
4.805 * [backup-simplify]: Simplify (* 3/4 1) into 3/4
4.805 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4
4.805 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4
4.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 3/4)) into 0
4.806 * [taylor]: Taking taylor expansion of 0 in x
4.806 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.808 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
4.808 * [backup-simplify]: Simplify (+ 0 0) into 0
4.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 3)) into 0
4.809 * [taylor]: Taking taylor expansion of 0 in x
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [taylor]: Taking taylor expansion of 0 in x
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [taylor]: Taking taylor expansion of 0 in x
4.809 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.811 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.813 * [backup-simplify]: Simplify (+ 0 0) into 0
4.814 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1)))))) into 0
4.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1)))))) into 0
4.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))))) (* 2 (* (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) 0)))) (* 2 1)) into 0
4.819 * [taylor]: Taking taylor expansion of 0 in y
4.819 * [backup-simplify]: Simplify 0 into 0
4.819 * [backup-simplify]: Simplify (* 3/2 (/ 1 (pow x 2))) into (/ 3/2 (pow x 2))
4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.822 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (* 0 1))) into 0
4.822 * [backup-simplify]: Simplify (+ 0 0) into 0
4.823 * [backup-simplify]: Simplify (+ (/ 3/2 (pow x 2)) 0) into (* 3/2 (/ 1 (pow x 2)))
4.823 * [backup-simplify]: Simplify (+ (* 1/2 (* 3/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3/4))) into (* 3/4 (/ 1 (pow x 2)))
4.823 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow x 2))) in x
4.823 * [taylor]: Taking taylor expansion of 3/4 in x
4.823 * [backup-simplify]: Simplify 3/4 into 3/4
4.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.824 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.824 * [taylor]: Taking taylor expansion of x in x
4.824 * [backup-simplify]: Simplify 0 into 0
4.824 * [backup-simplify]: Simplify 1 into 1
4.824 * [backup-simplify]: Simplify (* 1 1) into 1
4.824 * [backup-simplify]: Simplify (/ 1 1) into 1
4.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.827 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.827 * [backup-simplify]: Simplify (* 3 (/ 1 (pow x 2))) into (/ 3 (pow x 2))
4.827 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow x 2))) into (* 3 (/ 1 (pow x 2)))
4.828 * [backup-simplify]: Simplify (+ (* 1/2 (* 3 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3))) into (* 3/2 (/ 1 (pow x 2)))
4.828 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow x 2))) in x
4.828 * [taylor]: Taking taylor expansion of 3/2 in x
4.828 * [backup-simplify]: Simplify 3/2 into 3/2
4.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.828 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.828 * [taylor]: Taking taylor expansion of x in x
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify 1 into 1
4.828 * [backup-simplify]: Simplify (* 1 1) into 1
4.829 * [backup-simplify]: Simplify (/ 1 1) into 1
4.829 * [taylor]: Taking taylor expansion of 0 in x
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [taylor]: Taking taylor expansion of 0 in x
4.829 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.832 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
4.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ 0 0) into 0
4.835 * [backup-simplify]: Simplify (+ 0 0) into 0
4.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1))))))) into 0
4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* 0 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))))))) into (+ (/ 1 (pow y 6)) (+ (/ 1 (pow x 6)) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 3 (/ 1 (* (pow x 2) (pow y 4)))))))
4.844 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 6)) (+ (/ 1 (pow x 6)) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 3 (/ 1 (* (pow x 2) (pow y 4))))))) (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))))))) (* 2 1)) into (* -1/2 (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))))))
4.844 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))))))) in y
4.844 * [taylor]: Taking taylor expansion of -1/2 in y
4.844 * [backup-simplify]: Simplify -1/2 into -1/2
4.844 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))))) in y
4.845 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 6))) in y
4.845 * [taylor]: Taking taylor expansion of 1/8 in y
4.845 * [backup-simplify]: Simplify 1/8 into 1/8
4.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y
4.845 * [taylor]: Taking taylor expansion of (pow y 6) in y
4.845 * [taylor]: Taking taylor expansion of y in y
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.845 * [backup-simplify]: Simplify (* 1 1) into 1
4.845 * [backup-simplify]: Simplify (* 1 1) into 1
4.846 * [backup-simplify]: Simplify (* 1 1) into 1
4.846 * [backup-simplify]: Simplify (/ 1 1) into 1
4.846 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))))) in y
4.846 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) in y
4.846 * [taylor]: Taking taylor expansion of 3/8 in y
4.846 * [backup-simplify]: Simplify 3/8 into 3/8
4.846 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in y
4.846 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in y
4.846 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.846 * [taylor]: Taking taylor expansion of x in y
4.846 * [backup-simplify]: Simplify x into x
4.846 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.846 * [taylor]: Taking taylor expansion of y in y
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.847 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.847 * [backup-simplify]: Simplify (* 1 1) into 1
4.847 * [backup-simplify]: Simplify (* (pow x 4) 1) into (pow x 4)
4.847 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.847 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))) in y
4.847 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 6))) in y
4.847 * [taylor]: Taking taylor expansion of 1/8 in y
4.847 * [backup-simplify]: Simplify 1/8 into 1/8
4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y
4.847 * [taylor]: Taking taylor expansion of (pow x 6) in y
4.847 * [taylor]: Taking taylor expansion of x in y
4.847 * [backup-simplify]: Simplify x into x
4.848 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.848 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
4.848 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6)
4.848 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6))
4.848 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))) in y
4.848 * [taylor]: Taking taylor expansion of 3/8 in y
4.848 * [backup-simplify]: Simplify 3/8 into 3/8
4.848 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y
4.848 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y
4.848 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.848 * [taylor]: Taking taylor expansion of x in y
4.848 * [backup-simplify]: Simplify x into x
4.848 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.848 * [taylor]: Taking taylor expansion of y in y
4.848 * [backup-simplify]: Simplify 0 into 0
4.848 * [backup-simplify]: Simplify 1 into 1
4.848 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.849 * [backup-simplify]: Simplify (* 1 1) into 1
4.849 * [backup-simplify]: Simplify (* 1 1) into 1
4.849 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.859 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.860 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.860 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.861 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (/ 1 (pow x 2)))) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (+ 0 0) into 0
4.863 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
4.863 * [backup-simplify]: Simplify (* 3/8 (/ 1 (pow x 2))) into (/ 3/8 (pow x 2))
4.863 * [backup-simplify]: Simplify (+ 0 (/ 3/8 (pow x 2))) into (* 3/8 (/ 1 (pow x 2)))
4.863 * [backup-simplify]: Simplify (+ 0 (* 3/8 (/ 1 (pow x 2)))) into (* 3/8 (/ 1 (pow x 2)))
4.864 * [backup-simplify]: Simplify (+ 0 (* 3/8 (/ 1 (pow x 2)))) into (* 3/8 (/ 1 (pow x 2)))
4.864 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
4.865 * [backup-simplify]: Simplify (+ 0 0) into 0
4.865 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
4.865 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
4.867 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 3/8 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/8)))) into 0
4.867 * [taylor]: Taking taylor expansion of 0 in x
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.867 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.868 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
4.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.869 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (/ 1 (pow x 2)))) into 0
4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.873 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.873 * [backup-simplify]: Simplify (+ 0 0) into 0
4.874 * [backup-simplify]: Simplify (+ 0 0) into 0
4.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 3/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3/4)))) into 0
4.875 * [taylor]: Taking taylor expansion of 0 in x
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in x
4.875 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.878 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.878 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.878 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow x 2)))) into 0
4.879 * [backup-simplify]: Simplify (+ 0 0) into 0
4.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 3 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3)))) into 0
4.880 * [taylor]: Taking taylor expansion of 0 in x
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [taylor]: Taking taylor expansion of 0 in x
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [taylor]: Taking taylor expansion of 0 in x
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (* 3/4 1) into 3/4
4.880 * [backup-simplify]: Simplify 3/4 into 3/4
4.881 * [backup-simplify]: Simplify (* 3/2 1) into 3/2
4.881 * [backup-simplify]: Simplify 3/2 into 3/2
4.881 * [backup-simplify]: Simplify 3/2 into 3/2
4.882 * [backup-simplify]: Simplify (+ (* 3/2 (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 z))))) (+ (* 3/2 (* (pow (/ 1 x) -2) (* 1 (/ 1 (/ 1 z))))) (* 3/4 (* (pow (/ 1 x) -2) (* (pow (/ 1 y) -2) (/ 1 z)))))) into (+ (* 3/2 (* (pow x 2) z)) (+ (* 3/4 (/ (* (pow x 2) (pow y 2)) z)) (* 3/2 (* z (pow y 2)))))
4.883 * [backup-simplify]: Simplify (* (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) (sqrt (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3))
4.883 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in (z y x) around 0
4.883 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in x
4.883 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in x
4.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.883 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.883 * [taylor]: Taking taylor expansion of y in x
4.883 * [backup-simplify]: Simplify y into y
4.883 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.884 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.884 * [taylor]: Taking taylor expansion of x in x
4.884 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify 1 into 1
4.884 * [backup-simplify]: Simplify (* 1 1) into 1
4.884 * [backup-simplify]: Simplify (/ 1 1) into 1
4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.884 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.884 * [taylor]: Taking taylor expansion of z in x
4.884 * [backup-simplify]: Simplify z into z
4.884 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.885 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.885 * [backup-simplify]: Simplify (+ 1 0) into 1
4.885 * [backup-simplify]: Simplify (+ 0 1) into 1
4.886 * [backup-simplify]: Simplify (* 1 1) into 1
4.886 * [backup-simplify]: Simplify (* 1 1) into 1
4.886 * [backup-simplify]: Simplify (sqrt 1) into 1
4.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (+ 0 0) into 0
4.888 * [backup-simplify]: Simplify (+ 0 0) into 0
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.891 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in y
4.891 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in y
4.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.891 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.891 * [taylor]: Taking taylor expansion of y in y
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify 1 into 1
4.892 * [backup-simplify]: Simplify (* 1 1) into 1
4.892 * [backup-simplify]: Simplify (/ 1 1) into 1
4.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.892 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.892 * [taylor]: Taking taylor expansion of x in y
4.892 * [backup-simplify]: Simplify x into x
4.892 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.892 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.892 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.892 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.893 * [taylor]: Taking taylor expansion of z in y
4.893 * [backup-simplify]: Simplify z into z
4.893 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.893 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.893 * [backup-simplify]: Simplify (+ 1 0) into 1
4.893 * [backup-simplify]: Simplify (* 1 1) into 1
4.894 * [backup-simplify]: Simplify (* 1 1) into 1
4.894 * [backup-simplify]: Simplify (sqrt 1) into 1
4.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (+ 0 0) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.897 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in z
4.897 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in z
4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.897 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.897 * [taylor]: Taking taylor expansion of y in z
4.897 * [backup-simplify]: Simplify y into y
4.897 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.898 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.898 * [taylor]: Taking taylor expansion of x in z
4.898 * [backup-simplify]: Simplify x into x
4.898 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.898 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.898 * [taylor]: Taking taylor expansion of z in z
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 1 into 1
4.898 * [backup-simplify]: Simplify (* 1 1) into 1
4.899 * [backup-simplify]: Simplify (/ 1 1) into 1
4.899 * [backup-simplify]: Simplify (+ 0 1) into 1
4.899 * [backup-simplify]: Simplify (+ 0 1) into 1
4.900 * [backup-simplify]: Simplify (* 1 1) into 1
4.900 * [backup-simplify]: Simplify (* 1 1) into 1
4.900 * [backup-simplify]: Simplify (sqrt 1) into 1
4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.902 * [backup-simplify]: Simplify (+ 0 0) into 0
4.902 * [backup-simplify]: Simplify (+ 0 0) into 0
4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.904 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3)) in z
4.904 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 3) in z
4.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.904 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.904 * [taylor]: Taking taylor expansion of y in z
4.904 * [backup-simplify]: Simplify y into y
4.904 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.904 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.904 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.904 * [taylor]: Taking taylor expansion of x in z
4.904 * [backup-simplify]: Simplify x into x
4.904 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.904 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.904 * [taylor]: Taking taylor expansion of z in z
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.905 * [backup-simplify]: Simplify (/ 1 1) into 1
4.905 * [backup-simplify]: Simplify (+ 0 1) into 1
4.906 * [backup-simplify]: Simplify (+ 0 1) into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.907 * [backup-simplify]: Simplify (sqrt 1) into 1
4.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.908 * [backup-simplify]: Simplify (+ 0 0) into 0
4.909 * [backup-simplify]: Simplify (+ 0 0) into 0
4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.910 * [taylor]: Taking taylor expansion of 1 in y
4.910 * [backup-simplify]: Simplify 1 into 1
4.910 * [taylor]: Taking taylor expansion of 0 in y
4.910 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.912 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
4.912 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.913 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1))) into (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))
4.914 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1))) into (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))
4.916 * [backup-simplify]: Simplify (/ (- (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))))
4.916 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) in y
4.916 * [taylor]: Taking taylor expansion of 1/2 in y
4.916 * [backup-simplify]: Simplify 1/2 into 1/2
4.916 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2)))) in y
4.916 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
4.916 * [taylor]: Taking taylor expansion of 3 in y
4.916 * [backup-simplify]: Simplify 3 into 3
4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.916 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.916 * [taylor]: Taking taylor expansion of y in y
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify 1 into 1
4.916 * [backup-simplify]: Simplify (* 1 1) into 1
4.917 * [backup-simplify]: Simplify (/ 1 1) into 1
4.917 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x 2))) in y
4.917 * [taylor]: Taking taylor expansion of 3 in y
4.917 * [backup-simplify]: Simplify 3 into 3
4.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.917 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.917 * [taylor]: Taking taylor expansion of x in y
4.917 * [backup-simplify]: Simplify x into x
4.917 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.917 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.917 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.920 * [backup-simplify]: Simplify (+ 0 0) into 0
4.920 * [backup-simplify]: Simplify (+ 0 0) into 0
4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))))))) (* 2 1)) into 0
4.923 * [taylor]: Taking taylor expansion of 0 in y
4.923 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify (* 3 1) into 3
4.924 * [backup-simplify]: Simplify (+ 3 0) into 3
4.924 * [backup-simplify]: Simplify (* 1/2 3) into 3/2
4.924 * [taylor]: Taking taylor expansion of 3/2 in x
4.924 * [backup-simplify]: Simplify 3/2 into 3/2
4.924 * [taylor]: Taking taylor expansion of 1 in x
4.925 * [backup-simplify]: Simplify 1 into 1
4.925 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.926 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.928 * [backup-simplify]: Simplify (+ 0 0) into 0
4.929 * [backup-simplify]: Simplify (+ 0 0) into 0
4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1))))) into (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))
4.933 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))))) into (+ (* 6 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3 (/ 1 (pow y 4))) (* 3 (/ 1 (pow x 4)))))
4.935 * [backup-simplify]: Simplify (/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3 (/ 1 (pow y 4))) (* 3 (/ 1 (pow x 4))))) (pow (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4))))))
4.935 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))) in y
4.935 * [taylor]: Taking taylor expansion of 1/2 in y
4.935 * [backup-simplify]: Simplify 1/2 into 1/2
4.935 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4))))) in y
4.935 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
4.935 * [taylor]: Taking taylor expansion of 3/2 in y
4.935 * [backup-simplify]: Simplify 3/2 into 3/2
4.935 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
4.936 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
4.936 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.936 * [taylor]: Taking taylor expansion of x in y
4.936 * [backup-simplify]: Simplify x into x
4.936 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.936 * [taylor]: Taking taylor expansion of y in y
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 1 into 1
4.936 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.936 * [backup-simplify]: Simplify (* 1 1) into 1
4.936 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.936 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.936 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))) in y
4.936 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow y 4))) in y
4.936 * [taylor]: Taking taylor expansion of 3/4 in y
4.936 * [backup-simplify]: Simplify 3/4 into 3/4
4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.936 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.936 * [taylor]: Taking taylor expansion of y in y
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (* 1 1) into 1
4.937 * [backup-simplify]: Simplify (* 1 1) into 1
4.937 * [backup-simplify]: Simplify (/ 1 1) into 1
4.938 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow x 4))) in y
4.938 * [taylor]: Taking taylor expansion of 3/4 in y
4.938 * [backup-simplify]: Simplify 3/4 into 3/4
4.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
4.938 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.938 * [taylor]: Taking taylor expansion of x in y
4.938 * [backup-simplify]: Simplify x into x
4.938 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.938 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.938 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.940 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.941 * [backup-simplify]: Simplify (* 3/4 1) into 3/4
4.942 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4
4.942 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4
4.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 3/4)) into 0
4.943 * [taylor]: Taking taylor expansion of 0 in x
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.944 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
4.945 * [backup-simplify]: Simplify (+ 0 0) into 0
4.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 3)) into 0
4.945 * [taylor]: Taking taylor expansion of 0 in x
4.945 * [backup-simplify]: Simplify 0 into 0
4.946 * [taylor]: Taking taylor expansion of 0 in x
4.946 * [backup-simplify]: Simplify 0 into 0
4.946 * [taylor]: Taking taylor expansion of 0 in x
4.946 * [backup-simplify]: Simplify 0 into 0
4.946 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.948 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.950 * [backup-simplify]: Simplify (+ 0 0) into 0
4.950 * [backup-simplify]: Simplify (+ 0 0) into 0
4.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1)))))) into 0
4.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1)))))) into 0
4.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))))) (* 2 (* (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) 0)))) (* 2 1)) into 0
4.956 * [taylor]: Taking taylor expansion of 0 in y
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify (* 3/2 (/ 1 (pow x 2))) into (/ 3/2 (pow x 2))
4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.959 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (* 0 1))) into 0
4.959 * [backup-simplify]: Simplify (+ 0 0) into 0
4.959 * [backup-simplify]: Simplify (+ (/ 3/2 (pow x 2)) 0) into (* 3/2 (/ 1 (pow x 2)))
4.960 * [backup-simplify]: Simplify (+ (* 1/2 (* 3/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3/4))) into (* 3/4 (/ 1 (pow x 2)))
4.960 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow x 2))) in x
4.960 * [taylor]: Taking taylor expansion of 3/4 in x
4.960 * [backup-simplify]: Simplify 3/4 into 3/4
4.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.960 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.960 * [taylor]: Taking taylor expansion of x in x
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 1 into 1
4.961 * [backup-simplify]: Simplify (* 1 1) into 1
4.961 * [backup-simplify]: Simplify (/ 1 1) into 1
4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.963 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.963 * [backup-simplify]: Simplify (* 3 (/ 1 (pow x 2))) into (/ 3 (pow x 2))
4.963 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow x 2))) into (* 3 (/ 1 (pow x 2)))
4.964 * [backup-simplify]: Simplify (+ (* 1/2 (* 3 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3))) into (* 3/2 (/ 1 (pow x 2)))
4.964 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow x 2))) in x
4.964 * [taylor]: Taking taylor expansion of 3/2 in x
4.964 * [backup-simplify]: Simplify 3/2 into 3/2
4.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.964 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.964 * [taylor]: Taking taylor expansion of x in x
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 1 into 1
4.965 * [backup-simplify]: Simplify (* 1 1) into 1
4.965 * [backup-simplify]: Simplify (/ 1 1) into 1
4.965 * [taylor]: Taking taylor expansion of 0 in x
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [taylor]: Taking taylor expansion of 0 in x
4.965 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.968 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
4.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.971 * [backup-simplify]: Simplify (+ 0 0) into 0
4.971 * [backup-simplify]: Simplify (+ 0 0) into 0
4.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1))))))) into 0
4.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))))) (+ (* 0 0) (+ (* 0 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))))))) into (+ (/ 1 (pow y 6)) (+ (/ 1 (pow x 6)) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 3 (/ 1 (* (pow x 2) (pow y 4)))))))
4.981 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 6)) (+ (/ 1 (pow x 6)) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 3 (/ 1 (* (pow x 2) (pow y 4))))))) (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* (* 1/2 (+ (* 3 (/ 1 (pow y 2))) (* 3 (/ 1 (pow x 2))))) (* 1/2 (+ (* 3/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 3/4 (/ 1 (pow y 4))) (* 3/4 (/ 1 (pow x 4)))))))))) (* 2 1)) into (* -1/2 (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))))))
4.981 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))))))) in y
4.981 * [taylor]: Taking taylor expansion of -1/2 in y
4.981 * [backup-simplify]: Simplify -1/2 into -1/2
4.981 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow y 6))) (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))))) in y
4.981 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 6))) in y
4.981 * [taylor]: Taking taylor expansion of 1/8 in y
4.981 * [backup-simplify]: Simplify 1/8 into 1/8
4.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y
4.981 * [taylor]: Taking taylor expansion of (pow y 6) in y
4.981 * [taylor]: Taking taylor expansion of y in y
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.983 * [backup-simplify]: Simplify (/ 1 1) into 1
4.983 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))))) in y
4.983 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow x 4) (pow y 2)))) in y
4.983 * [taylor]: Taking taylor expansion of 3/8 in y
4.983 * [backup-simplify]: Simplify 3/8 into 3/8
4.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in y
4.983 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in y
4.983 * [taylor]: Taking taylor expansion of (pow x 4) in y
4.983 * [taylor]: Taking taylor expansion of x in y
4.983 * [backup-simplify]: Simplify x into x
4.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.983 * [taylor]: Taking taylor expansion of y in y
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.983 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.984 * [backup-simplify]: Simplify (* 1 1) into 1
4.984 * [backup-simplify]: Simplify (* (pow x 4) 1) into (pow x 4)
4.984 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
4.984 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow x 6))) (* 3/8 (/ 1 (* (pow x 2) (pow y 4))))) in y
4.984 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 6))) in y
4.984 * [taylor]: Taking taylor expansion of 1/8 in y
4.984 * [backup-simplify]: Simplify 1/8 into 1/8
4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y
4.984 * [taylor]: Taking taylor expansion of (pow x 6) in y
4.984 * [taylor]: Taking taylor expansion of x in y
4.984 * [backup-simplify]: Simplify x into x
4.984 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.984 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
4.985 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6)
4.985 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6))
4.985 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow x 2) (pow y 4)))) in y
4.985 * [taylor]: Taking taylor expansion of 3/8 in y
4.985 * [backup-simplify]: Simplify 3/8 into 3/8
4.985 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y
4.985 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y
4.985 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.985 * [taylor]: Taking taylor expansion of x in y
4.985 * [backup-simplify]: Simplify x into x
4.985 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.985 * [taylor]: Taking taylor expansion of y in y
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [backup-simplify]: Simplify 1 into 1
4.985 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.985 * [backup-simplify]: Simplify (* 1 1) into 1
4.986 * [backup-simplify]: Simplify (* 1 1) into 1
4.986 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
4.986 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.997 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.999 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.999 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.000 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (/ 1 (pow x 2)))) into 0
5.000 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
5.002 * [backup-simplify]: Simplify (* 3/8 (/ 1 (pow x 2))) into (/ 3/8 (pow x 2))
5.003 * [backup-simplify]: Simplify (+ 0 (/ 3/8 (pow x 2))) into (* 3/8 (/ 1 (pow x 2)))
5.003 * [backup-simplify]: Simplify (+ 0 (* 3/8 (/ 1 (pow x 2)))) into (* 3/8 (/ 1 (pow x 2)))
5.003 * [backup-simplify]: Simplify (+ 0 (* 3/8 (/ 1 (pow x 2)))) into (* 3/8 (/ 1 (pow x 2)))
5.003 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
5.003 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
5.004 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
5.005 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 3/8 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/8)))) into 0
5.005 * [taylor]: Taking taylor expansion of 0 in x
5.005 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.006 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.007 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.007 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (/ 1 (pow x 2)))) into 0
5.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.011 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.011 * [backup-simplify]: Simplify (+ 0 0) into 0
5.011 * [backup-simplify]: Simplify (+ 0 0) into 0
5.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 3/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3/4)))) into 0
5.013 * [taylor]: Taking taylor expansion of 0 in x
5.013 * [backup-simplify]: Simplify 0 into 0
5.013 * [taylor]: Taking taylor expansion of 0 in x
5.013 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.015 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.018 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow x 2)))) into 0
5.018 * [backup-simplify]: Simplify (+ 0 0) into 0
5.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 3 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 3)))) into 0
5.020 * [taylor]: Taking taylor expansion of 0 in x
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [taylor]: Taking taylor expansion of 0 in x
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [taylor]: Taking taylor expansion of 0 in x
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify (* 3/4 1) into 3/4
5.020 * [backup-simplify]: Simplify 3/4 into 3/4
5.021 * [backup-simplify]: Simplify (* 3/2 1) into 3/2
5.021 * [backup-simplify]: Simplify 3/2 into 3/2
5.021 * [backup-simplify]: Simplify 3/2 into 3/2
5.022 * [backup-simplify]: Simplify (+ (* 3/2 (* 1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- z)))))) (+ (* 3/2 (* (pow (/ 1 (- x)) -2) (* 1 (/ 1 (/ 1 (- z)))))) (* 3/4 (* (pow (/ 1 (- x)) -2) (* (pow (/ 1 (- y)) -2) (/ 1 (- z))))))) into (- (+ (* 3/2 (* (pow x 2) z)) (+ (* 3/4 (/ (* (pow x 2) (pow y 2)) z)) (* 3/2 (* z (pow y 2))))))
5.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1)
5.022 * [backup-simplify]: Simplify (+ (+ (* z z) (* y y)) (* x x)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.022 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (z y x) around 0
5.022 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
5.022 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.023 * [taylor]: Taking taylor expansion of y in x
5.023 * [backup-simplify]: Simplify y into y
5.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
5.023 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.023 * [taylor]: Taking taylor expansion of x in x
5.023 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.023 * [taylor]: Taking taylor expansion of z in x
5.023 * [backup-simplify]: Simplify z into z
5.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
5.023 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.023 * [taylor]: Taking taylor expansion of y in y
5.023 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
5.023 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.023 * [taylor]: Taking taylor expansion of x in y
5.023 * [backup-simplify]: Simplify x into x
5.023 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.023 * [taylor]: Taking taylor expansion of z in y
5.023 * [backup-simplify]: Simplify z into z
5.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
5.023 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.023 * [taylor]: Taking taylor expansion of y in z
5.023 * [backup-simplify]: Simplify y into y
5.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.023 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.023 * [taylor]: Taking taylor expansion of x in z
5.023 * [backup-simplify]: Simplify x into x
5.023 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.023 * [taylor]: Taking taylor expansion of z in z
5.023 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
5.023 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.023 * [taylor]: Taking taylor expansion of y in z
5.023 * [backup-simplify]: Simplify y into y
5.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
5.023 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.023 * [taylor]: Taking taylor expansion of x in z
5.024 * [backup-simplify]: Simplify x into x
5.024 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.024 * [taylor]: Taking taylor expansion of z in z
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.024 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.024 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.024 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
5.024 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.024 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.024 * [taylor]: Taking taylor expansion of y in y
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.024 * [taylor]: Taking taylor expansion of x in y
5.024 * [backup-simplify]: Simplify x into x
5.024 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.025 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.025 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.025 * [taylor]: Taking taylor expansion of x in x
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 1 into 1
5.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.025 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.025 * [backup-simplify]: Simplify (+ 0 0) into 0
5.026 * [backup-simplify]: Simplify (+ 0 0) into 0
5.026 * [taylor]: Taking taylor expansion of 0 in y
5.026 * [backup-simplify]: Simplify 0 into 0
5.026 * [taylor]: Taking taylor expansion of 0 in x
5.026 * [backup-simplify]: Simplify 0 into 0
5.026 * [backup-simplify]: Simplify 0 into 0
5.026 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.026 * [backup-simplify]: Simplify (+ 0 0) into 0
5.026 * [taylor]: Taking taylor expansion of 0 in x
5.026 * [backup-simplify]: Simplify 0 into 0
5.026 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.027 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.028 * [backup-simplify]: Simplify (* 1 1) into 1
5.028 * [backup-simplify]: Simplify (+ 0 1) into 1
5.028 * [backup-simplify]: Simplify (+ 0 1) into 1
5.028 * [taylor]: Taking taylor expansion of 1 in y
5.028 * [backup-simplify]: Simplify 1 into 1
5.028 * [taylor]: Taking taylor expansion of 1 in x
5.028 * [backup-simplify]: Simplify 1 into 1
5.028 * [backup-simplify]: Simplify 1 into 1
5.029 * [taylor]: Taking taylor expansion of 0 in x
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (* 1 1) into 1
5.029 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.030 * [backup-simplify]: Simplify (+ 1 0) into 1
5.030 * [taylor]: Taking taylor expansion of 1 in x
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify (* 1 1) into 1
5.030 * [backup-simplify]: Simplify 1 into 1
5.031 * [backup-simplify]: Simplify (+ (* 1 (pow (* x (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 z)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.031 * [backup-simplify]: Simplify (+ (+ (* (/ 1 z) (/ 1 z)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.031 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (z y x) around 0
5.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.032 * [taylor]: Taking taylor expansion of y in x
5.032 * [backup-simplify]: Simplify y into y
5.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.032 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.032 * [taylor]: Taking taylor expansion of x in x
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 1 into 1
5.032 * [backup-simplify]: Simplify (* 1 1) into 1
5.033 * [backup-simplify]: Simplify (/ 1 1) into 1
5.033 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.033 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.033 * [taylor]: Taking taylor expansion of z in x
5.033 * [backup-simplify]: Simplify z into z
5.033 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.033 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.033 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.033 * [taylor]: Taking taylor expansion of y in y
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 1 into 1
5.033 * [backup-simplify]: Simplify (* 1 1) into 1
5.034 * [backup-simplify]: Simplify (/ 1 1) into 1
5.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.034 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.034 * [taylor]: Taking taylor expansion of x in y
5.034 * [backup-simplify]: Simplify x into x
5.034 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.034 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.034 * [taylor]: Taking taylor expansion of z in y
5.034 * [backup-simplify]: Simplify z into z
5.034 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.034 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.034 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.035 * [taylor]: Taking taylor expansion of y in z
5.035 * [backup-simplify]: Simplify y into y
5.035 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.035 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.035 * [taylor]: Taking taylor expansion of x in z
5.035 * [backup-simplify]: Simplify x into x
5.035 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.035 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.035 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.035 * [taylor]: Taking taylor expansion of z in z
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 1 into 1
5.036 * [backup-simplify]: Simplify (* 1 1) into 1
5.036 * [backup-simplify]: Simplify (/ 1 1) into 1
5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.036 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.036 * [taylor]: Taking taylor expansion of y in z
5.036 * [backup-simplify]: Simplify y into y
5.036 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.036 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.036 * [taylor]: Taking taylor expansion of x in z
5.036 * [backup-simplify]: Simplify x into x
5.036 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.037 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.037 * [taylor]: Taking taylor expansion of z in z
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 1 into 1
5.037 * [backup-simplify]: Simplify (* 1 1) into 1
5.037 * [backup-simplify]: Simplify (/ 1 1) into 1
5.038 * [backup-simplify]: Simplify (+ 0 1) into 1
5.038 * [backup-simplify]: Simplify (+ 0 1) into 1
5.038 * [taylor]: Taking taylor expansion of 1 in y
5.038 * [backup-simplify]: Simplify 1 into 1
5.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.040 * [backup-simplify]: Simplify (+ 0 0) into 0
5.040 * [backup-simplify]: Simplify (+ 0 0) into 0
5.040 * [taylor]: Taking taylor expansion of 0 in y
5.040 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.042 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.042 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
5.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.042 * [taylor]: Taking taylor expansion of y in y
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [backup-simplify]: Simplify (* 1 1) into 1
5.043 * [backup-simplify]: Simplify (/ 1 1) into 1
5.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.043 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.043 * [taylor]: Taking taylor expansion of x in y
5.043 * [backup-simplify]: Simplify x into x
5.043 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.043 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.043 * [backup-simplify]: Simplify (+ 1 0) into 1
5.043 * [taylor]: Taking taylor expansion of 1 in x
5.043 * [backup-simplify]: Simplify 1 into 1
5.043 * [taylor]: Taking taylor expansion of 1 in x
5.043 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.044 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [taylor]: Taking taylor expansion of 0 in y
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.048 * [backup-simplify]: Simplify (+ 0 0) into 0
5.048 * [taylor]: Taking taylor expansion of 0 in x
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in x
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in x
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.049 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.051 * [backup-simplify]: Simplify (+ 0 0) into 0
5.051 * [backup-simplify]: Simplify (+ 0 0) into 0
5.051 * [taylor]: Taking taylor expansion of 0 in y
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.054 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
5.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.054 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.054 * [taylor]: Taking taylor expansion of x in x
5.054 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify 1 into 1
5.055 * [backup-simplify]: Simplify (* 1 1) into 1
5.055 * [backup-simplify]: Simplify (/ 1 1) into 1
5.055 * [backup-simplify]: Simplify 1 into 1
5.055 * [taylor]: Taking taylor expansion of 0 in x
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [taylor]: Taking taylor expansion of 0 in x
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify 1 into 1
5.056 * [backup-simplify]: Simplify 1 into 1
5.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 z)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.057 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- z)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
5.057 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (z y x) around 0
5.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
5.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.057 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.057 * [taylor]: Taking taylor expansion of y in x
5.057 * [backup-simplify]: Simplify y into y
5.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
5.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.058 * [taylor]: Taking taylor expansion of x in x
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 1 into 1
5.058 * [backup-simplify]: Simplify (* 1 1) into 1
5.058 * [backup-simplify]: Simplify (/ 1 1) into 1
5.058 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
5.058 * [taylor]: Taking taylor expansion of (pow z 2) in x
5.058 * [taylor]: Taking taylor expansion of z in x
5.058 * [backup-simplify]: Simplify z into z
5.058 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.059 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
5.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.059 * [taylor]: Taking taylor expansion of y in y
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 1 into 1
5.059 * [backup-simplify]: Simplify (* 1 1) into 1
5.059 * [backup-simplify]: Simplify (/ 1 1) into 1
5.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
5.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.059 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.059 * [taylor]: Taking taylor expansion of x in y
5.060 * [backup-simplify]: Simplify x into x
5.060 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.060 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.060 * [taylor]: Taking taylor expansion of z in y
5.060 * [backup-simplify]: Simplify z into z
5.060 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.060 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.060 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.060 * [taylor]: Taking taylor expansion of y in z
5.060 * [backup-simplify]: Simplify y into y
5.060 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.060 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.060 * [taylor]: Taking taylor expansion of x in z
5.060 * [backup-simplify]: Simplify x into x
5.060 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.060 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.060 * [taylor]: Taking taylor expansion of z in z
5.060 * [backup-simplify]: Simplify 0 into 0
5.060 * [backup-simplify]: Simplify 1 into 1
5.061 * [backup-simplify]: Simplify (* 1 1) into 1
5.061 * [backup-simplify]: Simplify (/ 1 1) into 1
5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
5.061 * [taylor]: Taking taylor expansion of (pow y 2) in z
5.061 * [taylor]: Taking taylor expansion of y in z
5.061 * [backup-simplify]: Simplify y into y
5.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
5.061 * [taylor]: Taking taylor expansion of (pow x 2) in z
5.061 * [taylor]: Taking taylor expansion of x in z
5.061 * [backup-simplify]: Simplify x into x
5.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.061 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.061 * [taylor]: Taking taylor expansion of z in z
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 1 into 1
5.062 * [backup-simplify]: Simplify (* 1 1) into 1
5.062 * [backup-simplify]: Simplify (/ 1 1) into 1
5.062 * [backup-simplify]: Simplify (+ 0 1) into 1
5.062 * [backup-simplify]: Simplify (+ 0 1) into 1
5.062 * [taylor]: Taking taylor expansion of 1 in y
5.062 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.064 * [backup-simplify]: Simplify (+ 0 0) into 0
5.064 * [backup-simplify]: Simplify (+ 0 0) into 0
5.064 * [taylor]: Taking taylor expansion of 0 in y
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.065 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.065 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
5.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.065 * [taylor]: Taking taylor expansion of y in y
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (* 1 1) into 1
5.066 * [backup-simplify]: Simplify (/ 1 1) into 1
5.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.066 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.066 * [taylor]: Taking taylor expansion of x in y
5.066 * [backup-simplify]: Simplify x into x
5.066 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.066 * [backup-simplify]: Simplify (+ 1 0) into 1
5.066 * [taylor]: Taking taylor expansion of 1 in x
5.066 * [backup-simplify]: Simplify 1 into 1
5.066 * [taylor]: Taking taylor expansion of 1 in x
5.066 * [backup-simplify]: Simplify 1 into 1
5.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.067 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ 0 0) into 0
5.068 * [backup-simplify]: Simplify (+ 0 0) into 0
5.068 * [taylor]: Taking taylor expansion of 0 in y
5.068 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.069 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [taylor]: Taking taylor expansion of 0 in x
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [taylor]: Taking taylor expansion of 0 in x
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [taylor]: Taking taylor expansion of 0 in x
5.069 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.070 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
5.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.072 * [backup-simplify]: Simplify (+ 0 0) into 0
5.072 * [backup-simplify]: Simplify (+ 0 0) into 0
5.072 * [taylor]: Taking taylor expansion of 0 in y
5.072 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
5.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.073 * [taylor]: Taking taylor expansion of x in x
5.073 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify (* 1 1) into 1
5.074 * [backup-simplify]: Simplify (/ 1 1) into 1
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [taylor]: Taking taylor expansion of 0 in x
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in x
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- z))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
5.075 * * * [progress]: simplifying candidates
5.076 * [simplify]: Simplifying:
  (log (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (exp (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))
  (cbrt (+ (+ (* z z) (* y y)) (* x x)))
  (cbrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (cbrt (* (+ (pow (+ (* z z) (* y y)) 3) (pow (* x x) 3)) (sqrt (+ (pow (+ (* z z) (* y y)) 3) (pow (* x x) 3)))))
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  x
  z
  (* -1 z)
  x
  z
  (* -1 z)
  0
  (+ (* 3/2 (* (pow x 2) z)) (+ (* 3/4 (/ (* (pow x 2) (pow y 2)) z)) (* 3/2 (* z (pow y 2)))))
  (- (+ (* 3/2 (* (pow x 2) z)) (+ (* 3/4 (/ (* (pow x 2) (pow y 2)) z)) (* 3/2 (* z (pow y 2))))))
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5.078 * * [simplify]: iteration 0: 125 enodes
5.098 * * [simplify]: iteration 1: 291 enodes
5.200 * * [simplify]: iteration 2: 1536 enodes
5.589 * * [simplify]: iteration complete: 5000 enodes
5.589 * * [simplify]: Extracting #0: cost 70 inf + 0
5.590 * * [simplify]: Extracting #1: cost 761 inf + 6
5.596 * * [simplify]: Extracting #2: cost 1700 inf + 3354
5.613 * * [simplify]: Extracting #3: cost 2221 inf + 17597
5.636 * * [simplify]: Extracting #4: cost 1794 inf + 69383
5.704 * * [simplify]: Extracting #5: cost 842 inf + 340137
5.813 * * [simplify]: Extracting #6: cost 73 inf + 638181
5.961 * * [simplify]: Extracting #7: cost 0 inf + 653826
6.157 * * [simplify]: Extracting #8: cost 0 inf + 651028
6.336 * [simplify]: Simplified to:
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  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  1
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  1/2
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  3/2
  3/2
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  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
6.350 * * * [progress]: adding candidates to table
6.884 * * [progress]: iteration 4 / 4
6.884 * * * [progress]: picking best candidate
6.905 * * * * [pick]: Picked  #<alt (λ (x y z) (- z))>
6.905 * * * [progress]: localizing error
6.909 * * * [progress]: generating rewritten candidates
6.909 * * * [progress]: generating series expansions
6.909 * * * [progress]: simplifying candidates
6.909 * [simplify]: Simplifying:
  
6.909 * * [simplify]: iteration 0: 0 enodes
6.909 * * [simplify]: iteration complete: 0 enodes
6.909 * * [simplify]: Extracting #0: cost 0 inf + 0
6.909 * [simplify]: Simplified to:
  
6.909 * * * [progress]: adding candidates to table
6.910 * [progress]: [Phase 3 of 3] Extracting.
6.910 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
6.911 * * * [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)
6.911 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
6.981 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))>)
7.026 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.089 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.172 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.239 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.320 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- z))>)
7.372 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.437 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>)
7.476 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.532 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>)
7.566 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.642 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.717 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.789 * * * [regime]: Found split indices: #<option (#s(si 4 53) #s(si 0 217) #s(si 2 255))>
7.790 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.864 * [regimes]: Found splitpoints: (#s(sp 4 x -7.0606062487436015e+50) #s(sp 0 x 7.898403675517638e+123) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (cbrt (* (+ (+ (* z z) (* y y)) (* x x)) (sqrt (+ (+ (* z z) (* y y)) (* x x))))))> #<alt (λ (x y z) (- z))>)
7.864 * [simplify]: Simplifying:
  (if (<= x -7.0606062487436015e+50) (- x) (if (<= x 7.898403675517638e+123) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
7.865 * * [simplify]: iteration 0: 16 enodes
7.865 * * [simplify]: iteration 1: 18 enodes
7.866 * * [simplify]: iteration complete: 18 enodes
7.866 * * [simplify]: Extracting #0: cost 1 inf + 0
7.866 * * [simplify]: Extracting #1: cost 4 inf + 0
7.866 * * [simplify]: Extracting #2: cost 8 inf + 0
7.866 * * [simplify]: Extracting #3: cost 8 inf + 2
7.866 * * [simplify]: Extracting #4: cost 6 inf + 178
7.866 * * [simplify]: Extracting #5: cost 9 inf + 178
7.866 * * [simplify]: Extracting #6: cost 7 inf + 261
7.866 * * [simplify]: Extracting #7: cost 6 inf + 262
7.866 * * [simplify]: Extracting #8: cost 4 inf + 425
7.866 * * [simplify]: Extracting #9: cost 2 inf + 871
7.866 * * [simplify]: Extracting #10: cost 0 inf + 1790
7.867 * [simplify]: Simplified to:
  (if (<= x -7.0606062487436015e+50) (- x) (if (<= x 7.898403675517638e+123) (sqrt (+ (* z z) (+ (* y y) (* x x)))) x))
9.573 * [regime-testing]: Baseline error score: 37.138916941701694
9.582 * [regime-testing]: Oracle error score: 12.225286621829502
9.601 * [regime-testing]: End program error score: 25.751488027375974
9.752 * [regime-testing]: Target error score: 24.786703258971635