80.128 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.033 * * [simplify]: iteration 0: 9 enodes
0.034 * * [simplify]: iteration 1: 13 enodes
0.036 * * [simplify]: iteration 2: 20 enodes
0.038 * * [simplify]: iteration 3: 23 enodes
0.040 * * [simplify]: iteration complete: 23 enodes
0.040 * * [simplify]: Extracting #0: cost 1 inf + 0
0.040 * * [simplify]: Extracting #1: cost 2 inf + 0
0.040 * * [simplify]: Extracting #2: cost 8 inf + 0
0.040 * * [simplify]: Extracting #3: cost 11 inf + 0
0.040 * * [simplify]: Extracting #4: cost 8 inf + 3
0.040 * * [simplify]: Extracting #5: cost 1 inf + 816
0.041 * * [simplify]: Extracting #6: cost 0 inf + 938
0.041 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
0.041 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.051 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.051 * * * [progress]: localizing error
0.070 * * * [progress]: generating rewritten candidates
0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.142 * * * [progress]: generating series expansions
0.142 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.143 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.143 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.143 * [taylor]: Taking taylor expansion of y in z
0.143 * [backup-simplify]: Simplify y into y
0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.143 * [taylor]: Taking taylor expansion of x in z
0.143 * [backup-simplify]: Simplify x into x
0.143 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.143 * [taylor]: Taking taylor expansion of z in z
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.147 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.147 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.148 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.148 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.148 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.149 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.149 * [taylor]: Taking taylor expansion of y in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.150 * [taylor]: Taking taylor expansion of x in y
0.150 * [backup-simplify]: Simplify x into x
0.150 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.150 * [taylor]: Taking taylor expansion of z in y
0.150 * [backup-simplify]: Simplify z into z
0.150 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.150 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.150 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.150 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.151 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.151 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.151 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.152 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.152 * [taylor]: Taking taylor expansion of y in x
0.152 * [backup-simplify]: Simplify y into y
0.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.152 * [taylor]: Taking taylor expansion of x in x
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.152 * [taylor]: Taking taylor expansion of z in x
0.152 * [backup-simplify]: Simplify z into z
0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.152 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.153 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.153 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.153 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.153 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.155 * [taylor]: Taking taylor expansion of z in x
0.155 * [backup-simplify]: Simplify z into z
0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.155 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.155 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.155 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.156 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.156 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.157 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.157 * [taylor]: Taking taylor expansion of z in y
0.157 * [backup-simplify]: Simplify z into z
0.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.158 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.158 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.158 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
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 0 into 0
0.158 * [taylor]: Taking taylor expansion of 0 in y
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [taylor]: Taking taylor expansion of 0 in z
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [taylor]: Taking taylor expansion of 0 in z
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.160 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [backup-simplify]: Simplify (+ 0 1) into 1
0.161 * [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)))))
0.161 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.161 * [taylor]: Taking taylor expansion of 1/2 in y
0.161 * [backup-simplify]: Simplify 1/2 into 1/2
0.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.161 * [taylor]: Taking taylor expansion of y in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.161 * [taylor]: Taking taylor expansion of z in y
0.161 * [backup-simplify]: Simplify z into z
0.161 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.161 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.161 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.161 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.161 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.162 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.162 * [taylor]: Taking taylor expansion of 1/2 in z
0.162 * [backup-simplify]: Simplify 1/2 into 1/2
0.162 * [taylor]: Taking taylor expansion of z in z
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.164 * [backup-simplify]: Simplify (+ 1 0) into 1
0.164 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.164 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.164 * [taylor]: Taking taylor expansion of 1/2 in z
0.164 * [backup-simplify]: Simplify 1/2 into 1/2
0.164 * [taylor]: Taking taylor expansion of z in z
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.166 * [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)))))
0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.166 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.166 * [taylor]: Taking taylor expansion of y in z
0.166 * [backup-simplify]: Simplify y into y
0.166 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.166 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.166 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.166 * [taylor]: Taking taylor expansion of x in z
0.166 * [backup-simplify]: Simplify x into x
0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.167 * [taylor]: Taking taylor expansion of z in z
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [backup-simplify]: Simplify (+ 0 1) into 1
0.168 * [backup-simplify]: Simplify (+ 0 1) into 1
0.168 * [backup-simplify]: Simplify (sqrt 1) into 1
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.170 * [taylor]: Taking taylor expansion of y in y
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.170 * [taylor]: Taking taylor expansion of x in y
0.170 * [backup-simplify]: Simplify x into x
0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.171 * [taylor]: Taking taylor expansion of z in y
0.171 * [backup-simplify]: Simplify z into z
0.171 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.173 * [taylor]: Taking taylor expansion of y in x
0.173 * [backup-simplify]: Simplify y into y
0.173 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.173 * [taylor]: Taking taylor expansion of x in x
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 1 1) into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.174 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.174 * [taylor]: Taking taylor expansion of z in x
0.174 * [backup-simplify]: Simplify z into z
0.174 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.174 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.175 * [backup-simplify]: Simplify (+ 1 0) into 1
0.175 * [backup-simplify]: Simplify (+ 0 1) into 1
0.175 * [backup-simplify]: Simplify (sqrt 1) into 1
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.178 * [taylor]: Taking taylor expansion of y in x
0.178 * [backup-simplify]: Simplify y into y
0.178 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.179 * [taylor]: Taking taylor expansion of x in x
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (* 1 1) into 1
0.180 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.180 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.180 * [taylor]: Taking taylor expansion of z in x
0.180 * [backup-simplify]: Simplify z into z
0.180 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.181 * [backup-simplify]: Simplify (+ 0 1) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.185 * [taylor]: Taking taylor expansion of 1 in y
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of 0 in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 1 in z
0.185 * [backup-simplify]: Simplify 1 into 1
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 (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.187 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.189 * [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))))
0.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.189 * [taylor]: Taking taylor expansion of 1/2 in y
0.189 * [backup-simplify]: Simplify 1/2 into 1/2
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.189 * [taylor]: Taking taylor expansion of y in y
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.190 * [taylor]: Taking taylor expansion of z in y
0.190 * [backup-simplify]: Simplify z into z
0.190 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.190 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
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 (+ 1 0) into 1
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.195 * [taylor]: Taking taylor expansion of 0 in y
0.195 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.197 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.197 * [taylor]: Taking taylor expansion of 1/2 in z
0.198 * [backup-simplify]: Simplify 1/2 into 1/2
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.198 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.198 * [taylor]: Taking taylor expansion of z in z
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
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [taylor]: Taking taylor expansion of 0 in z
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [taylor]: Taking taylor expansion of 0 in z
0.200 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [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))))))
0.207 * [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
0.207 * [taylor]: Taking taylor expansion of -1/2 in y
0.207 * [backup-simplify]: Simplify -1/2 into -1/2
0.207 * [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
0.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.207 * [taylor]: Taking taylor expansion of 1/2 in y
0.207 * [backup-simplify]: Simplify 1/2 into 1/2
0.207 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.207 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.207 * [taylor]: Taking taylor expansion of z in y
0.207 * [backup-simplify]: Simplify z into z
0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.207 * [taylor]: Taking taylor expansion of y in y
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.208 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.208 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.208 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.208 * [taylor]: Taking taylor expansion of 1/4 in y
0.208 * [backup-simplify]: Simplify 1/4 into 1/4
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.208 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.208 * [taylor]: Taking taylor expansion of y in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 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 (* 1/4 (/ 1 (pow z 4))) in y
0.209 * [taylor]: Taking taylor expansion of 1/4 in y
0.209 * [backup-simplify]: Simplify 1/4 into 1/4
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.209 * [taylor]: Taking taylor expansion of (pow z 4) 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)
0.210 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.210 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.211 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.224 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.224 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.225 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.230 * [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)))))
0.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.230 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.230 * [taylor]: Taking taylor expansion of y in z
0.230 * [backup-simplify]: Simplify y into y
0.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.230 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.230 * [taylor]: Taking taylor expansion of x in z
0.230 * [backup-simplify]: Simplify x into x
0.230 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.230 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.230 * [taylor]: Taking taylor expansion of z in z
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (* 1 1) into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [backup-simplify]: Simplify (+ 0 1) into 1
0.231 * [backup-simplify]: Simplify (+ 0 1) into 1
0.231 * [backup-simplify]: Simplify (sqrt 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.233 * [taylor]: Taking taylor expansion of y in y
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.234 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.234 * [taylor]: Taking taylor expansion of z in y
0.234 * [backup-simplify]: Simplify z into z
0.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.234 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [backup-simplify]: Simplify (sqrt 1) into 1
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.236 * [taylor]: Taking taylor expansion of y in x
0.236 * [backup-simplify]: Simplify y into y
0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.237 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.237 * [taylor]: Taking taylor expansion of z in x
0.237 * [backup-simplify]: Simplify z into z
0.237 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.237 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.237 * [backup-simplify]: Simplify (+ 1 0) into 1
0.238 * [backup-simplify]: Simplify (+ 0 1) into 1
0.238 * [backup-simplify]: Simplify (sqrt 1) into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.240 * [taylor]: Taking taylor expansion of y in x
0.240 * [backup-simplify]: Simplify y into y
0.240 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1 1) into 1
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.241 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.241 * [taylor]: Taking taylor expansion of z in x
0.241 * [backup-simplify]: Simplify z into z
0.241 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.241 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.241 * [backup-simplify]: Simplify (+ 1 0) into 1
0.242 * [backup-simplify]: Simplify (+ 0 1) into 1
0.242 * [backup-simplify]: Simplify (sqrt 1) into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.244 * [taylor]: Taking taylor expansion of 1 in y
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of 0 in y
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [taylor]: Taking taylor expansion of 1 in z
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.245 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.246 * [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))))
0.246 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.246 * [taylor]: Taking taylor expansion of 1/2 in y
0.246 * [backup-simplify]: Simplify 1/2 into 1/2
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
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
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.247 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.247 * [taylor]: Taking taylor expansion of z in y
0.247 * [backup-simplify]: Simplify z into z
0.247 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.247 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in z
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.251 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [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 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.253 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.253 * [taylor]: Taking taylor expansion of 1/2 in z
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.253 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.253 * [taylor]: Taking taylor expansion of z in z
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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [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))))))
0.259 * [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
0.259 * [taylor]: Taking taylor expansion of -1/2 in y
0.259 * [backup-simplify]: Simplify -1/2 into -1/2
0.259 * [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
0.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.259 * [taylor]: Taking taylor expansion of 1/2 in y
0.259 * [backup-simplify]: Simplify 1/2 into 1/2
0.259 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.259 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.259 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.259 * [taylor]: Taking taylor expansion of z in y
0.259 * [backup-simplify]: Simplify z into z
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 (* z z) into (pow z 2)
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.260 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.260 * [taylor]: Taking taylor expansion of 1/4 in y
0.260 * [backup-simplify]: Simplify 1/4 into 1/4
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.260 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.263 * [taylor]: Taking taylor expansion of 1/4 in y
0.263 * [backup-simplify]: Simplify 1/4 into 1/4
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.263 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.263 * [taylor]: Taking taylor expansion of z in y
0.263 * [backup-simplify]: Simplify z into z
0.263 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.263 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.263 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.264 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.278 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.278 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.279 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.279 * [taylor]: Taking taylor expansion of 0 in z
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in z
0.280 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in z
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [taylor]: Taking taylor expansion of 0 in z
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [taylor]: Taking taylor expansion of 0 in z
0.284 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.287 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.287 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.287 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.287 * [taylor]: Taking taylor expansion of y in z
0.287 * [backup-simplify]: Simplify y into y
0.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.288 * [taylor]: Taking taylor expansion of x in z
0.288 * [backup-simplify]: Simplify x into x
0.288 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.288 * [taylor]: Taking taylor expansion of z in z
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.288 * [taylor]: Taking taylor expansion of y in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.288 * [taylor]: Taking taylor expansion of x in y
0.288 * [backup-simplify]: Simplify x into x
0.288 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.288 * [taylor]: Taking taylor expansion of z in y
0.288 * [backup-simplify]: Simplify z into z
0.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.288 * [taylor]: Taking taylor expansion of y in x
0.288 * [backup-simplify]: Simplify y into y
0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.289 * [taylor]: Taking taylor expansion of z in x
0.289 * [backup-simplify]: Simplify z into z
0.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.289 * [taylor]: Taking taylor expansion of y in x
0.289 * [backup-simplify]: Simplify y into y
0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.289 * [taylor]: Taking taylor expansion of x in x
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.289 * [taylor]: Taking taylor expansion of z in x
0.289 * [backup-simplify]: Simplify z into z
0.290 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.290 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.290 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.290 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.290 * [taylor]: Taking taylor expansion of y in y
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.291 * [taylor]: Taking taylor expansion of z in y
0.291 * [backup-simplify]: Simplify z into z
0.291 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.291 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.291 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.291 * [taylor]: Taking taylor expansion of z in z
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.291 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in y
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in z
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.294 * [backup-simplify]: Simplify (* 1 1) into 1
0.295 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.295 * [backup-simplify]: Simplify (+ 1 0) into 1
0.295 * [backup-simplify]: Simplify (+ 0 1) into 1
0.295 * [taylor]: Taking taylor expansion of 1 in y
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [taylor]: Taking taylor expansion of 1 in z
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [taylor]: Taking taylor expansion of 0 in z
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.297 * [backup-simplify]: Simplify (+ 1 0) into 1
0.297 * [taylor]: Taking taylor expansion of 1 in z
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [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)))
0.299 * [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))))
0.299 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.299 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.299 * [taylor]: Taking taylor expansion of y in z
0.299 * [backup-simplify]: Simplify y into y
0.299 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.300 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.300 * [taylor]: Taking taylor expansion of x in z
0.300 * [backup-simplify]: Simplify x into x
0.300 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.300 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.300 * [taylor]: Taking taylor expansion of z in z
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.301 * [taylor]: Taking taylor expansion of y in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.302 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.302 * [taylor]: Taking taylor expansion of x in y
0.302 * [backup-simplify]: Simplify x into x
0.302 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.302 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.302 * [taylor]: Taking taylor expansion of z in y
0.303 * [backup-simplify]: Simplify z into z
0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.303 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.303 * [taylor]: Taking taylor expansion of y in x
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 x
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [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 z 2)) in x
0.304 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.304 * [taylor]: Taking taylor expansion of z in x
0.304 * [backup-simplify]: Simplify z into z
0.304 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.305 * [taylor]: Taking taylor expansion of y in x
0.305 * [backup-simplify]: Simplify y into y
0.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.305 * [taylor]: Taking taylor expansion of x in x
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
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.306 * [taylor]: Taking taylor expansion of z in x
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))
0.307 * [backup-simplify]: Simplify (+ 1 0) into 1
0.307 * [backup-simplify]: Simplify (+ 0 1) into 1
0.307 * [taylor]: Taking taylor expansion of 1 in y
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.312 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.312 * [taylor]: Taking taylor expansion of y in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.313 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.313 * [taylor]: Taking taylor expansion of z in y
0.313 * [backup-simplify]: Simplify z into z
0.313 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.313 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.314 * [backup-simplify]: Simplify (+ 1 0) into 1
0.314 * [taylor]: Taking taylor expansion of 1 in z
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [taylor]: Taking taylor expansion of 1 in z
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [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
0.320 * [taylor]: Taking taylor expansion of 0 in z
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 0 in z
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 0 in z
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.323 * [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
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.324 * [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
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.326 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.326 * [taylor]: Taking taylor expansion of z in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of 0 in z
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in z
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [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)))
0.329 * [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))))
0.329 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.329 * [taylor]: Taking taylor expansion of y in z
0.329 * [backup-simplify]: Simplify y into y
0.329 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.330 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.330 * [taylor]: Taking taylor expansion of x in z
0.330 * [backup-simplify]: Simplify x into x
0.330 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.330 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.330 * [taylor]: Taking taylor expansion of z in z
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.331 * [taylor]: Taking taylor expansion of y in y
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.332 * [taylor]: Taking taylor expansion of x in y
0.332 * [backup-simplify]: Simplify x into x
0.332 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.332 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.332 * [taylor]: Taking taylor expansion of z in y
0.333 * [backup-simplify]: Simplify z into z
0.333 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.333 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.333 * [taylor]: Taking taylor expansion of y in x
0.333 * [backup-simplify]: Simplify y into y
0.333 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.334 * [taylor]: Taking taylor expansion of z in x
0.334 * [backup-simplify]: Simplify z into z
0.334 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.334 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.334 * [backup-simplify]: Simplify y into y
0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.335 * [taylor]: Taking taylor expansion of x in x
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.335 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.335 * [taylor]: Taking taylor expansion of z in x
0.335 * [backup-simplify]: Simplify z into z
0.336 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (+ 0 1) into 1
0.337 * [taylor]: Taking taylor expansion of 1 in y
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.341 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.342 * [taylor]: Taking taylor expansion of y in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.343 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.343 * [taylor]: Taking taylor expansion of z in y
0.343 * [backup-simplify]: Simplify z into z
0.343 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.343 * [backup-simplify]: Simplify (+ 1 0) into 1
0.343 * [taylor]: Taking taylor expansion of 1 in z
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [taylor]: Taking taylor expansion of 1 in z
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [taylor]: Taking taylor expansion of 0 in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [taylor]: Taking taylor expansion of 0 in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [taylor]: Taking taylor expansion of 0 in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.357 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.357 * [taylor]: Taking taylor expansion of z in z
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [taylor]: Taking taylor expansion of 0 in z
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [taylor]: Taking taylor expansion of 0 in z
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [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)))
0.359 * * * [progress]: simplifying candidates
0.360 * [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))) (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 z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.361 * * [simplify]: iteration 0: 58 enodes
0.380 * * [simplify]: iteration 1: 163 enodes
0.462 * * [simplify]: iteration 2: 802 enodes
0.858 * * [simplify]: iteration complete: 5001 enodes
0.858 * * [simplify]: Extracting #0: cost 29 inf + 0
0.859 * * [simplify]: Extracting #1: cost 400 inf + 4
0.865 * * [simplify]: Extracting #2: cost 1428 inf + 1907
0.879 * * [simplify]: Extracting #3: cost 2190 inf + 18941
0.929 * * [simplify]: Extracting #4: cost 1244 inf + 186558
1.053 * * [simplify]: Extracting #5: cost 149 inf + 485643
1.211 * * [simplify]: Extracting #6: cost 5 inf + 528301
1.386 * * [simplify]: Extracting #7: cost 0 inf + 529766
1.489 * [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))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))))
  (sqrt (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (- (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z))))
  (sqrt (+ (* (+ y z) (- y z)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (+ (* x x) (+ (* y y) (* 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))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))))
  (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (- (* z z) (+ (* y y) (* x x)))))
  (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (* z z)))
  (+ (* (+ y z) (- y z)) (* x x))
  (+ (* z z) (* y y))
  z
  x
  (- x)
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
1.491 * * * [progress]: adding candidates to table
1.622 * * [progress]: iteration 2 / 4
1.622 * * * [progress]: picking best candidate
1.636 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
1.636 * * * [progress]: localizing error
1.679 * * * [progress]: generating rewritten candidates
1.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.702 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.724 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.851 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
1.884 * * * [progress]: generating series expansions
1.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.884 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.885 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.885 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.885 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.885 * [taylor]: Taking taylor expansion of y in z
1.885 * [backup-simplify]: Simplify y into y
1.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.885 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.885 * [taylor]: Taking taylor expansion of x in z
1.885 * [backup-simplify]: Simplify x into x
1.885 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.885 * [taylor]: Taking taylor expansion of z in z
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.885 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.885 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.885 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.886 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.886 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.886 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.887 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.887 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.887 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.887 * [taylor]: Taking taylor expansion of y in y
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 1 into 1
1.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.888 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.888 * [taylor]: Taking taylor expansion of x in y
1.888 * [backup-simplify]: Simplify x into x
1.888 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.888 * [taylor]: Taking taylor expansion of z in y
1.888 * [backup-simplify]: Simplify z into z
1.888 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.888 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.888 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.888 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.889 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.889 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.889 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.890 * [taylor]: Taking taylor expansion of z in x
1.890 * [backup-simplify]: Simplify z into z
1.890 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.891 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.891 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.891 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.891 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.891 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.893 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.893 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.893 * [taylor]: Taking taylor expansion of y in x
1.893 * [backup-simplify]: Simplify y into y
1.893 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.893 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.893 * [taylor]: Taking taylor expansion of x in x
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify 1 into 1
1.893 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.893 * [taylor]: Taking taylor expansion of z in x
1.893 * [backup-simplify]: Simplify z into z
1.893 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.893 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.893 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.894 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.894 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.894 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.894 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.895 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.895 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.895 * [taylor]: Taking taylor expansion of y in y
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 1 into 1
1.895 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.895 * [taylor]: Taking taylor expansion of z in y
1.895 * [backup-simplify]: Simplify z into z
1.895 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.896 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.896 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.896 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.896 * [taylor]: Taking taylor expansion of z in z
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 1 into 1
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [taylor]: Taking taylor expansion of 0 in y
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [taylor]: Taking taylor expansion of 0 in z
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [taylor]: Taking taylor expansion of 0 in z
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 1 into 1
1.897 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.898 * [backup-simplify]: Simplify (* 1 1) into 1
1.898 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.899 * [backup-simplify]: Simplify (+ 1 0) into 1
1.899 * [backup-simplify]: Simplify (+ 0 1) into 1
1.900 * [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)))))
1.900 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.900 * [taylor]: Taking taylor expansion of 1/2 in y
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.901 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.901 * [taylor]: Taking taylor expansion of y in y
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.901 * [taylor]: Taking taylor expansion of z in y
1.901 * [backup-simplify]: Simplify z into z
1.901 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.901 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.901 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.901 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.901 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.902 * [backup-simplify]: Simplify (+ 0 0) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.902 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.902 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.902 * [taylor]: Taking taylor expansion of 1/2 in z
1.902 * [backup-simplify]: Simplify 1/2 into 1/2
1.902 * [taylor]: Taking taylor expansion of z in z
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [taylor]: Taking taylor expansion of 0 in z
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify (* 1 1) into 1
1.905 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.905 * [backup-simplify]: Simplify (+ 1 0) into 1
1.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.906 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.906 * [taylor]: Taking taylor expansion of 1/2 in z
1.906 * [backup-simplify]: Simplify 1/2 into 1/2
1.906 * [taylor]: Taking taylor expansion of z in z
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.907 * [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)))))
1.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.907 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.907 * [taylor]: Taking taylor expansion of y in z
1.907 * [backup-simplify]: Simplify y into y
1.907 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.908 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.908 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.908 * [taylor]: Taking taylor expansion of x in z
1.908 * [backup-simplify]: Simplify x into x
1.908 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.908 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.908 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.908 * [taylor]: Taking taylor expansion of z in z
1.908 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify 1 into 1
1.908 * [backup-simplify]: Simplify (* 1 1) into 1
1.908 * [backup-simplify]: Simplify (/ 1 1) into 1
1.910 * [backup-simplify]: Simplify (+ 0 1) into 1
1.910 * [backup-simplify]: Simplify (+ 0 1) into 1
1.911 * [backup-simplify]: Simplify (sqrt 1) into 1
1.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.913 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.913 * [taylor]: Taking taylor expansion of y in y
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.913 * [backup-simplify]: Simplify (* 1 1) into 1
1.913 * [backup-simplify]: Simplify (/ 1 1) into 1
1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.913 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.913 * [taylor]: Taking taylor expansion of x in y
1.913 * [backup-simplify]: Simplify x into x
1.913 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.913 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.914 * [taylor]: Taking taylor expansion of z in y
1.914 * [backup-simplify]: Simplify z into z
1.914 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.914 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.914 * [backup-simplify]: Simplify (+ 1 0) into 1
1.914 * [backup-simplify]: Simplify (sqrt 1) into 1
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.916 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.916 * [taylor]: Taking taylor expansion of y in x
1.916 * [backup-simplify]: Simplify y into y
1.916 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.916 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.916 * [taylor]: Taking taylor expansion of x in x
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify (* 1 1) into 1
1.917 * [backup-simplify]: Simplify (/ 1 1) into 1
1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.917 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.917 * [taylor]: Taking taylor expansion of z in x
1.917 * [backup-simplify]: Simplify z into z
1.917 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.917 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.917 * [backup-simplify]: Simplify (+ 1 0) into 1
1.918 * [backup-simplify]: Simplify (+ 0 1) into 1
1.918 * [backup-simplify]: Simplify (sqrt 1) into 1
1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.920 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.920 * [taylor]: Taking taylor expansion of y in x
1.920 * [backup-simplify]: Simplify y into y
1.920 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.920 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.920 * [taylor]: Taking taylor expansion of x in x
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.920 * [backup-simplify]: Simplify (* 1 1) into 1
1.920 * [backup-simplify]: Simplify (/ 1 1) into 1
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.920 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.920 * [taylor]: Taking taylor expansion of z in x
1.920 * [backup-simplify]: Simplify z into z
1.920 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.921 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.921 * [backup-simplify]: Simplify (+ 1 0) into 1
1.921 * [backup-simplify]: Simplify (+ 0 1) into 1
1.921 * [backup-simplify]: Simplify (sqrt 1) into 1
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.923 * [taylor]: Taking taylor expansion of 1 in y
1.923 * [backup-simplify]: Simplify 1 into 1
1.923 * [taylor]: Taking taylor expansion of 0 in y
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [taylor]: Taking taylor expansion of 1 in z
1.923 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.924 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.925 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.925 * [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))))
1.925 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.925 * [taylor]: Taking taylor expansion of 1/2 in y
1.925 * [backup-simplify]: Simplify 1/2 into 1/2
1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.926 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.926 * [taylor]: Taking taylor expansion of y in y
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (* 1 1) into 1
1.926 * [backup-simplify]: Simplify (/ 1 1) into 1
1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.926 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.926 * [taylor]: Taking taylor expansion of z in y
1.926 * [backup-simplify]: Simplify z into z
1.926 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.926 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.928 * [backup-simplify]: Simplify (+ 1 0) into 1
1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.928 * [taylor]: Taking taylor expansion of 0 in z
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [taylor]: Taking taylor expansion of 0 in z
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [taylor]: Taking taylor expansion of 0 in z
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.931 * [taylor]: Taking taylor expansion of 0 in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.932 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.933 * [taylor]: Taking taylor expansion of 1/2 in z
1.933 * [backup-simplify]: Simplify 1/2 into 1/2
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.933 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.933 * [taylor]: Taking taylor expansion of z in z
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [backup-simplify]: Simplify (* 1 1) into 1
1.933 * [backup-simplify]: Simplify (/ 1 1) into 1
1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.935 * [taylor]: Taking taylor expansion of 0 in z
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [taylor]: Taking taylor expansion of 0 in z
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [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))))))
1.941 * [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
1.941 * [taylor]: Taking taylor expansion of -1/2 in y
1.942 * [backup-simplify]: Simplify -1/2 into -1/2
1.942 * [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
1.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.942 * [taylor]: Taking taylor expansion of 1/2 in y
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.942 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.942 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.942 * [taylor]: Taking taylor expansion of z in y
1.942 * [backup-simplify]: Simplify z into z
1.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.942 * [taylor]: Taking taylor expansion of y in y
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.943 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.943 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.943 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.943 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.943 * [taylor]: Taking taylor expansion of 1/4 in y
1.943 * [backup-simplify]: Simplify 1/4 into 1/4
1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.943 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.943 * [taylor]: Taking taylor expansion of y in y
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (* 1 1) into 1
1.944 * [backup-simplify]: Simplify (* 1 1) into 1
1.944 * [backup-simplify]: Simplify (/ 1 1) into 1
1.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.944 * [taylor]: Taking taylor expansion of 1/4 in y
1.944 * [backup-simplify]: Simplify 1/4 into 1/4
1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.944 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.944 * [taylor]: Taking taylor expansion of z in y
1.944 * [backup-simplify]: Simplify z into z
1.944 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.945 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.945 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.945 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.946 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.961 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.961 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.963 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.963 * [taylor]: Taking taylor expansion of 0 in z
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [taylor]: Taking taylor expansion of 0 in z
1.963 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.967 * [taylor]: Taking taylor expansion of 0 in z
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [taylor]: Taking taylor expansion of 0 in z
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [taylor]: Taking taylor expansion of 0 in z
1.967 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.971 * [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)))))
1.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.971 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.971 * [taylor]: Taking taylor expansion of y in z
1.971 * [backup-simplify]: Simplify y into y
1.971 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.972 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.972 * [taylor]: Taking taylor expansion of x in z
1.972 * [backup-simplify]: Simplify x into x
1.972 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.972 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.972 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.972 * [taylor]: Taking taylor expansion of z in z
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (* 1 1) into 1
1.973 * [backup-simplify]: Simplify (/ 1 1) into 1
1.973 * [backup-simplify]: Simplify (+ 0 1) into 1
1.974 * [backup-simplify]: Simplify (+ 0 1) into 1
1.974 * [backup-simplify]: Simplify (sqrt 1) into 1
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.977 * [taylor]: Taking taylor expansion of y in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (* 1 1) into 1
1.978 * [backup-simplify]: Simplify (/ 1 1) into 1
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.978 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.978 * [taylor]: Taking taylor expansion of x in y
1.978 * [backup-simplify]: Simplify x into x
1.978 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.978 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.979 * [taylor]: Taking taylor expansion of z in y
1.979 * [backup-simplify]: Simplify z into z
1.979 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.979 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.979 * [backup-simplify]: Simplify (+ 1 0) into 1
1.980 * [backup-simplify]: Simplify (sqrt 1) into 1
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.982 * [taylor]: Taking taylor expansion of y in x
1.982 * [backup-simplify]: Simplify y into y
1.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.983 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.983 * [taylor]: Taking taylor expansion of x in x
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* 1 1) into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.984 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.984 * [taylor]: Taking taylor expansion of z in x
1.984 * [backup-simplify]: Simplify z into z
1.984 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.984 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.984 * [backup-simplify]: Simplify (+ 1 0) into 1
1.985 * [backup-simplify]: Simplify (+ 0 1) into 1
1.985 * [backup-simplify]: Simplify (sqrt 1) into 1
1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1))) into 0
1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.988 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.989 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.989 * [taylor]: Taking taylor expansion of x in x
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (* 1 1) into 1
1.989 * [backup-simplify]: Simplify (/ 1 1) into 1
1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.989 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.989 * [taylor]: Taking taylor expansion of z in x
1.989 * [backup-simplify]: Simplify z into z
1.990 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.990 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.990 * [backup-simplify]: Simplify (+ 1 0) into 1
1.991 * [backup-simplify]: Simplify (+ 0 1) into 1
1.991 * [backup-simplify]: Simplify (sqrt 1) into 1
1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1))) into 0
1.994 * [taylor]: Taking taylor expansion of 1 in y
1.994 * [backup-simplify]: Simplify 1 into 1
1.994 * [taylor]: Taking taylor expansion of 0 in y
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [taylor]: Taking taylor expansion of 1 in z
1.994 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.996 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.997 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.998 * [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))))
1.998 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.998 * [taylor]: Taking taylor expansion of 1/2 in y
1.998 * [backup-simplify]: Simplify 1/2 into 1/2
1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.998 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.998 * [taylor]: Taking taylor expansion of y in y
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* 1 1) into 1
1.999 * [backup-simplify]: Simplify (/ 1 1) into 1
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.999 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.999 * [taylor]: Taking taylor expansion of z in y
1.999 * [backup-simplify]: Simplify z into z
1.999 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.999 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (+ 1 0) into 1
2.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.002 * [taylor]: Taking taylor expansion of 0 in z
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [taylor]: Taking taylor expansion of 0 in z
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [taylor]: Taking taylor expansion of 0 in z
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 1 into 1
2.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.007 * [taylor]: Taking taylor expansion of 0 in y
2.007 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.010 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.010 * [taylor]: Taking taylor expansion of 1/2 in z
2.010 * [backup-simplify]: Simplify 1/2 into 1/2
2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.010 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.010 * [taylor]: Taking taylor expansion of z in z
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.011 * [backup-simplify]: Simplify (* 1 1) into 1
2.011 * [backup-simplify]: Simplify (/ 1 1) into 1
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [taylor]: Taking taylor expansion of 0 in z
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [taylor]: Taking taylor expansion of 0 in z
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 0) into 0
2.024 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [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))))))
2.025 * [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
2.025 * [taylor]: Taking taylor expansion of -1/2 in y
2.025 * [backup-simplify]: Simplify -1/2 into -1/2
2.025 * [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
2.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.025 * [taylor]: Taking taylor expansion of 1/2 in y
2.025 * [backup-simplify]: Simplify 1/2 into 1/2
2.025 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.025 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.025 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.025 * [taylor]: Taking taylor expansion of z in y
2.025 * [backup-simplify]: Simplify z into z
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.025 * [taylor]: Taking taylor expansion of y in y
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.025 * [backup-simplify]: Simplify (* 1 1) into 1
2.025 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.025 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.025 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.026 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.026 * [taylor]: Taking taylor expansion of 1/4 in y
2.026 * [backup-simplify]: Simplify 1/4 into 1/4
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.026 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.026 * [taylor]: Taking taylor expansion of y in y
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.027 * [taylor]: Taking taylor expansion of 1/4 in y
2.027 * [backup-simplify]: Simplify 1/4 into 1/4
2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.027 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.027 * [taylor]: Taking taylor expansion of z in y
2.027 * [backup-simplify]: Simplify z into z
2.027 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.027 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.027 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.027 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.028 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.035 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.037 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.037 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.038 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.038 * [taylor]: Taking taylor expansion of 0 in z
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [taylor]: Taking taylor expansion of 0 in z
2.038 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.041 * [taylor]: Taking taylor expansion of 0 in z
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [taylor]: Taking taylor expansion of 0 in z
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [taylor]: Taking taylor expansion of 0 in z
2.041 * [backup-simplify]: Simplify 0 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.043 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
2.043 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
2.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
2.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.043 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.043 * [taylor]: Taking taylor expansion of y in z
2.043 * [backup-simplify]: Simplify y into y
2.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.043 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.043 * [taylor]: Taking taylor expansion of x in z
2.043 * [backup-simplify]: Simplify x into x
2.043 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.043 * [taylor]: Taking taylor expansion of z in z
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.043 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.043 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.043 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
2.044 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.044 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.044 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.044 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.044 * [taylor]: Taking taylor expansion of y in y
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 1 into 1
2.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.044 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.044 * [taylor]: Taking taylor expansion of x in y
2.045 * [backup-simplify]: Simplify x into x
2.045 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.045 * [taylor]: Taking taylor expansion of z in y
2.045 * [backup-simplify]: Simplify z into z
2.045 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.045 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.045 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.045 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.045 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.045 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.045 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.046 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.046 * [taylor]: Taking taylor expansion of y in x
2.046 * [backup-simplify]: Simplify y into y
2.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.046 * [taylor]: Taking taylor expansion of x in x
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.046 * [taylor]: Taking taylor expansion of z in x
2.046 * [backup-simplify]: Simplify z into z
2.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.046 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.046 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.046 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.047 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.047 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.047 * [backup-simplify]: Simplify (+ 0 0) into 0
2.047 * [backup-simplify]: Simplify (+ 0 0) into 0
2.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.047 * [taylor]: Taking taylor expansion of y in x
2.047 * [backup-simplify]: Simplify y into y
2.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.047 * [taylor]: Taking taylor expansion of x in x
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.047 * [taylor]: Taking taylor expansion of z in x
2.048 * [backup-simplify]: Simplify z into z
2.048 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.048 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.048 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.048 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.048 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.048 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.048 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.048 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.049 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.049 * [taylor]: Taking taylor expansion of y in y
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 1 into 1
2.049 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.049 * [taylor]: Taking taylor expansion of z in y
2.049 * [backup-simplify]: Simplify z into z
2.049 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.049 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.049 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.049 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.050 * [taylor]: Taking taylor expansion of z in z
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [taylor]: Taking taylor expansion of 0 in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [taylor]: Taking taylor expansion of 0 in z
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [taylor]: Taking taylor expansion of 0 in z
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.050 * [backup-simplify]: Simplify (* 1 1) into 1
2.051 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.051 * [backup-simplify]: Simplify (+ 1 0) into 1
2.051 * [backup-simplify]: Simplify (+ 0 1) into 1
2.052 * [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)))))
2.052 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.052 * [taylor]: Taking taylor expansion of 1/2 in y
2.052 * [backup-simplify]: Simplify 1/2 into 1/2
2.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.052 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.052 * [taylor]: Taking taylor expansion of y in y
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.052 * [taylor]: Taking taylor expansion of z in y
2.052 * [backup-simplify]: Simplify z into z
2.052 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.052 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.052 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.052 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.052 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.053 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.053 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.053 * [taylor]: Taking taylor expansion of 1/2 in z
2.053 * [backup-simplify]: Simplify 1/2 into 1/2
2.053 * [taylor]: Taking taylor expansion of z in z
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.054 * [backup-simplify]: Simplify 0 into 0
2.054 * [taylor]: Taking taylor expansion of 0 in z
2.054 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify (* 1 1) into 1
2.055 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.055 * [backup-simplify]: Simplify (+ 1 0) into 1
2.056 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.056 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.056 * [taylor]: Taking taylor expansion of 1/2 in z
2.056 * [backup-simplify]: Simplify 1/2 into 1/2
2.056 * [taylor]: Taking taylor expansion of z in z
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.058 * [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)))))
2.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.059 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.059 * [taylor]: Taking taylor expansion of y in z
2.059 * [backup-simplify]: Simplify y into y
2.059 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.059 * [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 z
2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.059 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.059 * [taylor]: Taking taylor expansion of x in z
2.059 * [backup-simplify]: Simplify x into x
2.059 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.059 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.059 * [taylor]: Taking taylor expansion of z in z
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 1 into 1
2.060 * [backup-simplify]: Simplify (* 1 1) into 1
2.060 * [backup-simplify]: Simplify (/ 1 1) into 1
2.061 * [backup-simplify]: Simplify (+ 0 1) into 1
2.061 * [backup-simplify]: Simplify (+ 0 1) into 1
2.061 * [backup-simplify]: Simplify (sqrt 1) into 1
2.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.064 * [taylor]: Taking taylor expansion of y in y
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify 1 into 1
2.065 * [backup-simplify]: Simplify (* 1 1) into 1
2.065 * [backup-simplify]: Simplify (/ 1 1) into 1
2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.065 * [taylor]: Taking taylor expansion of x in y
2.065 * [backup-simplify]: Simplify x into x
2.066 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.066 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.066 * [taylor]: Taking taylor expansion of z in y
2.066 * [backup-simplify]: Simplify z into z
2.066 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.066 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.067 * [backup-simplify]: Simplify (+ 1 0) into 1
2.067 * [backup-simplify]: Simplify (sqrt 1) into 1
2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.069 * [backup-simplify]: Simplify (+ 0 0) into 0
2.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.070 * [taylor]: Taking taylor expansion of y in x
2.070 * [backup-simplify]: Simplify y into y
2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.070 * [taylor]: Taking taylor expansion of x in x
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (* 1 1) into 1
2.071 * [backup-simplify]: Simplify (/ 1 1) into 1
2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.071 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.071 * [taylor]: Taking taylor expansion of z in x
2.071 * [backup-simplify]: Simplify z into z
2.071 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.071 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.072 * [backup-simplify]: Simplify (+ 1 0) into 1
2.072 * [backup-simplify]: Simplify (+ 0 1) into 1
2.072 * [backup-simplify]: Simplify (sqrt 1) into 1
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.075 * [taylor]: Taking taylor expansion of y in x
2.075 * [backup-simplify]: Simplify y into y
2.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.075 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.076 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.076 * [taylor]: Taking taylor expansion of z in x
2.076 * [backup-simplify]: Simplify z into z
2.076 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.076 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.076 * [backup-simplify]: Simplify (+ 1 0) into 1
2.076 * [backup-simplify]: Simplify (+ 0 1) into 1
2.077 * [backup-simplify]: Simplify (sqrt 1) into 1
2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.079 * [taylor]: Taking taylor expansion of 1 in y
2.079 * [backup-simplify]: Simplify 1 into 1
2.079 * [taylor]: Taking taylor expansion of 0 in y
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [taylor]: Taking taylor expansion of 1 in z
2.079 * [backup-simplify]: Simplify 1 into 1
2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.081 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.081 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.083 * [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))))
2.083 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.083 * [taylor]: Taking taylor expansion of 1/2 in y
2.083 * [backup-simplify]: Simplify 1/2 into 1/2
2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.083 * [taylor]: Taking taylor expansion of y in y
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [backup-simplify]: Simplify (* 1 1) into 1
2.084 * [backup-simplify]: Simplify (/ 1 1) into 1
2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.084 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.084 * [taylor]: Taking taylor expansion of z in y
2.084 * [backup-simplify]: Simplify z into z
2.084 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.084 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.086 * [backup-simplify]: Simplify (+ 0 0) into 0
2.086 * [backup-simplify]: Simplify (+ 1 0) into 1
2.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.087 * [taylor]: Taking taylor expansion of 0 in z
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [taylor]: Taking taylor expansion of 0 in z
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [taylor]: Taking taylor expansion of 0 in z
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.090 * [backup-simplify]: Simplify (+ 0 0) into 0
2.091 * [backup-simplify]: Simplify (+ 0 0) into 0
2.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.091 * [taylor]: Taking taylor expansion of 0 in y
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.094 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.094 * [taylor]: Taking taylor expansion of 1/2 in z
2.094 * [backup-simplify]: Simplify 1/2 into 1/2
2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.094 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.094 * [taylor]: Taking taylor expansion of z in z
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.095 * [backup-simplify]: Simplify (/ 1 1) into 1
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [taylor]: Taking taylor expansion of 0 in z
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [taylor]: Taking taylor expansion of 0 in z
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.101 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.102 * [backup-simplify]: Simplify (+ 0 0) into 0
2.102 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [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))))))
2.104 * [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
2.104 * [taylor]: Taking taylor expansion of -1/2 in y
2.104 * [backup-simplify]: Simplify -1/2 into -1/2
2.104 * [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
2.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.104 * [taylor]: Taking taylor expansion of 1/2 in y
2.104 * [backup-simplify]: Simplify 1/2 into 1/2
2.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.104 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.104 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.104 * [taylor]: Taking taylor expansion of z in y
2.104 * [backup-simplify]: Simplify z into z
2.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.104 * [taylor]: Taking taylor expansion of y in y
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.105 * [backup-simplify]: Simplify (* 1 1) into 1
2.105 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.105 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.105 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.105 * [taylor]: Taking taylor expansion of 1/4 in y
2.105 * [backup-simplify]: Simplify 1/4 into 1/4
2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.105 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.105 * [taylor]: Taking taylor expansion of y in y
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (* 1 1) into 1
2.106 * [backup-simplify]: Simplify (* 1 1) into 1
2.106 * [backup-simplify]: Simplify (/ 1 1) into 1
2.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.106 * [taylor]: Taking taylor expansion of 1/4 in y
2.106 * [backup-simplify]: Simplify 1/4 into 1/4
2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.106 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.106 * [taylor]: Taking taylor expansion of z in y
2.106 * [backup-simplify]: Simplify z into z
2.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.107 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.107 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.108 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.108 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.120 * [backup-simplify]: Simplify (+ 0 0) into 0
2.120 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.121 * [backup-simplify]: Simplify (+ 0 0) into 0
2.122 * [backup-simplify]: Simplify (+ 0 0) into 0
2.122 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.122 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.123 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.124 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.124 * [taylor]: Taking taylor expansion of 0 in z
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [taylor]: Taking taylor expansion of 0 in z
2.124 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.127 * [backup-simplify]: Simplify (+ 0 0) into 0
2.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.128 * [taylor]: Taking taylor expansion of 0 in z
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [taylor]: Taking taylor expansion of 0 in z
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [taylor]: Taking taylor expansion of 0 in z
2.129 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.132 * [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)))))
2.132 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.132 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.133 * [taylor]: Taking taylor expansion of y in z
2.133 * [backup-simplify]: Simplify y into y
2.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.133 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.133 * [taylor]: Taking taylor expansion of x in z
2.133 * [backup-simplify]: Simplify x into x
2.133 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.133 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.133 * [taylor]: Taking taylor expansion of z in z
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
2.135 * [backup-simplify]: Simplify (+ 0 1) into 1
2.135 * [backup-simplify]: Simplify (+ 0 1) into 1
2.136 * [backup-simplify]: Simplify (sqrt 1) into 1
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.138 * [backup-simplify]: Simplify (+ 0 0) into 0
2.138 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.139 * [taylor]: Taking taylor expansion of y in y
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (* 1 1) into 1
2.140 * [backup-simplify]: Simplify (/ 1 1) into 1
2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.140 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.140 * [taylor]: Taking taylor expansion of x in y
2.140 * [backup-simplify]: Simplify x into x
2.140 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.140 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.140 * [taylor]: Taking taylor expansion of z in y
2.140 * [backup-simplify]: Simplify z into z
2.140 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.140 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.141 * [backup-simplify]: Simplify (+ 1 0) into 1
2.142 * [backup-simplify]: Simplify (sqrt 1) into 1
2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.143 * [backup-simplify]: Simplify (+ 0 0) into 0
2.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.144 * [taylor]: Taking taylor expansion of y in x
2.144 * [backup-simplify]: Simplify y into y
2.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.145 * [taylor]: Taking taylor expansion of x in x
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.145 * [backup-simplify]: Simplify (* 1 1) into 1
2.145 * [backup-simplify]: Simplify (/ 1 1) into 1
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.146 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.146 * [taylor]: Taking taylor expansion of z in x
2.146 * [backup-simplify]: Simplify z into z
2.146 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.151 * [backup-simplify]: Simplify (+ 1 0) into 1
2.152 * [backup-simplify]: Simplify (+ 0 1) into 1
2.152 * [backup-simplify]: Simplify (sqrt 1) into 1
2.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.155 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.155 * [taylor]: Taking taylor expansion of y in x
2.155 * [backup-simplify]: Simplify y into y
2.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.156 * [taylor]: Taking taylor expansion of x in x
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (* 1 1) into 1
2.157 * [backup-simplify]: Simplify (/ 1 1) into 1
2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.157 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.157 * [taylor]: Taking taylor expansion of z in x
2.157 * [backup-simplify]: Simplify z into z
2.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.157 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.158 * [backup-simplify]: Simplify (+ 1 0) into 1
2.158 * [backup-simplify]: Simplify (+ 0 1) into 1
2.159 * [backup-simplify]: Simplify (sqrt 1) into 1
2.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.162 * [taylor]: Taking taylor expansion of 1 in y
2.162 * [backup-simplify]: Simplify 1 into 1
2.162 * [taylor]: Taking taylor expansion of 0 in y
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [taylor]: Taking taylor expansion of 1 in z
2.162 * [backup-simplify]: Simplify 1 into 1
2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.164 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.164 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.166 * [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))))
2.166 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.166 * [taylor]: Taking taylor expansion of 1/2 in y
2.166 * [backup-simplify]: Simplify 1/2 into 1/2
2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.166 * [taylor]: Taking taylor expansion of y in y
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.167 * [backup-simplify]: Simplify (* 1 1) into 1
2.167 * [backup-simplify]: Simplify (/ 1 1) into 1
2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.167 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.167 * [taylor]: Taking taylor expansion of z in y
2.167 * [backup-simplify]: Simplify z into z
2.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.167 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.170 * [backup-simplify]: Simplify (+ 0 0) into 0
2.170 * [backup-simplify]: Simplify (+ 1 0) into 1
2.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.171 * [taylor]: Taking taylor expansion of 0 in z
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [taylor]: Taking taylor expansion of 0 in z
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [taylor]: Taking taylor expansion of 0 in z
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.174 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.175 * [backup-simplify]: Simplify (+ 0 0) into 0
2.175 * [backup-simplify]: Simplify (+ 0 0) into 0
2.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.176 * [taylor]: Taking taylor expansion of 0 in y
2.176 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.179 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.180 * [taylor]: Taking taylor expansion of 1/2 in z
2.180 * [backup-simplify]: Simplify 1/2 into 1/2
2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.180 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.180 * [taylor]: Taking taylor expansion of z in z
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (* 1 1) into 1
2.181 * [backup-simplify]: Simplify (/ 1 1) into 1
2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [taylor]: Taking taylor expansion of 0 in z
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [taylor]: Taking taylor expansion of 0 in z
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.187 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.187 * [backup-simplify]: Simplify (+ 0 0) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.190 * [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))))))
2.190 * [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
2.190 * [taylor]: Taking taylor expansion of -1/2 in y
2.190 * [backup-simplify]: Simplify -1/2 into -1/2
2.190 * [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
2.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.190 * [taylor]: Taking taylor expansion of 1/2 in y
2.190 * [backup-simplify]: Simplify 1/2 into 1/2
2.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.190 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.190 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.190 * [taylor]: Taking taylor expansion of z in y
2.190 * [backup-simplify]: Simplify z into z
2.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.190 * [taylor]: Taking taylor expansion of y in y
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.191 * [backup-simplify]: Simplify (* 1 1) into 1
2.191 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.191 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.191 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.191 * [taylor]: Taking taylor expansion of 1/4 in y
2.191 * [backup-simplify]: Simplify 1/4 into 1/4
2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.191 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.191 * [taylor]: Taking taylor expansion of y in y
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (* 1 1) into 1
2.192 * [backup-simplify]: Simplify (* 1 1) into 1
2.192 * [backup-simplify]: Simplify (/ 1 1) into 1
2.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.192 * [taylor]: Taking taylor expansion of 1/4 in y
2.192 * [backup-simplify]: Simplify 1/4 into 1/4
2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.192 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.192 * [taylor]: Taking taylor expansion of z in y
2.192 * [backup-simplify]: Simplify z into z
2.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.193 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.193 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.194 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.194 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.204 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.206 * [backup-simplify]: Simplify (+ 0 0) into 0
2.206 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.209 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.209 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.210 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.211 * [taylor]: Taking taylor expansion of 0 in z
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [taylor]: Taking taylor expansion of 0 in z
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.213 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.214 * [backup-simplify]: Simplify (+ 0 0) into 0
2.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.215 * [taylor]: Taking taylor expansion of 0 in z
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [taylor]: Taking taylor expansion of 0 in z
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [taylor]: Taking taylor expansion of 0 in z
2.215 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.218 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.219 * [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))))
2.219 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
2.219 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.219 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.219 * [taylor]: Taking taylor expansion of y in z
2.219 * [backup-simplify]: Simplify y into y
2.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.219 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.219 * [taylor]: Taking taylor expansion of x in z
2.219 * [backup-simplify]: Simplify x into x
2.219 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.219 * [taylor]: Taking taylor expansion of z in z
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 1 into 1
2.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.220 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.220 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.220 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
2.220 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.221 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
2.222 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.222 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.222 * [taylor]: Taking taylor expansion of y in y
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.222 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.222 * [taylor]: Taking taylor expansion of x in y
2.222 * [backup-simplify]: Simplify x into x
2.222 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.222 * [taylor]: Taking taylor expansion of z in y
2.222 * [backup-simplify]: Simplify z into z
2.222 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.222 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.222 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.223 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
2.223 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.223 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.223 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.224 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.224 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.224 * [taylor]: Taking taylor expansion of y in x
2.224 * [backup-simplify]: Simplify y into y
2.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.224 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.224 * [taylor]: Taking taylor expansion of x in x
2.224 * [backup-simplify]: Simplify 0 into 0
2.225 * [backup-simplify]: Simplify 1 into 1
2.225 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.225 * [taylor]: Taking taylor expansion of z in x
2.225 * [backup-simplify]: Simplify z into z
2.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.225 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.225 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.225 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.225 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.225 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.226 * [backup-simplify]: Simplify (+ 0 0) into 0
2.226 * [backup-simplify]: Simplify (+ 0 0) into 0
2.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
2.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.227 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.227 * [taylor]: Taking taylor expansion of y in x
2.227 * [backup-simplify]: Simplify y into y
2.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.227 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.227 * [taylor]: Taking taylor expansion of x in x
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 1 into 1
2.227 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.227 * [taylor]: Taking taylor expansion of z in x
2.227 * [backup-simplify]: Simplify z into z
2.227 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.227 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.227 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.227 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.228 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.228 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.228 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.228 * [backup-simplify]: Simplify (+ 0 0) into 0
2.228 * [backup-simplify]: Simplify (+ 0 0) into 0
2.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.229 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.229 * [taylor]: Taking taylor expansion of y in y
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify 1 into 1
2.229 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.229 * [taylor]: Taking taylor expansion of z in y
2.229 * [backup-simplify]: Simplify z into z
2.229 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.229 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.229 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.230 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.230 * [backup-simplify]: Simplify (+ 0 0) into 0
2.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.230 * [taylor]: Taking taylor expansion of z in z
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 1 into 1
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [taylor]: Taking taylor expansion of 0 in y
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [taylor]: Taking taylor expansion of 0 in z
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [taylor]: Taking taylor expansion of 0 in z
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 1 into 1
2.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.231 * [backup-simplify]: Simplify (* 1 1) into 1
2.232 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.232 * [backup-simplify]: Simplify (+ 1 0) into 1
2.233 * [backup-simplify]: Simplify (+ 0 1) into 1
2.234 * [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)))))
2.234 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.234 * [taylor]: Taking taylor expansion of 1/2 in y
2.234 * [backup-simplify]: Simplify 1/2 into 1/2
2.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.234 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.234 * [taylor]: Taking taylor expansion of y in y
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.234 * [taylor]: Taking taylor expansion of z in y
2.234 * [backup-simplify]: Simplify z into z
2.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.234 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.234 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.235 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.235 * [backup-simplify]: Simplify (+ 0 0) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.235 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.235 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.235 * [taylor]: Taking taylor expansion of 1/2 in z
2.236 * [backup-simplify]: Simplify 1/2 into 1/2
2.236 * [taylor]: Taking taylor expansion of z in z
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [taylor]: Taking taylor expansion of 0 in z
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify (* 1 1) into 1
2.238 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.238 * [backup-simplify]: Simplify (+ 1 0) into 1
2.239 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.239 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.239 * [taylor]: Taking taylor expansion of 1/2 in z
2.239 * [backup-simplify]: Simplify 1/2 into 1/2
2.239 * [taylor]: Taking taylor expansion of z in z
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.242 * [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)))))
2.242 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.242 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.242 * [taylor]: Taking taylor expansion of y in z
2.242 * [backup-simplify]: Simplify y into y
2.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.243 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.243 * [taylor]: Taking taylor expansion of x in z
2.243 * [backup-simplify]: Simplify x into x
2.243 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.243 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.243 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.243 * [taylor]: Taking taylor expansion of z in z
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 1 into 1
2.243 * [backup-simplify]: Simplify (* 1 1) into 1
2.244 * [backup-simplify]: Simplify (/ 1 1) into 1
2.244 * [backup-simplify]: Simplify (+ 0 1) into 1
2.245 * [backup-simplify]: Simplify (+ 0 1) into 1
2.245 * [backup-simplify]: Simplify (sqrt 1) into 1
2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.248 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.248 * [taylor]: Taking taylor expansion of y in y
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 1 into 1
2.248 * [backup-simplify]: Simplify (* 1 1) into 1
2.249 * [backup-simplify]: Simplify (/ 1 1) into 1
2.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.249 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.249 * [taylor]: Taking taylor expansion of x in y
2.249 * [backup-simplify]: Simplify x into x
2.249 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.249 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.249 * [taylor]: Taking taylor expansion of z in y
2.249 * [backup-simplify]: Simplify z into z
2.249 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.249 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.250 * [backup-simplify]: Simplify (+ 1 0) into 1
2.250 * [backup-simplify]: Simplify (sqrt 1) into 1
2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.251 * [backup-simplify]: Simplify (+ 0 0) into 0
2.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.252 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.252 * [taylor]: Taking taylor expansion of y in x
2.252 * [backup-simplify]: Simplify y into y
2.252 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.252 * [taylor]: Taking taylor expansion of x in x
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (* 1 1) into 1
2.253 * [backup-simplify]: Simplify (/ 1 1) into 1
2.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.253 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.253 * [taylor]: Taking taylor expansion of z in x
2.253 * [backup-simplify]: Simplify z into z
2.253 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.253 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.253 * [backup-simplify]: Simplify (+ 1 0) into 1
2.253 * [backup-simplify]: Simplify (+ 0 1) into 1
2.254 * [backup-simplify]: Simplify (sqrt 1) into 1
2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.255 * [backup-simplify]: Simplify (+ 0 0) into 0
2.255 * [backup-simplify]: Simplify (+ 0 0) into 0
2.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.256 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.256 * [taylor]: Taking taylor expansion of y in x
2.256 * [backup-simplify]: Simplify y into y
2.256 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.256 * [taylor]: Taking taylor expansion of x in x
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 1 into 1
2.256 * [backup-simplify]: Simplify (* 1 1) into 1
2.256 * [backup-simplify]: Simplify (/ 1 1) into 1
2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.256 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.256 * [taylor]: Taking taylor expansion of z in x
2.256 * [backup-simplify]: Simplify z into z
2.256 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.257 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.257 * [backup-simplify]: Simplify (+ 1 0) into 1
2.257 * [backup-simplify]: Simplify (+ 0 1) into 1
2.257 * [backup-simplify]: Simplify (sqrt 1) into 1
2.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.258 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.259 * [taylor]: Taking taylor expansion of 1 in y
2.259 * [backup-simplify]: Simplify 1 into 1
2.259 * [taylor]: Taking taylor expansion of 0 in y
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [taylor]: Taking taylor expansion of 1 in z
2.259 * [backup-simplify]: Simplify 1 into 1
2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.261 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.261 * [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))))
2.261 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.261 * [taylor]: Taking taylor expansion of 1/2 in y
2.261 * [backup-simplify]: Simplify 1/2 into 1/2
2.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.262 * [taylor]: Taking taylor expansion of y in y
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 1 into 1
2.262 * [backup-simplify]: Simplify (* 1 1) into 1
2.262 * [backup-simplify]: Simplify (/ 1 1) into 1
2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.262 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.262 * [taylor]: Taking taylor expansion of z in y
2.262 * [backup-simplify]: Simplify z into z
2.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.264 * [backup-simplify]: Simplify (+ 1 0) into 1
2.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.264 * [taylor]: Taking taylor expansion of 0 in z
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [taylor]: Taking taylor expansion of 0 in z
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [taylor]: Taking taylor expansion of 0 in z
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.266 * [backup-simplify]: Simplify (+ 0 0) into 0
2.266 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.267 * [taylor]: Taking taylor expansion of 0 in y
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.268 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.268 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.269 * [taylor]: Taking taylor expansion of 1/2 in z
2.269 * [backup-simplify]: Simplify 1/2 into 1/2
2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.269 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.269 * [taylor]: Taking taylor expansion of z in z
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (* 1 1) into 1
2.269 * [backup-simplify]: Simplify (/ 1 1) into 1
2.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [taylor]: Taking taylor expansion of 0 in z
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [taylor]: Taking taylor expansion of 0 in z
2.270 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify (+ 0 0) into 0
2.275 * [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))))))
2.275 * [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
2.275 * [taylor]: Taking taylor expansion of -1/2 in y
2.275 * [backup-simplify]: Simplify -1/2 into -1/2
2.275 * [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
2.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.275 * [taylor]: Taking taylor expansion of 1/2 in y
2.275 * [backup-simplify]: Simplify 1/2 into 1/2
2.275 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.275 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.275 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.275 * [taylor]: Taking taylor expansion of z in y
2.275 * [backup-simplify]: Simplify z into z
2.275 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.275 * [taylor]: Taking taylor expansion of y in y
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.275 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.275 * [backup-simplify]: Simplify (* 1 1) into 1
2.275 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.275 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.275 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.276 * [taylor]: Taking taylor expansion of 1/4 in y
2.276 * [backup-simplify]: Simplify 1/4 into 1/4
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.276 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.276 * [taylor]: Taking taylor expansion of y in y
2.276 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify 1 into 1
2.276 * [backup-simplify]: Simplify (* 1 1) into 1
2.276 * [backup-simplify]: Simplify (* 1 1) into 1
2.276 * [backup-simplify]: Simplify (/ 1 1) into 1
2.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.276 * [taylor]: Taking taylor expansion of 1/4 in y
2.276 * [backup-simplify]: Simplify 1/4 into 1/4
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.276 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.276 * [taylor]: Taking taylor expansion of z in y
2.276 * [backup-simplify]: Simplify z into z
2.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.277 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.277 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.277 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.278 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.291 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.293 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.295 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.296 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.296 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.297 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.297 * [taylor]: Taking taylor expansion of 0 in z
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [taylor]: Taking taylor expansion of 0 in z
2.297 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.300 * [backup-simplify]: Simplify (+ 0 0) into 0
2.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.301 * [taylor]: Taking taylor expansion of 0 in z
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [taylor]: Taking taylor expansion of 0 in z
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [taylor]: Taking taylor expansion of 0 in z
2.301 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.305 * [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)))))
2.305 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.305 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.305 * [taylor]: Taking taylor expansion of y in z
2.305 * [backup-simplify]: Simplify y into y
2.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.305 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.305 * [taylor]: Taking taylor expansion of x in z
2.305 * [backup-simplify]: Simplify x into x
2.305 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.306 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.306 * [taylor]: Taking taylor expansion of z in z
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (* 1 1) into 1
2.306 * [backup-simplify]: Simplify (/ 1 1) into 1
2.307 * [backup-simplify]: Simplify (+ 0 1) into 1
2.307 * [backup-simplify]: Simplify (+ 0 1) into 1
2.308 * [backup-simplify]: Simplify (sqrt 1) into 1
2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ 0 0) into 0
2.310 * [backup-simplify]: Simplify (+ 0 0) into 0
2.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.311 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.311 * [taylor]: Taking taylor expansion of y in y
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (* 1 1) into 1
2.311 * [backup-simplify]: Simplify (/ 1 1) into 1
2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.311 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.311 * [taylor]: Taking taylor expansion of x in y
2.311 * [backup-simplify]: Simplify x into x
2.312 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.312 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.312 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.312 * [taylor]: Taking taylor expansion of z in y
2.312 * [backup-simplify]: Simplify z into z
2.312 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.312 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.312 * [backup-simplify]: Simplify (+ 1 0) into 1
2.313 * [backup-simplify]: Simplify (sqrt 1) into 1
2.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.315 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.315 * [taylor]: Taking taylor expansion of y in x
2.315 * [backup-simplify]: Simplify y into y
2.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.316 * [taylor]: Taking taylor expansion of x in x
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (* 1 1) into 1
2.317 * [backup-simplify]: Simplify (/ 1 1) into 1
2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.317 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.317 * [taylor]: Taking taylor expansion of z in x
2.317 * [backup-simplify]: Simplify z into z
2.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.317 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.317 * [backup-simplify]: Simplify (+ 1 0) into 1
2.318 * [backup-simplify]: Simplify (+ 0 1) into 1
2.318 * [backup-simplify]: Simplify (sqrt 1) into 1
2.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.321 * [taylor]: Taking taylor expansion of y in x
2.321 * [backup-simplify]: Simplify y into y
2.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.322 * [taylor]: Taking taylor expansion of x in x
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (* 1 1) into 1
2.323 * [backup-simplify]: Simplify (/ 1 1) into 1
2.323 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.323 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.323 * [taylor]: Taking taylor expansion of z in x
2.323 * [backup-simplify]: Simplify z into z
2.323 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.323 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.324 * [backup-simplify]: Simplify (+ 1 0) into 1
2.324 * [backup-simplify]: Simplify (+ 0 1) into 1
2.324 * [backup-simplify]: Simplify (sqrt 1) into 1
2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.328 * [taylor]: Taking taylor expansion of 1 in y
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [taylor]: Taking taylor expansion of 0 in y
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [taylor]: Taking taylor expansion of 1 in z
2.328 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.330 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.332 * [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))))
2.332 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.332 * [taylor]: Taking taylor expansion of 1/2 in y
2.332 * [backup-simplify]: Simplify 1/2 into 1/2
2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.332 * [taylor]: Taking taylor expansion of y in y
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (* 1 1) into 1
2.333 * [backup-simplify]: Simplify (/ 1 1) into 1
2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.333 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.333 * [taylor]: Taking taylor expansion of z in y
2.333 * [backup-simplify]: Simplify z into z
2.333 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.333 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.335 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (+ 1 0) into 1
2.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.336 * [taylor]: Taking taylor expansion of 0 in z
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [taylor]: Taking taylor expansion of 0 in z
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [taylor]: Taking taylor expansion of 0 in z
2.336 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.341 * [taylor]: Taking taylor expansion of 0 in y
2.341 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.345 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.345 * [taylor]: Taking taylor expansion of 1/2 in z
2.345 * [backup-simplify]: Simplify 1/2 into 1/2
2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.345 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.345 * [taylor]: Taking taylor expansion of z in z
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 1 into 1
2.345 * [backup-simplify]: Simplify (* 1 1) into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [taylor]: Taking taylor expansion of 0 in z
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [taylor]: Taking taylor expansion of 0 in z
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.352 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [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))))))
2.355 * [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
2.355 * [taylor]: Taking taylor expansion of -1/2 in y
2.355 * [backup-simplify]: Simplify -1/2 into -1/2
2.355 * [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
2.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.355 * [taylor]: Taking taylor expansion of 1/2 in y
2.355 * [backup-simplify]: Simplify 1/2 into 1/2
2.355 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.355 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.355 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.355 * [taylor]: Taking taylor expansion of z in y
2.355 * [backup-simplify]: Simplify z into z
2.356 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.356 * [taylor]: Taking taylor expansion of y in y
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.356 * [backup-simplify]: Simplify (* 1 1) into 1
2.356 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.356 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.356 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.356 * [taylor]: Taking taylor expansion of 1/4 in y
2.356 * [backup-simplify]: Simplify 1/4 into 1/4
2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.357 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.357 * [taylor]: Taking taylor expansion of y in y
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 1 into 1
2.357 * [backup-simplify]: Simplify (* 1 1) into 1
2.357 * [backup-simplify]: Simplify (* 1 1) into 1
2.358 * [backup-simplify]: Simplify (/ 1 1) into 1
2.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.358 * [taylor]: Taking taylor expansion of 1/4 in y
2.358 * [backup-simplify]: Simplify 1/4 into 1/4
2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.358 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.358 * [taylor]: Taking taylor expansion of z in y
2.358 * [backup-simplify]: Simplify z into z
2.358 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.358 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.358 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.359 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.360 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.368 * [backup-simplify]: Simplify (+ 0 0) into 0
2.368 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.369 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.370 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.371 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.371 * [taylor]: Taking taylor expansion of 0 in z
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [taylor]: Taking taylor expansion of 0 in z
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.372 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.372 * [backup-simplify]: Simplify (+ 0 0) into 0
2.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.373 * [taylor]: Taking taylor expansion of 0 in z
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [taylor]: Taking taylor expansion of 0 in z
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [taylor]: Taking taylor expansion of 0 in z
2.373 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
2.375 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.375 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
2.375 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.375 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.375 * [taylor]: Taking taylor expansion of y in z
2.375 * [backup-simplify]: Simplify y into y
2.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.375 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.375 * [taylor]: Taking taylor expansion of x in z
2.375 * [backup-simplify]: Simplify x into x
2.375 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.375 * [taylor]: Taking taylor expansion of z in z
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 1 into 1
2.375 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.375 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.375 * [taylor]: Taking taylor expansion of y in y
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 1 into 1
2.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.375 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.375 * [taylor]: Taking taylor expansion of x in y
2.375 * [backup-simplify]: Simplify x into x
2.375 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.375 * [taylor]: Taking taylor expansion of z in y
2.376 * [backup-simplify]: Simplify z into z
2.376 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.376 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.376 * [taylor]: Taking taylor expansion of y in x
2.376 * [backup-simplify]: Simplify y into y
2.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.376 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.376 * [taylor]: Taking taylor expansion of x in x
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.376 * [taylor]: Taking taylor expansion of z in x
2.376 * [backup-simplify]: Simplify z into z
2.376 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.376 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.376 * [taylor]: Taking taylor expansion of y in x
2.376 * [backup-simplify]: Simplify y into y
2.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.376 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.376 * [taylor]: Taking taylor expansion of x in x
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.376 * [taylor]: Taking taylor expansion of z in x
2.376 * [backup-simplify]: Simplify z into z
2.376 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.376 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.376 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.376 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.376 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.376 * [taylor]: Taking taylor expansion of y in y
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.376 * [taylor]: Taking taylor expansion of z in y
2.376 * [backup-simplify]: Simplify z into z
2.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.376 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.377 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.377 * [taylor]: Taking taylor expansion of z in z
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.377 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.377 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [taylor]: Taking taylor expansion of 0 in y
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [taylor]: Taking taylor expansion of 0 in z
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.378 * [backup-simplify]: Simplify (+ 0 0) into 0
2.378 * [taylor]: Taking taylor expansion of 0 in z
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.378 * [backup-simplify]: Simplify (* 1 1) into 1
2.379 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.379 * [backup-simplify]: Simplify (+ 1 0) into 1
2.379 * [backup-simplify]: Simplify (+ 0 1) into 1
2.379 * [taylor]: Taking taylor expansion of 1 in y
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [taylor]: Taking taylor expansion of 1 in z
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [taylor]: Taking taylor expansion of 0 in z
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (* 1 1) into 1
2.380 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.380 * [backup-simplify]: Simplify (+ 1 0) into 1
2.380 * [taylor]: Taking taylor expansion of 1 in z
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify (* 1 1) into 1
2.380 * [backup-simplify]: Simplify 1 into 1
2.381 * [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)))
2.381 * [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))))
2.381 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.381 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.381 * [taylor]: Taking taylor expansion of y in z
2.381 * [backup-simplify]: Simplify y into y
2.381 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.381 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.382 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.382 * [taylor]: Taking taylor expansion of x in z
2.382 * [backup-simplify]: Simplify x into x
2.382 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.382 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.382 * [taylor]: Taking taylor expansion of z in z
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.382 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.382 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.382 * [taylor]: Taking taylor expansion of y in y
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (* 1 1) into 1
2.383 * [backup-simplify]: Simplify (/ 1 1) into 1
2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.383 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.383 * [taylor]: Taking taylor expansion of x in y
2.383 * [backup-simplify]: Simplify x into x
2.383 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.383 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.383 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.383 * [taylor]: Taking taylor expansion of z in y
2.383 * [backup-simplify]: Simplify z into z
2.383 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.383 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.383 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.383 * [taylor]: Taking taylor expansion of y in x
2.383 * [backup-simplify]: Simplify y into y
2.383 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.384 * [taylor]: Taking taylor expansion of x in x
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (* 1 1) into 1
2.384 * [backup-simplify]: Simplify (/ 1 1) into 1
2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.384 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.384 * [taylor]: Taking taylor expansion of z in x
2.384 * [backup-simplify]: Simplify z into z
2.384 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.384 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.384 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.384 * [taylor]: Taking taylor expansion of y in x
2.384 * [backup-simplify]: Simplify y into y
2.384 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.384 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.384 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.384 * [taylor]: Taking taylor expansion of x in x
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (* 1 1) into 1
2.385 * [backup-simplify]: Simplify (/ 1 1) into 1
2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.385 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.385 * [taylor]: Taking taylor expansion of z in x
2.385 * [backup-simplify]: Simplify z into z
2.385 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.385 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.386 * [backup-simplify]: Simplify (+ 1 0) into 1
2.386 * [backup-simplify]: Simplify (+ 0 1) into 1
2.386 * [taylor]: Taking taylor expansion of 1 in y
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [taylor]: Taking taylor expansion of 0 in y
2.387 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.389 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.389 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.389 * [taylor]: Taking taylor expansion of y in y
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify (* 1 1) into 1
2.389 * [backup-simplify]: Simplify (/ 1 1) into 1
2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.389 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.389 * [taylor]: Taking taylor expansion of z in y
2.389 * [backup-simplify]: Simplify z into z
2.390 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.390 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.390 * [backup-simplify]: Simplify (+ 1 0) into 1
2.390 * [taylor]: Taking taylor expansion of 1 in z
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [taylor]: Taking taylor expansion of 1 in z
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.392 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [taylor]: Taking taylor expansion of 0 in y
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.395 * [taylor]: Taking taylor expansion of 0 in z
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [taylor]: Taking taylor expansion of 0 in z
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [taylor]: Taking taylor expansion of 0 in z
2.395 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.400 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [taylor]: Taking taylor expansion of 0 in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.403 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.403 * [taylor]: Taking taylor expansion of z in z
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify (* 1 1) into 1
2.404 * [backup-simplify]: Simplify (/ 1 1) into 1
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [taylor]: Taking taylor expansion of 0 in z
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [taylor]: Taking taylor expansion of 0 in z
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [backup-simplify]: Simplify 1 into 1
2.405 * [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)))
2.406 * [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))))
2.406 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.406 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.406 * [taylor]: Taking taylor expansion of y in z
2.406 * [backup-simplify]: Simplify y into y
2.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.407 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.407 * [taylor]: Taking taylor expansion of x in z
2.407 * [backup-simplify]: Simplify x into x
2.407 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.407 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.407 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.407 * [taylor]: Taking taylor expansion of z in z
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.408 * [backup-simplify]: Simplify (/ 1 1) into 1
2.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.408 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.408 * [taylor]: Taking taylor expansion of y in y
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (* 1 1) into 1
2.409 * [backup-simplify]: Simplify (/ 1 1) into 1
2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.409 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.409 * [taylor]: Taking taylor expansion of x in y
2.409 * [backup-simplify]: Simplify x into x
2.409 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.409 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.409 * [taylor]: Taking taylor expansion of z in y
2.409 * [backup-simplify]: Simplify z into z
2.409 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.409 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.410 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.410 * [taylor]: Taking taylor expansion of y in x
2.410 * [backup-simplify]: Simplify y into y
2.410 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.410 * [taylor]: Taking taylor expansion of x in x
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.410 * [backup-simplify]: Simplify (* 1 1) into 1
2.411 * [backup-simplify]: Simplify (/ 1 1) into 1
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.411 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.411 * [taylor]: Taking taylor expansion of z in x
2.411 * [backup-simplify]: Simplify z into z
2.411 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.411 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.411 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.411 * [taylor]: Taking taylor expansion of y in x
2.411 * [backup-simplify]: Simplify y into y
2.411 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.411 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.412 * [taylor]: Taking taylor expansion of x in x
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (* 1 1) into 1
2.412 * [backup-simplify]: Simplify (/ 1 1) into 1
2.412 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.412 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.412 * [taylor]: Taking taylor expansion of z in x
2.412 * [backup-simplify]: Simplify z into z
2.413 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.413 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.413 * [backup-simplify]: Simplify (+ 1 0) into 1
2.414 * [backup-simplify]: Simplify (+ 0 1) into 1
2.414 * [taylor]: Taking taylor expansion of 1 in y
2.414 * [backup-simplify]: Simplify 1 into 1
2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [taylor]: Taking taylor expansion of 0 in y
2.416 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.418 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.418 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.418 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.418 * [taylor]: Taking taylor expansion of y in y
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (* 1 1) into 1
2.419 * [backup-simplify]: Simplify (/ 1 1) into 1
2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.419 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.419 * [taylor]: Taking taylor expansion of z in y
2.419 * [backup-simplify]: Simplify z into z
2.419 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.420 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.420 * [backup-simplify]: Simplify (+ 1 0) into 1
2.420 * [taylor]: Taking taylor expansion of 1 in z
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of 1 in z
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.423 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [taylor]: Taking taylor expansion of 0 in y
2.427 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.428 * [taylor]: Taking taylor expansion of 0 in z
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [taylor]: Taking taylor expansion of 0 in z
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [taylor]: Taking taylor expansion of 0 in z
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.431 * [backup-simplify]: Simplify (+ 0 0) into 0
2.431 * [backup-simplify]: Simplify (+ 0 0) into 0
2.431 * [taylor]: Taking taylor expansion of 0 in y
2.431 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.433 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.433 * [taylor]: Taking taylor expansion of z in z
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify (* 1 1) into 1
2.433 * [backup-simplify]: Simplify (/ 1 1) into 1
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [taylor]: Taking taylor expansion of 0 in z
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [taylor]: Taking taylor expansion of 0 in z
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify 1 into 1
2.434 * [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)))
2.434 * * * [progress]: simplifying candidates
2.436 * [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))) (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)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (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)))
2.439 * * [simplify]: iteration 0: 131 enodes
2.493 * * [simplify]: iteration 1: 316 enodes
2.651 * * [simplify]: iteration 2: 1673 enodes
3.576 * * [simplify]: iteration complete: 5001 enodes
3.576 * * [simplify]: Extracting #0: cost 43 inf + 0
3.579 * * [simplify]: Extracting #1: cost 1234 inf + 5
3.584 * * [simplify]: Extracting #2: cost 1852 inf + 1810
3.591 * * [simplify]: Extracting #3: cost 1821 inf + 10351
3.601 * * [simplify]: Extracting #4: cost 1649 inf + 38524
3.668 * * [simplify]: Extracting #5: cost 648 inf + 339302
3.819 * * [simplify]: Extracting #6: cost 95 inf + 545362
3.953 * * [simplify]: Extracting #7: cost 0 inf + 584955
4.111 * * [simplify]: Extracting #8: cost 0 inf + 584693
4.228 * [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)))))
  (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* 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)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* 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)))) (+ (* 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)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* 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))))
  (+ (* x x) (+ (* y y) (* z z)))
  (* (+ (* x x) (+ (* y y) (* z z))) (+ (* x x) (+ (* y y) (* z z))))
  2
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* 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)))) (+ (* x x) (+ (* y y) (* z z))))
  (+ (* x x) (+ (* y y) (* z z)))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (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 (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) (+ (* x x) (* y y))) (* z z))))) (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) (+ (* x x) (* y y))) (* z z))))) (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 (+ (* 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 (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (cbrt (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)))))
  (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)))))
  1
  (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)))))
  1
  (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)))))
  1
  (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 (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 (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  2
  1/2
  1
  1/2
  (* (* (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))))) (fabs (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (fabs (cbrt (+ (* 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 (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)))))
  (* (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 (cbrt (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 (+ (* x x) (+ (* y y) (* z z))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (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 (+ (* x x) (+ (* y y) (* 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) (* 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 (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (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 (+ (* z z) (+ (* x x) (* y y))))
  (exp (+ (* z z) (+ (* x x) (* y y))))
  (log (+ (* x x) (+ (* y y) (* z z))))
  (exp (+ (* z z) (+ (* x x) (* y y))))
  (* (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)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (+ (* y y) (- (* x x) (* z z)))
  (+ (* y y) (* z z))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
  (+ (* x x) (+ (* y y) (* z z)))
4.240 * * * [progress]: adding candidates to table
4.781 * * [progress]: iteration 3 / 4
4.781 * * * [progress]: picking best candidate
4.797 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
4.797 * * * [progress]: localizing error
4.799 * * * [progress]: generating rewritten candidates
4.799 * * * [progress]: generating series expansions
4.799 * * * [progress]: simplifying candidates
4.799 * [simplify]: Simplifying:
  
4.799 * * [simplify]: iteration 0: 0 enodes
4.800 * * [simplify]: iteration complete: 0 enodes
4.800 * * [simplify]: Extracting #0: cost 0 inf + 0
4.800 * [simplify]: Simplified to:
  
4.800 * * * [progress]: adding candidates to table
4.803 * * [progress]: iteration 4 / 4
4.803 * * * [progress]: picking best candidate
4.810 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
4.811 * * * [progress]: localizing error
4.813 * * * [progress]: generating rewritten candidates
4.813 * * * [progress]: generating series expansions
4.813 * * * [progress]: simplifying candidates
4.813 * [simplify]: Simplifying:
  
4.813 * * [simplify]: iteration 0: 0 enodes
4.813 * * [simplify]: iteration complete: 0 enodes
4.813 * * [simplify]: Extracting #0: cost 0 inf + 0
4.813 * [simplify]: Simplified to:
  
4.813 * * * [progress]: adding candidates to table
4.814 * [progress]: [Phase 3 of 3] Extracting.
4.814 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
4.814 * * * [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)
4.814 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
4.879 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
4.931 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
4.994 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.037 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x 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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
5.074 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.119 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x 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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
5.164 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.207 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
5.235 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.281 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
5.324 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.395 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.467 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.554 * * * [regime]: Found split indices: #<option (#s(si 1 55) #s(si 3 211) #s(si 4 255))>
5.555 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.646 * [regimes]: Found splitpoints: (#s(sp 1 x -8.211230074550795e+53) #s(sp 3 x 7.495231207769667e+94) #s(sp 4 x +nan.0)) , with alts (#<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<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) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
5.647 * [simplify]: Simplifying:
  (if (<= x -8.211230074550795e+53) (- x) (if (<= x 7.495231207769667e+94) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
5.647 * * [simplify]: iteration 0: 16 enodes
5.648 * * [simplify]: iteration 1: 18 enodes
5.649 * * [simplify]: iteration complete: 18 enodes
5.649 * * [simplify]: Extracting #0: cost 1 inf + 0
5.649 * * [simplify]: Extracting #1: cost 4 inf + 0
5.649 * * [simplify]: Extracting #2: cost 8 inf + 0
5.649 * * [simplify]: Extracting #3: cost 8 inf + 2
5.649 * * [simplify]: Extracting #4: cost 6 inf + 178
5.649 * * [simplify]: Extracting #5: cost 9 inf + 178
5.649 * * [simplify]: Extracting #6: cost 7 inf + 261
5.649 * * [simplify]: Extracting #7: cost 6 inf + 262
5.650 * * [simplify]: Extracting #8: cost 4 inf + 425
5.650 * * [simplify]: Extracting #9: cost 2 inf + 871
5.650 * * [simplify]: Extracting #10: cost 0 inf + 1790
5.650 * [simplify]: Simplified to:
  (if (<= x -8.211230074550795e+53) (- x) (if (<= x 7.495231207769667e+94) (sqrt (+ (* z z) (+ (* y y) (* x x)))) x))
7.576 * [regime-testing]: Baseline error score: 37.68216685538721
7.586 * [regime-testing]: Oracle error score: 17.94091765011026
7.605 * [regime-testing]: End program error score: 25.67025345606284
7.779 * [regime-testing]: Target error score: 25.589420866958484