78.111 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.024 * * [simplify]: iteration 0: 9 enodes
0.026 * * [simplify]: iteration 1: 13 enodes
0.028 * * [simplify]: iteration 2: 19 enodes
0.031 * * [simplify]: iteration 3: 20 enodes
0.033 * * [simplify]: iteration complete: 20 enodes
0.033 * * [simplify]: Extracting #0: cost 1 inf + 0
0.033 * * [simplify]: Extracting #1: cost 2 inf + 0
0.033 * * [simplify]: Extracting #2: cost 8 inf + 0
0.033 * * [simplify]: Extracting #3: cost 11 inf + 0
0.033 * * [simplify]: Extracting #4: cost 8 inf + 3
0.034 * * [simplify]: Extracting #5: cost 1 inf + 816
0.034 * * [simplify]: Extracting #6: cost 0 inf + 938
0.034 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.039 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.039 * * * [progress]: localizing error
0.051 * * * [progress]: generating rewritten candidates
0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.099 * * * [progress]: generating series expansions
0.099 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.099 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.100 * [taylor]: Taking taylor expansion of y in z
0.100 * [backup-simplify]: Simplify y into y
0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.100 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.100 * [taylor]: Taking taylor expansion of x in z
0.100 * [backup-simplify]: Simplify x into x
0.100 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.100 * [taylor]: Taking taylor expansion of z in z
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.100 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.100 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.100 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.101 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.101 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.103 * [taylor]: Taking taylor expansion of y in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.103 * [taylor]: Taking taylor expansion of x in y
0.103 * [backup-simplify]: Simplify x into x
0.103 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.103 * [taylor]: Taking taylor expansion of z in y
0.103 * [backup-simplify]: Simplify z into z
0.103 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.103 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.103 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.104 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.104 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.104 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.104 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.106 * [taylor]: Taking taylor expansion of z in x
0.106 * [backup-simplify]: Simplify z into z
0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.106 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.106 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.106 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.107 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.108 * [taylor]: Taking taylor expansion of z in x
0.108 * [backup-simplify]: Simplify z into z
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.108 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.109 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.109 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.109 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.117 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.117 * [taylor]: Taking taylor expansion of z in y
0.117 * [backup-simplify]: Simplify z into z
0.117 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.117 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.117 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.117 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.118 * [taylor]: Taking taylor expansion of z in z
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.120 * [backup-simplify]: Simplify (+ 1 0) into 1
0.120 * [backup-simplify]: Simplify (+ 0 1) into 1
0.121 * [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)))))
0.121 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.121 * [taylor]: Taking taylor expansion of 1/2 in y
0.121 * [backup-simplify]: Simplify 1/2 into 1/2
0.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.121 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.121 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.121 * [taylor]: Taking taylor expansion of y in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.121 * [taylor]: Taking taylor expansion of z in y
0.121 * [backup-simplify]: Simplify z into z
0.121 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.121 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.121 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.121 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.121 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.122 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.122 * [taylor]: Taking taylor expansion of 1/2 in z
0.122 * [backup-simplify]: Simplify 1/2 into 1/2
0.122 * [taylor]: Taking taylor expansion of z in z
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [taylor]: Taking taylor expansion of 0 in z
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.124 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.124 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.124 * [taylor]: Taking taylor expansion of 1/2 in z
0.124 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.126 * [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)))))
0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.126 * [taylor]: Taking taylor expansion of y in z
0.126 * [backup-simplify]: Simplify y into y
0.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.126 * [taylor]: Taking taylor expansion of x in z
0.126 * [backup-simplify]: Simplify x into x
0.126 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.126 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.126 * [taylor]: Taking taylor expansion of z in z
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [backup-simplify]: Simplify (+ 0 1) into 1
0.127 * [backup-simplify]: Simplify (+ 0 1) into 1
0.127 * [backup-simplify]: Simplify (sqrt 1) into 1
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.129 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [backup-simplify]: Simplify x into x
0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
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 (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.131 * [backup-simplify]: Simplify (+ 1 0) into 1
0.131 * [backup-simplify]: Simplify (sqrt 1) into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.133 * [taylor]: Taking taylor expansion of y in x
0.133 * [backup-simplify]: Simplify y into y
0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.133 * [taylor]: Taking taylor expansion of x in x
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.133 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.133 * [taylor]: Taking taylor expansion of z in x
0.133 * [backup-simplify]: Simplify z into z
0.133 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.134 * [backup-simplify]: Simplify (+ 1 0) into 1
0.134 * [backup-simplify]: Simplify (+ 0 1) into 1
0.134 * [backup-simplify]: Simplify (sqrt 1) into 1
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.137 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.137 * [taylor]: Taking taylor expansion of z in x
0.137 * [backup-simplify]: Simplify z into z
0.137 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.138 * [backup-simplify]: Simplify (+ 1 0) into 1
0.138 * [backup-simplify]: Simplify (+ 0 1) into 1
0.139 * [backup-simplify]: Simplify (sqrt 1) into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [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
0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.142 * [taylor]: Taking taylor expansion of 1 in y
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [taylor]: Taking taylor expansion of 0 in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [taylor]: Taking taylor expansion of 1 in z
0.142 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.146 * [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))))
0.146 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.146 * [taylor]: Taking taylor expansion of 1/2 in y
0.146 * [backup-simplify]: Simplify 1/2 into 1/2
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.146 * [taylor]: Taking taylor expansion of y in y
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.147 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.147 * [taylor]: Taking taylor expansion of z in y
0.147 * [backup-simplify]: Simplify z into z
0.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (+ 1 0) into 1
0.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.150 * [taylor]: Taking taylor expansion of 0 in z
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [taylor]: Taking taylor expansion of 0 in z
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [taylor]: Taking taylor expansion of 0 in z
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.158 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.158 * [taylor]: Taking taylor expansion of 1/2 in z
0.158 * [backup-simplify]: Simplify 1/2 into 1/2
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.158 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.158 * [taylor]: Taking taylor expansion of z in z
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [taylor]: Taking taylor expansion of 0 in z
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [taylor]: Taking taylor expansion of 0 in z
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [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
0.165 * [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
0.168 * [taylor]: Taking taylor expansion of -1/2 in y
0.168 * [backup-simplify]: Simplify -1/2 into -1/2
0.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.168 * [taylor]: Taking taylor expansion of 1/2 in y
0.168 * [backup-simplify]: Simplify 1/2 into 1/2
0.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.168 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.168 * [taylor]: Taking taylor expansion of z in y
0.168 * [backup-simplify]: Simplify z into z
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.168 * [taylor]: Taking taylor expansion of y in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.169 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.169 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.169 * [taylor]: Taking taylor expansion of 1/4 in y
0.169 * [backup-simplify]: Simplify 1/4 into 1/4
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.169 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.169 * [taylor]: Taking taylor expansion of y in y
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.170 * [taylor]: Taking taylor expansion of 1/4 in y
0.170 * [backup-simplify]: Simplify 1/4 into 1/4
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.170 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.170 * [taylor]: Taking taylor expansion of z in y
0.170 * [backup-simplify]: Simplify z into z
0.170 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.170 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.171 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.172 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.186 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.186 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.188 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.188 * [taylor]: Taking taylor expansion of 0 in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [taylor]: Taking taylor expansion of 0 in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in z
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in z
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in z
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.192 * [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)))))
0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.193 * [taylor]: Taking taylor expansion of y in z
0.193 * [backup-simplify]: Simplify y into y
0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.193 * [taylor]: Taking taylor expansion of x in z
0.193 * [backup-simplify]: Simplify x into x
0.193 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.193 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.193 * [taylor]: Taking taylor expansion of z in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (* 1 1) into 1
0.193 * [backup-simplify]: Simplify (/ 1 1) into 1
0.194 * [backup-simplify]: Simplify (+ 0 1) into 1
0.194 * [backup-simplify]: Simplify (+ 0 1) into 1
0.194 * [backup-simplify]: Simplify (sqrt 1) into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.196 * [taylor]: Taking taylor expansion of y in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.197 * [taylor]: Taking taylor expansion of x in y
0.197 * [backup-simplify]: Simplify x into x
0.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.197 * [taylor]: Taking taylor expansion of z in y
0.197 * [backup-simplify]: Simplify z into z
0.197 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.197 * [backup-simplify]: Simplify (+ 1 0) into 1
0.197 * [backup-simplify]: Simplify (sqrt 1) into 1
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.199 * [taylor]: Taking taylor expansion of y in x
0.199 * [backup-simplify]: Simplify y into y
0.199 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.199 * [taylor]: Taking taylor expansion of x in x
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.200 * [taylor]: Taking taylor expansion of z in x
0.200 * [backup-simplify]: Simplify z into z
0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.200 * [backup-simplify]: Simplify (+ 1 0) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [backup-simplify]: Simplify (sqrt 1) into 1
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.203 * [taylor]: Taking taylor expansion of y in x
0.203 * [backup-simplify]: Simplify y into y
0.203 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.203 * [taylor]: Taking taylor expansion of x in x
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (* 1 1) into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.203 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.203 * [taylor]: Taking taylor expansion of z in x
0.203 * [backup-simplify]: Simplify z into z
0.203 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.203 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.204 * [backup-simplify]: Simplify (+ 1 0) into 1
0.204 * [backup-simplify]: Simplify (+ 0 1) into 1
0.204 * [backup-simplify]: Simplify (sqrt 1) into 1
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.206 * [taylor]: Taking taylor expansion of 1 in y
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of 0 in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [taylor]: Taking taylor expansion of 1 in z
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.208 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.208 * [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))))
0.208 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.209 * [taylor]: Taking taylor expansion of 1/2 in y
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.209 * [taylor]: Taking taylor expansion of y in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.209 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.209 * [taylor]: Taking taylor expansion of z in y
0.209 * [backup-simplify]: Simplify z into z
0.209 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ 1 0) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.211 * [taylor]: Taking taylor expansion of 0 in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.214 * [taylor]: Taking taylor expansion of 0 in y
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.216 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.216 * [taylor]: Taking taylor expansion of 1/2 in z
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.216 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.216 * [taylor]: Taking taylor expansion of z in z
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1 1) into 1
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of 0 in z
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of 0 in z
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [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))))))
0.223 * [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
0.223 * [taylor]: Taking taylor expansion of -1/2 in y
0.223 * [backup-simplify]: Simplify -1/2 into -1/2
0.223 * [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
0.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.223 * [taylor]: Taking taylor expansion of 1/2 in y
0.223 * [backup-simplify]: Simplify 1/2 into 1/2
0.223 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.223 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.223 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.223 * [taylor]: Taking taylor expansion of z in y
0.223 * [backup-simplify]: Simplify z into z
0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.223 * [taylor]: Taking taylor expansion of y in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.224 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.224 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.224 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.224 * [taylor]: Taking taylor expansion of 1/4 in y
0.224 * [backup-simplify]: Simplify 1/4 into 1/4
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.224 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.225 * [taylor]: Taking taylor expansion of 1/4 in y
0.225 * [backup-simplify]: Simplify 1/4 into 1/4
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.225 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.225 * [taylor]: Taking taylor expansion of z in y
0.225 * [backup-simplify]: Simplify z into z
0.226 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.226 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.226 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.227 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.242 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.242 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.243 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.243 * [taylor]: Taking taylor expansion of 0 in z
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [taylor]: Taking taylor expansion of 0 in z
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.248 * * * [progress]: simplifying candidates
0.248 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  z
  x
  (* -1 x)
0.248 * * [simplify]: iteration 0: 41 enodes
0.256 * * [simplify]: iteration 1: 92 enodes
0.282 * * [simplify]: iteration 2: 265 enodes
0.422 * * [simplify]: iteration 3: 932 enodes
1.223 * * [simplify]: iteration 4: 3299 enodes
2.208 * * [simplify]: iteration complete: 5000 enodes
2.208 * * [simplify]: Extracting #0: cost 18 inf + 0
2.208 * * [simplify]: Extracting #1: cost 30 inf + 45
2.208 * * [simplify]: Extracting #2: cost 217 inf + 47
2.218 * * [simplify]: Extracting #3: cost 906 inf + 3551
2.237 * * [simplify]: Extracting #4: cost 909 inf + 76207
2.303 * * [simplify]: Extracting #5: cost 229 inf + 261195
2.421 * * [simplify]: Extracting #6: cost 60 inf + 311579
2.550 * * [simplify]: Extracting #7: cost 36 inf + 321228
2.685 * * [simplify]: Extracting #8: cost 9 inf + 327542
2.817 * * [simplify]: Extracting #9: cost 0 inf + 330908
2.914 * [simplify]: Simplified to:
  (log (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (+ (+ (* y y) (* z z)) (* x x)) (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (fabs (cbrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (cbrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  (sqrt (+ (+ (* y y) (* z z)) (* 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) (+ (* x x) (* y y))) (* z z))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (- (* y y) (* z z)) (* x x)))
  1/2
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  z
  x
  (- x)
2.915 * * * [progress]: adding candidates to table
3.026 * * [progress]: iteration 2 / 4
3.026 * * * [progress]: picking best candidate
3.037 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
3.037 * * * [progress]: localizing error
3.038 * * * [progress]: generating rewritten candidates
3.038 * * * [progress]: generating series expansions
3.038 * * * [progress]: simplifying candidates
3.038 * [simplify]: Simplifying:
  
3.038 * * [simplify]: iteration 0: 0 enodes
3.038 * * [simplify]: iteration complete: 0 enodes
3.038 * * [simplify]: Extracting #0: cost 0 inf + 0
3.038 * [simplify]: Simplified to:
  
3.038 * * * [progress]: adding candidates to table
3.039 * * [progress]: iteration 3 / 4
3.039 * * * [progress]: picking best candidate
3.044 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
3.045 * * * [progress]: localizing error
3.047 * * * [progress]: generating rewritten candidates
3.047 * * * [progress]: generating series expansions
3.047 * * * [progress]: simplifying candidates
3.047 * [simplify]: Simplifying:
  
3.047 * * [simplify]: iteration 0: 0 enodes
3.047 * * [simplify]: iteration complete: 0 enodes
3.047 * * [simplify]: Extracting #0: cost 0 inf + 0
3.047 * [simplify]: Simplified to:
  
3.047 * * * [progress]: adding candidates to table
3.048 * * [progress]: iteration 4 / 4
3.048 * * * [progress]: picking best candidate
3.051 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
3.051 * * * [progress]: localizing error
3.052 * * * [progress]: generating rewritten candidates
3.052 * * * [progress]: generating series expansions
3.052 * * * [progress]: simplifying candidates
3.052 * [simplify]: Simplifying:
  
3.052 * * [simplify]: iteration 0: 0 enodes
3.052 * * [simplify]: iteration complete: 0 enodes
3.052 * * [simplify]: Extracting #0: cost 0 inf + 0
3.052 * [simplify]: Simplified to:
  
3.052 * * * [progress]: adding candidates to table
3.053 * [progress]: [Phase 3 of 3] Extracting.
3.053 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.053 * * * [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)
3.053 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.097 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
3.165 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.244 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.313 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.357 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.420 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.499 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.549 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.621 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.671 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.776 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.841 * * * [regime]: Found split indices: #<option (#s(si 1 52) #s(si 2 212) #s(si 0 255))>
3.841 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.908 * [regimes]: Found splitpoints: (#s(sp 1 x -9.708346480390896e+60) #s(sp 2 x 3.944222842624814e+93) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
3.908 * [simplify]: Simplifying:
  (if (<= x -9.708346480390896e+60) (- x) (if (<= x 3.944222842624814e+93) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
3.908 * * [simplify]: iteration 0: 16 enodes
3.910 * * [simplify]: iteration 1: 18 enodes
3.911 * * [simplify]: iteration complete: 18 enodes
3.911 * * [simplify]: Extracting #0: cost 1 inf + 0
3.911 * * [simplify]: Extracting #1: cost 4 inf + 0
3.911 * * [simplify]: Extracting #2: cost 8 inf + 0
3.911 * * [simplify]: Extracting #3: cost 8 inf + 2
3.911 * * [simplify]: Extracting #4: cost 6 inf + 178
3.911 * * [simplify]: Extracting #5: cost 9 inf + 178
3.912 * * [simplify]: Extracting #6: cost 7 inf + 261
3.912 * * [simplify]: Extracting #7: cost 6 inf + 262
3.912 * * [simplify]: Extracting #8: cost 4 inf + 425
3.912 * * [simplify]: Extracting #9: cost 2 inf + 871
3.913 * * [simplify]: Extracting #10: cost 0 inf + 1790
3.913 * [simplify]: Simplified to:
  (if (<= x -9.708346480390896e+60) (- x) (if (<= x 3.944222842624814e+93) (sqrt (+ (* z z) (+ (* y y) (* x x)))) x))
5.670 * [regime-testing]: Baseline error score: 38.167472237557945
5.678 * [regime-testing]: Oracle error score: 18.292377161504156
5.707 * [regime-testing]: End program error score: 25.878098641820433
5.846 * [regime-testing]: Target error score: 25.866315832630136