10.784 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.037 * * * [progress]: [2/2] Setting up program.
0.044 * [progress]: [Phase 2 of 3] Improving.
0.044 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.044 * * [simplify]: iteration 0: 9 enodes
0.047 * * [simplify]: iteration 1: 13 enodes
0.051 * * [simplify]: iteration 2: 20 enodes
0.056 * * [simplify]: iteration 3: 23 enodes
0.064 * * [simplify]: iteration complete: 23 enodes
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.064 * * [simplify]: Extracting #1: cost 2 inf + 0
0.064 * * [simplify]: Extracting #2: cost 8 inf + 0
0.064 * * [simplify]: Extracting #3: cost 11 inf + 0
0.064 * * [simplify]: Extracting #4: cost 8 inf + 3
0.064 * * [simplify]: Extracting #5: cost 1 inf + 49
0.064 * * [simplify]: Extracting #6: cost 0 inf + 56
0.065 * [simplify]: Simplified to:
  (sqrt (+ (* z z) (+ (* x x) (* y y))))
0.069 * * [progress]: iteration 1 / 4
0.069 * * * [progress]: picking best candidate
0.073 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.073 * * * [progress]: localizing error
0.085 * * * [progress]: generating rewritten candidates
0.085 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.115 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.166 * * * [progress]: generating series expansions
0.166 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.166 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.167 * [taylor]: Taking taylor expansion of x in z
0.167 * [backup-simplify]: Simplify x into x
0.167 * [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 (* y y) into (pow y 2)
0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.167 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.167 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.167 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.167 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.168 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.168 * [taylor]: Taking taylor expansion of y in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.168 * [taylor]: Taking taylor expansion of x in y
0.168 * [backup-simplify]: Simplify x into x
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.168 * [taylor]: Taking taylor expansion of z in y
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.169 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.169 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.170 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.170 * [taylor]: Taking taylor expansion of y in x
0.170 * [backup-simplify]: Simplify y into y
0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.170 * [taylor]: Taking taylor expansion of z in x
0.170 * [backup-simplify]: Simplify z into z
0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.170 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.170 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.170 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.170 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [backup-simplify]: Simplify y into y
0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.172 * [taylor]: Taking taylor expansion of x in x
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.172 * [taylor]: Taking taylor expansion of z in x
0.172 * [backup-simplify]: Simplify z into z
0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.172 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.172 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.172 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.172 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.172 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.173 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.173 * [taylor]: Taking taylor expansion of y in y
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.173 * [taylor]: Taking taylor expansion of z in y
0.173 * [backup-simplify]: Simplify z into z
0.173 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.173 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.173 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.174 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.174 * [taylor]: Taking taylor expansion of z in z
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.175 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (+ 0 1) into 1
0.176 * [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)))))
0.176 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.177 * [taylor]: Taking taylor expansion of 1/2 in y
0.177 * [backup-simplify]: Simplify 1/2 into 1/2
0.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.177 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.177 * [taylor]: Taking taylor expansion of y in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.177 * [taylor]: Taking taylor expansion of z in y
0.177 * [backup-simplify]: Simplify z into z
0.177 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.177 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.177 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.177 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.177 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.178 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.178 * [taylor]: Taking taylor expansion of 1/2 in z
0.178 * [backup-simplify]: Simplify 1/2 into 1/2
0.178 * [taylor]: Taking taylor expansion of z in z
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [taylor]: Taking taylor expansion of 0 in z
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.180 * [backup-simplify]: Simplify (+ 1 0) into 1
0.180 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.180 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.180 * [taylor]: Taking taylor expansion of 1/2 in z
0.180 * [backup-simplify]: Simplify 1/2 into 1/2
0.180 * [taylor]: Taking taylor expansion of z in z
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.182 * [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)))))
0.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.182 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.182 * [taylor]: Taking taylor expansion of y in z
0.182 * [backup-simplify]: Simplify y into y
0.182 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.182 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.182 * [taylor]: Taking taylor expansion of x in z
0.182 * [backup-simplify]: Simplify x into x
0.183 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.183 * [taylor]: Taking taylor expansion of z in z
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [backup-simplify]: Simplify (+ 0 1) into 1
0.184 * [backup-simplify]: Simplify (+ 0 1) into 1
0.184 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.187 * [taylor]: Taking taylor expansion of x in y
0.187 * [backup-simplify]: Simplify x into x
0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.187 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.187 * [taylor]: Taking taylor expansion of z in y
0.187 * [backup-simplify]: Simplify z into z
0.187 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.187 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.187 * [backup-simplify]: Simplify (+ 1 0) into 1
0.187 * [backup-simplify]: Simplify (sqrt 1) into 1
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.189 * [taylor]: Taking taylor expansion of y in x
0.189 * [backup-simplify]: Simplify y into y
0.189 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.189 * [taylor]: Taking taylor expansion of x in x
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [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 x
0.190 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.190 * [taylor]: Taking taylor expansion of z in x
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) into 1
0.191 * [backup-simplify]: Simplify (+ 0 1) into 1
0.191 * [backup-simplify]: Simplify (sqrt 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.193 * [taylor]: Taking taylor expansion of y in x
0.193 * [backup-simplify]: Simplify y into y
0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.193 * [taylor]: Taking taylor expansion of x in x
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.194 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.194 * [taylor]: Taking taylor expansion of z in x
0.194 * [backup-simplify]: Simplify z into z
0.194 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.194 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.194 * [backup-simplify]: Simplify (+ 1 0) into 1
0.194 * [backup-simplify]: Simplify (+ 0 1) into 1
0.195 * [backup-simplify]: Simplify (sqrt 1) into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.197 * [taylor]: Taking taylor expansion of 1 in y
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [taylor]: Taking taylor expansion of 0 in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 1 in z
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.198 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.200 * [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))))
0.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.200 * [taylor]: Taking taylor expansion of 1/2 in y
0.200 * [backup-simplify]: Simplify 1/2 into 1/2
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.201 * [taylor]: Taking taylor expansion of z in y
0.201 * [backup-simplify]: Simplify z into z
0.201 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.201 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ 1 0) into 1
0.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.203 * [taylor]: Taking taylor expansion of 0 in z
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [taylor]: Taking taylor expansion of 0 in z
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [taylor]: Taking taylor expansion of 0 in z
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.208 * [taylor]: Taking taylor expansion of 0 in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.211 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.211 * [taylor]: Taking taylor expansion of 1/2 in z
0.211 * [backup-simplify]: Simplify 1/2 into 1/2
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.211 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.211 * [taylor]: Taking taylor expansion of z in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of 0 in z
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of 0 in z
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [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))))))
0.221 * [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
0.221 * [taylor]: Taking taylor expansion of -1/2 in y
0.221 * [backup-simplify]: Simplify -1/2 into -1/2
0.221 * [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
0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.221 * [taylor]: Taking taylor expansion of 1/2 in y
0.221 * [backup-simplify]: Simplify 1/2 into 1/2
0.221 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.221 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.221 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.221 * [taylor]: Taking taylor expansion of z in y
0.221 * [backup-simplify]: Simplify z into z
0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.221 * [taylor]: Taking taylor expansion of y in y
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.222 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.222 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.222 * [taylor]: Taking taylor expansion of 1/4 in y
0.222 * [backup-simplify]: Simplify 1/4 into 1/4
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.222 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.222 * [taylor]: Taking taylor expansion of y in y
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.223 * [taylor]: Taking taylor expansion of 1/4 in y
0.223 * [backup-simplify]: Simplify 1/4 into 1/4
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.223 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.223 * [taylor]: Taking taylor expansion of z in y
0.224 * [backup-simplify]: Simplify z into z
0.224 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.224 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.224 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.225 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 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 (* 1/4 1) into 1/4
0.240 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.240 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.241 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.242 * [taylor]: Taking taylor expansion of 0 in z
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [taylor]: Taking taylor expansion of 0 in z
0.242 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.249 * [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)))))
0.249 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.249 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.249 * [taylor]: Taking taylor expansion of y in z
0.250 * [backup-simplify]: Simplify y into y
0.250 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.250 * [taylor]: Taking taylor expansion of x in z
0.250 * [backup-simplify]: Simplify x into x
0.250 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.250 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.250 * [taylor]: Taking taylor expansion of z in z
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ 0 1) into 1
0.252 * [backup-simplify]: Simplify (+ 0 1) into 1
0.252 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.255 * [taylor]: Taking taylor expansion of y in y
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.256 * [taylor]: Taking taylor expansion of x in y
0.256 * [backup-simplify]: Simplify x into x
0.256 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.257 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.257 * [taylor]: Taking taylor expansion of z in y
0.257 * [backup-simplify]: Simplify z into z
0.257 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.257 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.261 * [taylor]: Taking taylor expansion of y in x
0.261 * [backup-simplify]: Simplify y into y
0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.262 * [taylor]: Taking taylor expansion of z in x
0.262 * [backup-simplify]: Simplify z into z
0.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.263 * [backup-simplify]: Simplify (+ 0 1) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.267 * [taylor]: Taking taylor expansion of y in x
0.267 * [backup-simplify]: Simplify y into y
0.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.267 * [taylor]: Taking taylor expansion of z in x
0.267 * [backup-simplify]: Simplify z into z
0.267 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.268 * [backup-simplify]: Simplify (+ 1 0) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.272 * [taylor]: Taking taylor expansion of 1 in y
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [taylor]: Taking taylor expansion of 0 in y
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [taylor]: Taking taylor expansion of 1 in z
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.273 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.274 * [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))))
0.274 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.274 * [taylor]: Taking taylor expansion of 1/2 in y
0.274 * [backup-simplify]: Simplify 1/2 into 1/2
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.274 * [taylor]: Taking taylor expansion of y in y
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.275 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.275 * [taylor]: Taking taylor expansion of z in y
0.275 * [backup-simplify]: Simplify z into z
0.275 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.275 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in z
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in z
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in z
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.281 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.281 * [taylor]: Taking taylor expansion of 1/2 in z
0.281 * [backup-simplify]: Simplify 1/2 into 1/2
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.281 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.281 * [taylor]: Taking taylor expansion of z in z
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [taylor]: Taking taylor expansion of 0 in z
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [taylor]: Taking taylor expansion of 0 in z
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [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))))))
0.287 * [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
0.287 * [taylor]: Taking taylor expansion of -1/2 in y
0.287 * [backup-simplify]: Simplify -1/2 into -1/2
0.287 * [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
0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.287 * [taylor]: Taking taylor expansion of 1/2 in y
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.287 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.287 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.287 * [taylor]: Taking taylor expansion of z in y
0.287 * [backup-simplify]: Simplify z into z
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.287 * [taylor]: Taking taylor expansion of y in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.288 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.288 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.288 * [taylor]: Taking taylor expansion of 1/4 in y
0.288 * [backup-simplify]: Simplify 1/4 into 1/4
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.288 * [taylor]: Taking taylor expansion of (pow y 4) 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.289 * [taylor]: Taking taylor expansion of 1/4 in y
0.289 * [backup-simplify]: Simplify 1/4 into 1/4
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.289 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.289 * [taylor]: Taking taylor expansion of z in y
0.289 * [backup-simplify]: Simplify z into z
0.289 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.289 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.289 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.290 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.299 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.299 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.300 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [taylor]: Taking taylor expansion of 0 in z
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [taylor]: Taking taylor expansion of 0 in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [taylor]: Taking taylor expansion of 0 in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.308 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.308 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.308 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.308 * [taylor]: Taking taylor expansion of x in y
0.308 * [backup-simplify]: Simplify x into x
0.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.308 * [backup-simplify]: Simplify y into y
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.309 * [backup-simplify]: Simplify y into y
0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.309 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in y
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.311 * [backup-simplify]: Simplify (* 1 1) into 1
0.311 * [backup-simplify]: Simplify (+ 0 1) into 1
0.311 * [taylor]: Taking taylor expansion of 1 in y
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in y
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [taylor]: Taking taylor expansion of 0 in y
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.318 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.318 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.319 * [taylor]: Taking taylor expansion of x in y
0.319 * [backup-simplify]: Simplify x into x
0.319 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.319 * [taylor]: Taking taylor expansion of y in x
0.319 * [backup-simplify]: Simplify y into y
0.319 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.319 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.319 * [taylor]: Taking taylor expansion of x in x
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.320 * [taylor]: Taking taylor expansion of y in x
0.320 * [backup-simplify]: Simplify y into y
0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (+ 0 1) into 1
0.322 * [taylor]: Taking taylor expansion of 1 in y
0.322 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.326 * [taylor]: Taking taylor expansion of y in y
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 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in y
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.333 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.333 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [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 x 2)) in y
0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [backup-simplify]: Simplify x into x
0.334 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 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)
0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
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 y 2)) (/ 1 (pow x 2))) in x
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.335 * [taylor]: Taking taylor expansion of y in x
0.335 * [backup-simplify]: Simplify y into y
0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [backup-simplify]: Simplify (+ 0 1) into 1
0.336 * [taylor]: Taking taylor expansion of 1 in y
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in y
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.339 * [taylor]: Taking taylor expansion of y in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (* 1 1) into 1
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [taylor]: Taking taylor expansion of 0 in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in y
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.345 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.346 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.346 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
0.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.346 * [taylor]: Taking taylor expansion of y in z
0.346 * [backup-simplify]: Simplify y into y
0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.346 * [taylor]: Taking taylor expansion of x in z
0.346 * [backup-simplify]: Simplify x into x
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.346 * [taylor]: Taking taylor expansion of z in z
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.346 * [taylor]: Taking taylor expansion of y in y
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.346 * [taylor]: Taking taylor expansion of x in y
0.346 * [backup-simplify]: Simplify x into x
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.346 * [taylor]: Taking taylor expansion of z in y
0.346 * [backup-simplify]: Simplify z into z
0.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.346 * [taylor]: Taking taylor expansion of y in x
0.346 * [backup-simplify]: Simplify y into y
0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.346 * [taylor]: Taking taylor expansion of x in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.346 * [taylor]: Taking taylor expansion of z in x
0.346 * [backup-simplify]: Simplify z into z
0.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.346 * [taylor]: Taking taylor expansion of y in x
0.346 * [backup-simplify]: Simplify y into y
0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.346 * [taylor]: Taking taylor expansion of x in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.346 * [taylor]: Taking taylor expansion of z in x
0.346 * [backup-simplify]: Simplify z into z
0.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.346 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.346 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.347 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.347 * [taylor]: Taking taylor expansion of z in y
0.347 * [backup-simplify]: Simplify z into z
0.347 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.347 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.347 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.347 * [taylor]: Taking taylor expansion of z in z
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.347 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [taylor]: Taking taylor expansion of 0 in z
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in z
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.349 * [backup-simplify]: Simplify (+ 1 0) into 1
0.349 * [backup-simplify]: Simplify (+ 0 1) into 1
0.349 * [taylor]: Taking taylor expansion of 1 in y
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [taylor]: Taking taylor expansion of 1 in z
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [taylor]: Taking taylor expansion of 0 in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.350 * [backup-simplify]: Simplify (+ 1 0) into 1
0.350 * [taylor]: Taking taylor expansion of 1 in z
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [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)))
0.351 * [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))))
0.351 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.352 * [taylor]: Taking taylor expansion of y in z
0.352 * [backup-simplify]: Simplify y into y
0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.352 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.352 * [taylor]: Taking taylor expansion of x in z
0.352 * [backup-simplify]: Simplify x into x
0.352 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.352 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.352 * [taylor]: Taking taylor expansion of z in z
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.352 * [taylor]: Taking taylor expansion of y in y
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.353 * [taylor]: Taking taylor expansion of x in y
0.353 * [backup-simplify]: Simplify x into x
0.353 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.353 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.353 * [taylor]: Taking taylor expansion of z in y
0.353 * [backup-simplify]: Simplify z into z
0.353 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.354 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.354 * [taylor]: Taking taylor expansion of y in x
0.354 * [backup-simplify]: Simplify y into y
0.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.354 * [taylor]: Taking taylor expansion of x in x
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.354 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.354 * [taylor]: Taking taylor expansion of z in x
0.354 * [backup-simplify]: Simplify z into z
0.354 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.355 * [taylor]: Taking taylor expansion of y in x
0.355 * [backup-simplify]: Simplify y into y
0.355 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.355 * [taylor]: Taking taylor expansion of z in x
0.355 * [backup-simplify]: Simplify z into z
0.355 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.356 * [backup-simplify]: Simplify (+ 1 0) into 1
0.356 * [backup-simplify]: Simplify (+ 0 1) into 1
0.356 * [taylor]: Taking taylor expansion of 1 in y
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [taylor]: Taking taylor expansion of 0 in y
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.359 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.359 * [taylor]: Taking taylor expansion of y in y
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.360 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.360 * [taylor]: Taking taylor expansion of z in y
0.360 * [backup-simplify]: Simplify z into z
0.360 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.360 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.360 * [backup-simplify]: Simplify (+ 1 0) into 1
0.360 * [taylor]: Taking taylor expansion of 1 in z
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [taylor]: Taking taylor expansion of 1 in z
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in y
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [taylor]: Taking taylor expansion of 0 in z
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [taylor]: Taking taylor expansion of 0 in z
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [taylor]: Taking taylor expansion of 0 in z
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.372 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.372 * [taylor]: Taking taylor expansion of z in z
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [taylor]: Taking taylor expansion of 0 in z
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of 0 in z
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify 1 into 1
0.375 * [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)))
0.375 * [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))))
0.375 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.375 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.375 * [taylor]: Taking taylor expansion of y in z
0.375 * [backup-simplify]: Simplify y into y
0.375 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.376 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.376 * [taylor]: Taking taylor expansion of x in z
0.376 * [backup-simplify]: Simplify x into x
0.376 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.376 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.376 * [taylor]: Taking taylor expansion of z in z
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.378 * [taylor]: Taking taylor expansion of x in y
0.378 * [backup-simplify]: Simplify x into x
0.378 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.378 * [taylor]: Taking taylor expansion of z in y
0.378 * [backup-simplify]: Simplify z into z
0.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.379 * [taylor]: Taking taylor expansion of x in x
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.379 * [taylor]: Taking taylor expansion of z in x
0.380 * [backup-simplify]: Simplify z into z
0.380 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.380 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.380 * [taylor]: Taking taylor expansion of y in x
0.380 * [backup-simplify]: Simplify y into y
0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.381 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.381 * [taylor]: Taking taylor expansion of z in x
0.381 * [backup-simplify]: Simplify z into z
0.381 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.381 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.382 * [backup-simplify]: Simplify (+ 1 0) into 1
0.382 * [backup-simplify]: Simplify (+ 0 1) into 1
0.382 * [taylor]: Taking taylor expansion of 1 in y
0.382 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [taylor]: Taking taylor expansion of 0 in y
0.386 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.389 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.389 * [taylor]: Taking taylor expansion of y in y
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.390 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.390 * [taylor]: Taking taylor expansion of z in y
0.390 * [backup-simplify]: Simplify z into z
0.390 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.390 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.390 * [backup-simplify]: Simplify (+ 1 0) into 1
0.390 * [taylor]: Taking taylor expansion of 1 in z
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of 1 in z
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [taylor]: Taking taylor expansion of 0 in y
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [taylor]: Taking taylor expansion of 0 in z
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [taylor]: Taking taylor expansion of 0 in z
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [taylor]: Taking taylor expansion of 0 in z
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [taylor]: Taking taylor expansion of 0 in y
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.398 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.398 * [taylor]: Taking taylor expansion of z in z
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [taylor]: Taking taylor expansion of 0 in z
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [taylor]: Taking taylor expansion of 0 in z
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify 1 into 1
0.400 * [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)))
0.400 * * * [progress]: simplifying candidates
0.400 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.401 * * [simplify]: iteration 0: 74 enodes
0.416 * * [simplify]: iteration 1: 236 enodes
0.586 * * [simplify]: iteration 2: 1301 enodes
1.054 * * [simplify]: iteration complete: 5000 enodes
1.054 * * [simplify]: Extracting #0: cost 40 inf + 0
1.055 * * [simplify]: Extracting #1: cost 335 inf + 4
1.064 * * [simplify]: Extracting #2: cost 1561 inf + 85
1.070 * * [simplify]: Extracting #3: cost 1916 inf + 1652
1.079 * * [simplify]: Extracting #4: cost 1038 inf + 7156
1.087 * * [simplify]: Extracting #5: cost 192 inf + 19745
1.094 * * [simplify]: Extracting #6: cost 9 inf + 22289
1.102 * * [simplify]: Extracting #7: cost 0 inf + 22345
1.115 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (pow (sqrt (+ (* x x) (+ (pow y 2) (* z z)))) 3)
  (fabs (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (pow z 6) (pow (+ (* x x) (pow y 2)) 3)))
  (sqrt (+ (* (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2))) (- (pow z 4) (* (+ (* x x) (pow y 2)) (* z z)))))
  (sqrt (- (* (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2))) (pow z 4)))
  (sqrt (+ (* x x) (* (+ y z) (- y z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (exp (+ (* x x) (pow y 2)))
  (log (+ (* x x) (pow y 2)))
  (exp (+ (* x x) (pow y 2)))
  (* (cbrt (+ (* x x) (pow y 2))) (cbrt (+ (* x x) (pow y 2))))
  (cbrt (+ (* x x) (pow y 2)))
  (pow (+ (* x x) (pow y 2)) 3)
  (sqrt (+ (* x x) (pow y 2)))
  (sqrt (+ (* x x) (pow y 2)))
  (+ (pow x 6) (pow y 6))
  (+ (pow x 4) (* (pow y 2) (* (+ y x) (- y x))))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  (exp (+ (+ (* x x) (pow y 2)) (* z z)))
  (exp (+ (+ (* x x) (pow y 2)) (* z z)))
  (log (+ (* x x) (+ (pow y 2) (* z z))))
  (exp (+ (+ (* x x) (pow y 2)) (* z z)))
  (* (cbrt (+ (* x x) (+ (pow y 2) (* z z)))) (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (cbrt (+ (* x x) (+ (pow y 2) (* z z))))
  (pow (+ (* x x) (+ (pow y 2) (* z z))) 3)
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (+ (pow z 6) (pow (+ (* x x) (pow y 2)) 3))
  (+ (* (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2))) (- (pow z 4) (* (+ (* x x) (pow y 2)) (* z z))))
  (- (* (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2))) (pow z 4))
  (+ (* x x) (* (+ y z) (- y z)))
  (+ (* z z) (pow y 2))
  z
  x
  (- x)
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
  (+ (* x x) (+ (pow y 2) (* z z)))
  (+ (* x x) (+ (pow y 2) (* z z)))
  (+ (* x x) (+ (pow y 2) (* z z)))
1.115 * * * [progress]: adding candidates to table
1.428 * * [progress]: iteration 2 / 4
1.428 * * * [progress]: picking best candidate
1.452 * * * * [pick]: Picked  #<alt (λ (x y z) (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))>
1.452 * * * [progress]: localizing error
1.492 * * * [progress]: generating rewritten candidates
1.492 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
1.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.587 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
1.600 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
1.627 * * * [progress]: generating series expansions
1.627 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
1.627 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (pow y 2) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.627 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.627 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.627 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.627 * [taylor]: Taking taylor expansion of y in z
1.627 * [backup-simplify]: Simplify y into y
1.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.627 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.627 * [taylor]: Taking taylor expansion of x in z
1.627 * [backup-simplify]: Simplify x into x
1.627 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.627 * [taylor]: Taking taylor expansion of z in z
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 1 into 1
1.627 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.627 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.628 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.628 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.628 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.628 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.628 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.628 * [backup-simplify]: Simplify (+ 0 0) into 0
1.629 * [backup-simplify]: Simplify (+ 0 0) into 0
1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.629 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.629 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.629 * [taylor]: Taking taylor expansion of y in y
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.629 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.629 * [taylor]: Taking taylor expansion of x in y
1.629 * [backup-simplify]: Simplify x into x
1.629 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.629 * [taylor]: Taking taylor expansion of z in y
1.629 * [backup-simplify]: Simplify z into z
1.629 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.629 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.629 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.630 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.630 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.630 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.630 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.630 * [backup-simplify]: Simplify (+ 0 0) into 0
1.630 * [backup-simplify]: Simplify (+ 0 0) into 0
1.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.631 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.631 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.631 * [taylor]: Taking taylor expansion of y in x
1.631 * [backup-simplify]: Simplify y into y
1.631 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.631 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.631 * [taylor]: Taking taylor expansion of x in x
1.631 * [backup-simplify]: Simplify 0 into 0
1.631 * [backup-simplify]: Simplify 1 into 1
1.631 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.631 * [taylor]: Taking taylor expansion of z in x
1.631 * [backup-simplify]: Simplify z into z
1.631 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.631 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.631 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.631 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.631 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.631 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.631 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.632 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.632 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.632 * [taylor]: Taking taylor expansion of y in x
1.632 * [backup-simplify]: Simplify y into y
1.632 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.632 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.632 * [taylor]: Taking taylor expansion of x in x
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 1 into 1
1.632 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.632 * [taylor]: Taking taylor expansion of z in x
1.632 * [backup-simplify]: Simplify z into z
1.632 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.633 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.633 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.633 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.635 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.635 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.635 * [backup-simplify]: Simplify (+ 0 0) into 0
1.635 * [backup-simplify]: Simplify (+ 0 0) into 0
1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.636 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.636 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.636 * [taylor]: Taking taylor expansion of y in y
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 1 into 1
1.636 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.636 * [taylor]: Taking taylor expansion of z in y
1.636 * [backup-simplify]: Simplify z into z
1.636 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.636 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.636 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.636 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.636 * [backup-simplify]: Simplify (+ 0 0) into 0
1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.636 * [taylor]: Taking taylor expansion of z in z
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [taylor]: Taking taylor expansion of 0 in y
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [taylor]: Taking taylor expansion of 0 in z
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [taylor]: Taking taylor expansion of 0 in z
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.637 * [backup-simplify]: Simplify (* 1 1) into 1
1.638 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.638 * [backup-simplify]: Simplify (+ 1 0) into 1
1.638 * [backup-simplify]: Simplify (+ 0 1) into 1
1.639 * [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)))))
1.639 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.639 * [taylor]: Taking taylor expansion of 1/2 in y
1.639 * [backup-simplify]: Simplify 1/2 into 1/2
1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.639 * [taylor]: Taking taylor expansion of y in y
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.639 * [taylor]: Taking taylor expansion of z in y
1.639 * [backup-simplify]: Simplify z into z
1.639 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.639 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.639 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.639 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.639 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.640 * [backup-simplify]: Simplify (+ 0 0) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.640 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.640 * [taylor]: Taking taylor expansion of 1/2 in z
1.640 * [backup-simplify]: Simplify 1/2 into 1/2
1.640 * [taylor]: Taking taylor expansion of z in z
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 1 into 1
1.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [taylor]: Taking taylor expansion of 0 in z
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify (* 1 1) into 1
1.642 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.642 * [backup-simplify]: Simplify (+ 1 0) into 1
1.642 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.642 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.642 * [taylor]: Taking taylor expansion of 1/2 in z
1.643 * [backup-simplify]: Simplify 1/2 into 1/2
1.643 * [taylor]: Taking taylor expansion of z in z
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.645 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.645 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.645 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.645 * [taylor]: Taking taylor expansion of y in z
1.645 * [backup-simplify]: Simplify y into y
1.645 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.645 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.646 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.646 * [taylor]: Taking taylor expansion of x in z
1.646 * [backup-simplify]: Simplify x into x
1.646 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.646 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.646 * [taylor]: Taking taylor expansion of z in z
1.646 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (* 1 1) into 1
1.647 * [backup-simplify]: Simplify (/ 1 1) into 1
1.647 * [backup-simplify]: Simplify (+ 0 1) into 1
1.648 * [backup-simplify]: Simplify (+ 0 1) into 1
1.648 * [backup-simplify]: Simplify (sqrt 1) into 1
1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.651 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.651 * [taylor]: Taking taylor expansion of y in y
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (* 1 1) into 1
1.652 * [backup-simplify]: Simplify (/ 1 1) into 1
1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.652 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.652 * [taylor]: Taking taylor expansion of x in y
1.652 * [backup-simplify]: Simplify x into x
1.652 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.652 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.652 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.652 * [taylor]: Taking taylor expansion of z in y
1.652 * [backup-simplify]: Simplify z into z
1.652 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.652 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.653 * [backup-simplify]: Simplify (+ 1 0) into 1
1.653 * [backup-simplify]: Simplify (sqrt 1) into 1
1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.656 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.656 * [taylor]: Taking taylor expansion of y in x
1.656 * [backup-simplify]: Simplify y into y
1.656 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.656 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.656 * [taylor]: Taking taylor expansion of x in x
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (* 1 1) into 1
1.657 * [backup-simplify]: Simplify (/ 1 1) into 1
1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.657 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.657 * [taylor]: Taking taylor expansion of z in x
1.657 * [backup-simplify]: Simplify z into z
1.657 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.657 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.658 * [backup-simplify]: Simplify (+ 1 0) into 1
1.658 * [backup-simplify]: Simplify (+ 0 1) into 1
1.659 * [backup-simplify]: Simplify (sqrt 1) into 1
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.661 * [backup-simplify]: Simplify (+ 0 0) into 0
1.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.662 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.662 * [taylor]: Taking taylor expansion of y in x
1.662 * [backup-simplify]: Simplify y into y
1.662 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.662 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.662 * [taylor]: Taking taylor expansion of x in x
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [backup-simplify]: Simplify (* 1 1) into 1
1.663 * [backup-simplify]: Simplify (/ 1 1) into 1
1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.663 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.663 * [taylor]: Taking taylor expansion of z in x
1.663 * [backup-simplify]: Simplify z into z
1.663 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.663 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.664 * [backup-simplify]: Simplify (+ 1 0) into 1
1.664 * [backup-simplify]: Simplify (+ 0 1) into 1
1.664 * [backup-simplify]: Simplify (sqrt 1) into 1
1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.666 * [backup-simplify]: Simplify (+ 0 0) into 0
1.667 * [backup-simplify]: Simplify (+ 0 0) into 0
1.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.667 * [taylor]: Taking taylor expansion of 1 in y
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [taylor]: Taking taylor expansion of 0 in y
1.668 * [backup-simplify]: Simplify 0 into 0
1.668 * [taylor]: Taking taylor expansion of 1 in z
1.668 * [backup-simplify]: Simplify 1 into 1
1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.669 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.670 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.671 * [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))))
1.671 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.671 * [taylor]: Taking taylor expansion of 1/2 in y
1.671 * [backup-simplify]: Simplify 1/2 into 1/2
1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.671 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.671 * [taylor]: Taking taylor expansion of y in y
1.671 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify 1 into 1
1.672 * [backup-simplify]: Simplify (* 1 1) into 1
1.672 * [backup-simplify]: Simplify (/ 1 1) into 1
1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.672 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.672 * [taylor]: Taking taylor expansion of z in y
1.672 * [backup-simplify]: Simplify z into z
1.672 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.672 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.674 * [backup-simplify]: Simplify (+ 0 0) into 0
1.674 * [backup-simplify]: Simplify (+ 1 0) into 1
1.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.675 * [taylor]: Taking taylor expansion of 0 in z
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [taylor]: Taking taylor expansion of 0 in z
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [taylor]: Taking taylor expansion of 0 in z
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.678 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.678 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.679 * [taylor]: Taking taylor expansion of 0 in y
1.679 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.682 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.682 * [taylor]: Taking taylor expansion of 1/2 in z
1.682 * [backup-simplify]: Simplify 1/2 into 1/2
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.682 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.682 * [taylor]: Taking taylor expansion of z in z
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (* 1 1) into 1
1.683 * [backup-simplify]: Simplify (/ 1 1) into 1
1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [taylor]: Taking taylor expansion of 0 in z
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [taylor]: Taking taylor expansion of 0 in z
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.688 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1.690 * [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))))))
1.691 * [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
1.691 * [taylor]: Taking taylor expansion of -1/2 in y
1.691 * [backup-simplify]: Simplify -1/2 into -1/2
1.691 * [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
1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.691 * [taylor]: Taking taylor expansion of 1/2 in y
1.691 * [backup-simplify]: Simplify 1/2 into 1/2
1.691 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.691 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.691 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.691 * [taylor]: Taking taylor expansion of z in y
1.691 * [backup-simplify]: Simplify z into z
1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.691 * [taylor]: Taking taylor expansion of y in y
1.691 * [backup-simplify]: Simplify 0 into 0
1.691 * [backup-simplify]: Simplify 1 into 1
1.691 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.692 * [backup-simplify]: Simplify (* 1 1) into 1
1.692 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.692 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.692 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.692 * [taylor]: Taking taylor expansion of 1/4 in y
1.692 * [backup-simplify]: Simplify 1/4 into 1/4
1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.692 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.692 * [taylor]: Taking taylor expansion of y in y
1.692 * [backup-simplify]: Simplify 0 into 0
1.692 * [backup-simplify]: Simplify 1 into 1
1.692 * [backup-simplify]: Simplify (* 1 1) into 1
1.693 * [backup-simplify]: Simplify (* 1 1) into 1
1.693 * [backup-simplify]: Simplify (/ 1 1) into 1
1.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.693 * [taylor]: Taking taylor expansion of 1/4 in y
1.693 * [backup-simplify]: Simplify 1/4 into 1/4
1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.693 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.693 * [taylor]: Taking taylor expansion of z in y
1.693 * [backup-simplify]: Simplify z into z
1.693 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.694 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.694 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.695 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.695 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.702 * [backup-simplify]: Simplify (+ 0 0) into 0
1.702 * [backup-simplify]: Simplify (+ 0 0) into 0
1.702 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.703 * [backup-simplify]: Simplify (+ 0 0) into 0
1.703 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.704 * [backup-simplify]: Simplify (+ 0 0) into 0
1.704 * [backup-simplify]: Simplify (+ 0 0) into 0
1.704 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.704 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.705 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.705 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.705 * [taylor]: Taking taylor expansion of 0 in z
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [taylor]: Taking taylor expansion of 0 in z
1.705 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.707 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.707 * [backup-simplify]: Simplify (+ 0 0) into 0
1.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.708 * [taylor]: Taking taylor expansion of 0 in z
1.708 * [backup-simplify]: Simplify 0 into 0
1.708 * [taylor]: Taking taylor expansion of 0 in z
1.708 * [backup-simplify]: Simplify 0 into 0
1.708 * [taylor]: Taking taylor expansion of 0 in z
1.708 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.710 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.710 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.710 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.710 * [taylor]: Taking taylor expansion of y in z
1.710 * [backup-simplify]: Simplify y into y
1.710 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.710 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.710 * [taylor]: Taking taylor expansion of x in z
1.710 * [backup-simplify]: Simplify x into x
1.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.711 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.711 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.711 * [taylor]: Taking taylor expansion of z in z
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 1 into 1
1.711 * [backup-simplify]: Simplify (* 1 1) into 1
1.711 * [backup-simplify]: Simplify (/ 1 1) into 1
1.711 * [backup-simplify]: Simplify (+ 0 1) into 1
1.712 * [backup-simplify]: Simplify (+ 0 1) into 1
1.712 * [backup-simplify]: Simplify (sqrt 1) into 1
1.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.713 * [backup-simplify]: Simplify (+ 0 0) into 0
1.713 * [backup-simplify]: Simplify (+ 0 0) into 0
1.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.714 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.714 * [taylor]: Taking taylor expansion of y in y
1.714 * [backup-simplify]: Simplify 0 into 0
1.714 * [backup-simplify]: Simplify 1 into 1
1.714 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (/ 1 1) into 1
1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.714 * [taylor]: Taking taylor expansion of x in y
1.714 * [backup-simplify]: Simplify x into x
1.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.714 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.714 * [taylor]: Taking taylor expansion of z in y
1.714 * [backup-simplify]: Simplify z into z
1.714 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.715 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.715 * [backup-simplify]: Simplify (+ 1 0) into 1
1.715 * [backup-simplify]: Simplify (sqrt 1) into 1
1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.717 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.717 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.717 * [taylor]: Taking taylor expansion of y in x
1.717 * [backup-simplify]: Simplify y into y
1.717 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.717 * [taylor]: Taking taylor expansion of x in x
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [backup-simplify]: Simplify (* 1 1) into 1
1.717 * [backup-simplify]: Simplify (/ 1 1) into 1
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.717 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.717 * [taylor]: Taking taylor expansion of z in x
1.717 * [backup-simplify]: Simplify z into z
1.717 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.718 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.718 * [backup-simplify]: Simplify (+ 1 0) into 1
1.718 * [backup-simplify]: Simplify (+ 0 1) into 1
1.718 * [backup-simplify]: Simplify (sqrt 1) into 1
1.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.719 * [backup-simplify]: Simplify (+ 0 0) into 0
1.720 * [backup-simplify]: Simplify (+ 0 0) into 0
1.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.720 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.720 * [taylor]: Taking taylor expansion of y in x
1.720 * [backup-simplify]: Simplify y into y
1.720 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.720 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.720 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.720 * [taylor]: Taking taylor expansion of x in x
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.721 * [backup-simplify]: Simplify (* 1 1) into 1
1.721 * [backup-simplify]: Simplify (/ 1 1) into 1
1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.721 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.721 * [taylor]: Taking taylor expansion of z in x
1.721 * [backup-simplify]: Simplify z into z
1.721 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.721 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.721 * [backup-simplify]: Simplify (+ 1 0) into 1
1.722 * [backup-simplify]: Simplify (+ 0 1) into 1
1.722 * [backup-simplify]: Simplify (sqrt 1) into 1
1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.723 * [backup-simplify]: Simplify (+ 0 0) into 0
1.723 * [backup-simplify]: Simplify (+ 0 0) into 0
1.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.724 * [taylor]: Taking taylor expansion of 1 in y
1.724 * [backup-simplify]: Simplify 1 into 1
1.724 * [taylor]: Taking taylor expansion of 0 in y
1.724 * [backup-simplify]: Simplify 0 into 0
1.724 * [taylor]: Taking taylor expansion of 1 in z
1.724 * [backup-simplify]: Simplify 1 into 1
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.726 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.727 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.728 * [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))))
1.728 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.728 * [taylor]: Taking taylor expansion of 1/2 in y
1.728 * [backup-simplify]: Simplify 1/2 into 1/2
1.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.728 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.728 * [taylor]: Taking taylor expansion of y in y
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.729 * [backup-simplify]: Simplify (* 1 1) into 1
1.729 * [backup-simplify]: Simplify (/ 1 1) into 1
1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.729 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.729 * [taylor]: Taking taylor expansion of z in y
1.729 * [backup-simplify]: Simplify z into z
1.729 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.730 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.731 * [backup-simplify]: Simplify (+ 0 0) into 0
1.732 * [backup-simplify]: Simplify (+ 1 0) into 1
1.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.733 * [taylor]: Taking taylor expansion of 0 in z
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [taylor]: Taking taylor expansion of 0 in z
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [taylor]: Taking taylor expansion of 0 in z
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 1 into 1
1.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.735 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.737 * [taylor]: Taking taylor expansion of 0 in y
1.737 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.739 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.740 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.740 * [taylor]: Taking taylor expansion of 1/2 in z
1.740 * [backup-simplify]: Simplify 1/2 into 1/2
1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.740 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.740 * [taylor]: Taking taylor expansion of z in z
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (* 1 1) into 1
1.741 * [backup-simplify]: Simplify (/ 1 1) into 1
1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [taylor]: Taking taylor expansion of 0 in z
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [taylor]: Taking taylor expansion of 0 in z
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.748 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.749 * [backup-simplify]: Simplify (+ 0 0) into 0
1.749 * [backup-simplify]: Simplify (+ 0 0) into 0
1.751 * [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))))))
1.751 * [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
1.751 * [taylor]: Taking taylor expansion of -1/2 in y
1.751 * [backup-simplify]: Simplify -1/2 into -1/2
1.751 * [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
1.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.751 * [taylor]: Taking taylor expansion of 1/2 in y
1.751 * [backup-simplify]: Simplify 1/2 into 1/2
1.751 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.751 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.751 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.751 * [taylor]: Taking taylor expansion of z in y
1.751 * [backup-simplify]: Simplify z into z
1.751 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.751 * [taylor]: Taking taylor expansion of y in y
1.751 * [backup-simplify]: Simplify 0 into 0
1.751 * [backup-simplify]: Simplify 1 into 1
1.751 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.752 * [backup-simplify]: Simplify (* 1 1) into 1
1.752 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.752 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.752 * [taylor]: Taking taylor expansion of 1/4 in y
1.752 * [backup-simplify]: Simplify 1/4 into 1/4
1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.752 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.752 * [taylor]: Taking taylor expansion of y in y
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 1 into 1
1.752 * [backup-simplify]: Simplify (* 1 1) into 1
1.753 * [backup-simplify]: Simplify (* 1 1) into 1
1.753 * [backup-simplify]: Simplify (/ 1 1) into 1
1.753 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.753 * [taylor]: Taking taylor expansion of 1/4 in y
1.753 * [backup-simplify]: Simplify 1/4 into 1/4
1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.753 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.753 * [taylor]: Taking taylor expansion of z in y
1.753 * [backup-simplify]: Simplify z into z
1.753 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.754 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.754 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.754 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.755 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.767 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.769 * [backup-simplify]: Simplify (+ 0 0) into 0
1.769 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.771 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.772 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.772 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.773 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.773 * [taylor]: Taking taylor expansion of 0 in z
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [taylor]: Taking taylor expansion of 0 in z
1.774 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.776 * [backup-simplify]: Simplify (+ 0 0) into 0
1.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.778 * [taylor]: Taking taylor expansion of 0 in z
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [taylor]: Taking taylor expansion of 0 in z
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [taylor]: Taking taylor expansion of 0 in z
1.778 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.781 * * * * [progress]: [ 2 / 4 ] generating series at (2)
1.781 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.782 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.782 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.782 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.782 * [taylor]: Taking taylor expansion of y in z
1.782 * [backup-simplify]: Simplify y into y
1.782 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.782 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.782 * [taylor]: Taking taylor expansion of x in z
1.782 * [backup-simplify]: Simplify x into x
1.782 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.782 * [taylor]: Taking taylor expansion of z in z
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify 1 into 1
1.782 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.782 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.782 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.782 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.783 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.783 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.783 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.783 * [backup-simplify]: Simplify (+ 0 0) into 0
1.784 * [backup-simplify]: Simplify (+ 0 0) into 0
1.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.784 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.784 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.784 * [taylor]: Taking taylor expansion of y in y
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify 1 into 1
1.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.784 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.784 * [taylor]: Taking taylor expansion of x in y
1.784 * [backup-simplify]: Simplify x into x
1.784 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.784 * [taylor]: Taking taylor expansion of z in y
1.785 * [backup-simplify]: Simplify z into z
1.785 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.785 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.785 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.785 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.785 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.786 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.786 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.787 * [backup-simplify]: Simplify (+ 0 0) into 0
1.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.787 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.787 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.787 * [taylor]: Taking taylor expansion of y in x
1.787 * [backup-simplify]: Simplify y into y
1.787 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.787 * [taylor]: Taking taylor expansion of x in x
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 1 into 1
1.787 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.787 * [taylor]: Taking taylor expansion of z in x
1.787 * [backup-simplify]: Simplify z into z
1.787 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.787 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.788 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.788 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.788 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.788 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.788 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.789 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.789 * [taylor]: Taking taylor expansion of y in x
1.789 * [backup-simplify]: Simplify y into y
1.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.790 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.790 * [taylor]: Taking taylor expansion of x in x
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.790 * [taylor]: Taking taylor expansion of z in x
1.790 * [backup-simplify]: Simplify z into z
1.790 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.790 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.790 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.790 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.790 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.791 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.792 * [taylor]: Taking taylor expansion of y in y
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.792 * [taylor]: Taking taylor expansion of z in y
1.792 * [backup-simplify]: Simplify z into z
1.792 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.792 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.792 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.793 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.793 * [backup-simplify]: Simplify (+ 0 0) into 0
1.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.793 * [taylor]: Taking taylor expansion of z in z
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [taylor]: Taking taylor expansion of 0 in y
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [taylor]: Taking taylor expansion of 0 in z
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [taylor]: Taking taylor expansion of 0 in z
1.793 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 1 into 1
1.794 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.794 * [backup-simplify]: Simplify (* 1 1) into 1
1.795 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.795 * [backup-simplify]: Simplify (+ 1 0) into 1
1.796 * [backup-simplify]: Simplify (+ 0 1) into 1
1.797 * [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)))))
1.797 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.797 * [taylor]: Taking taylor expansion of 1/2 in y
1.797 * [backup-simplify]: Simplify 1/2 into 1/2
1.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.797 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.797 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.797 * [taylor]: Taking taylor expansion of y in y
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.797 * [taylor]: Taking taylor expansion of z in y
1.797 * [backup-simplify]: Simplify z into z
1.797 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.797 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.798 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.798 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.798 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.798 * [backup-simplify]: Simplify (+ 0 0) into 0
1.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.799 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.799 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.799 * [taylor]: Taking taylor expansion of 1/2 in z
1.799 * [backup-simplify]: Simplify 1/2 into 1/2
1.800 * [taylor]: Taking taylor expansion of z in z
1.800 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify 1 into 1
1.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [taylor]: Taking taylor expansion of 0 in z
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify (* 1 1) into 1
1.803 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.803 * [backup-simplify]: Simplify (+ 1 0) into 1
1.804 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.804 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.804 * [taylor]: Taking taylor expansion of 1/2 in z
1.804 * [backup-simplify]: Simplify 1/2 into 1/2
1.804 * [taylor]: Taking taylor expansion of z in z
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify 1 into 1
1.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.807 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.807 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.807 * [taylor]: Taking taylor expansion of y in z
1.807 * [backup-simplify]: Simplify y into y
1.807 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.807 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.807 * [taylor]: Taking taylor expansion of x in z
1.807 * [backup-simplify]: Simplify x into x
1.807 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.807 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.808 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.808 * [taylor]: Taking taylor expansion of z in z
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [backup-simplify]: Simplify (* 1 1) into 1
1.808 * [backup-simplify]: Simplify (/ 1 1) into 1
1.809 * [backup-simplify]: Simplify (+ 0 1) into 1
1.809 * [backup-simplify]: Simplify (+ 0 1) into 1
1.810 * [backup-simplify]: Simplify (sqrt 1) into 1
1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.812 * [taylor]: Taking taylor expansion of y in y
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (* 1 1) into 1
1.812 * [backup-simplify]: Simplify (/ 1 1) into 1
1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.812 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.812 * [taylor]: Taking taylor expansion of x in y
1.812 * [backup-simplify]: Simplify x into x
1.812 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.812 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.812 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.812 * [taylor]: Taking taylor expansion of z in y
1.812 * [backup-simplify]: Simplify z into z
1.813 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.813 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.813 * [backup-simplify]: Simplify (+ 1 0) into 1
1.813 * [backup-simplify]: Simplify (sqrt 1) into 1
1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.815 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.815 * [taylor]: Taking taylor expansion of y in x
1.815 * [backup-simplify]: Simplify y into y
1.815 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.815 * [taylor]: Taking taylor expansion of x in x
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 1 into 1
1.815 * [backup-simplify]: Simplify (* 1 1) into 1
1.815 * [backup-simplify]: Simplify (/ 1 1) into 1
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.815 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.815 * [taylor]: Taking taylor expansion of z in x
1.815 * [backup-simplify]: Simplify z into z
1.816 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.816 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.816 * [backup-simplify]: Simplify (+ 1 0) into 1
1.816 * [backup-simplify]: Simplify (+ 0 1) into 1
1.816 * [backup-simplify]: Simplify (sqrt 1) into 1
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.818 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.818 * [taylor]: Taking taylor expansion of y in x
1.818 * [backup-simplify]: Simplify y into y
1.818 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.818 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.818 * [taylor]: Taking taylor expansion of x in x
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 1 into 1
1.819 * [backup-simplify]: Simplify (* 1 1) into 1
1.819 * [backup-simplify]: Simplify (/ 1 1) into 1
1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.819 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.819 * [taylor]: Taking taylor expansion of z in x
1.819 * [backup-simplify]: Simplify z into z
1.819 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.819 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.819 * [backup-simplify]: Simplify (+ 1 0) into 1
1.820 * [backup-simplify]: Simplify (+ 0 1) into 1
1.820 * [backup-simplify]: Simplify (sqrt 1) into 1
1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.821 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.821 * [taylor]: Taking taylor expansion of 1 in y
1.821 * [backup-simplify]: Simplify 1 into 1
1.822 * [taylor]: Taking taylor expansion of 0 in y
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [taylor]: Taking taylor expansion of 1 in z
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.823 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.824 * [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))))
1.824 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.824 * [taylor]: Taking taylor expansion of 1/2 in y
1.824 * [backup-simplify]: Simplify 1/2 into 1/2
1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.824 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.824 * [taylor]: Taking taylor expansion of y in y
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 1 into 1
1.824 * [backup-simplify]: Simplify (* 1 1) into 1
1.824 * [backup-simplify]: Simplify (/ 1 1) into 1
1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.824 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.824 * [taylor]: Taking taylor expansion of z in y
1.825 * [backup-simplify]: Simplify z into z
1.825 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.825 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.826 * [backup-simplify]: Simplify (+ 0 0) into 0
1.826 * [backup-simplify]: Simplify (+ 1 0) into 1
1.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.826 * [taylor]: Taking taylor expansion of 0 in z
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [taylor]: Taking taylor expansion of 0 in z
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [taylor]: Taking taylor expansion of 0 in z
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify 1 into 1
1.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.828 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.829 * [backup-simplify]: Simplify (+ 0 0) into 0
1.829 * [backup-simplify]: Simplify (+ 0 0) into 0
1.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.829 * [taylor]: Taking taylor expansion of 0 in y
1.829 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.831 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.831 * [taylor]: Taking taylor expansion of 1/2 in z
1.831 * [backup-simplify]: Simplify 1/2 into 1/2
1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.831 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.831 * [taylor]: Taking taylor expansion of z in z
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [backup-simplify]: Simplify (* 1 1) into 1
1.832 * [backup-simplify]: Simplify (/ 1 1) into 1
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [taylor]: Taking taylor expansion of 0 in z
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [taylor]: Taking taylor expansion of 0 in z
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.835 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.837 * [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))))))
1.837 * [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
1.837 * [taylor]: Taking taylor expansion of -1/2 in y
1.837 * [backup-simplify]: Simplify -1/2 into -1/2
1.837 * [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
1.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.837 * [taylor]: Taking taylor expansion of 1/2 in y
1.838 * [backup-simplify]: Simplify 1/2 into 1/2
1.838 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.838 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.838 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.838 * [taylor]: Taking taylor expansion of z in y
1.838 * [backup-simplify]: Simplify z into z
1.838 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.838 * [taylor]: Taking taylor expansion of y in y
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 1 into 1
1.838 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.838 * [backup-simplify]: Simplify (* 1 1) into 1
1.838 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.838 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.838 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.838 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.838 * [taylor]: Taking taylor expansion of 1/4 in y
1.838 * [backup-simplify]: Simplify 1/4 into 1/4
1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.838 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.838 * [taylor]: Taking taylor expansion of y in y
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (* 1 1) into 1
1.839 * [backup-simplify]: Simplify (* 1 1) into 1
1.839 * [backup-simplify]: Simplify (/ 1 1) into 1
1.839 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.839 * [taylor]: Taking taylor expansion of 1/4 in y
1.839 * [backup-simplify]: Simplify 1/4 into 1/4
1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.839 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.839 * [taylor]: Taking taylor expansion of z in y
1.839 * [backup-simplify]: Simplify z into z
1.839 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.839 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.839 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.840 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.840 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.848 * [backup-simplify]: Simplify (+ 0 0) into 0
1.848 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.849 * [backup-simplify]: Simplify (+ 0 0) into 0
1.849 * [backup-simplify]: Simplify (+ 0 0) into 0
1.849 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.850 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.850 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.851 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.851 * [taylor]: Taking taylor expansion of 0 in z
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [taylor]: Taking taylor expansion of 0 in z
1.851 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.854 * [taylor]: Taking taylor expansion of 0 in z
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [taylor]: Taking taylor expansion of 0 in z
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [taylor]: Taking taylor expansion of 0 in z
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.856 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.856 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.856 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.856 * [taylor]: Taking taylor expansion of y in z
1.856 * [backup-simplify]: Simplify y into y
1.856 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.856 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.856 * [taylor]: Taking taylor expansion of x in z
1.856 * [backup-simplify]: Simplify x into x
1.856 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.856 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.856 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.856 * [taylor]: Taking taylor expansion of z in z
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (* 1 1) into 1
1.857 * [backup-simplify]: Simplify (/ 1 1) into 1
1.857 * [backup-simplify]: Simplify (+ 0 1) into 1
1.857 * [backup-simplify]: Simplify (+ 0 1) into 1
1.858 * [backup-simplify]: Simplify (sqrt 1) into 1
1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify (+ 0 0) into 0
1.859 * [backup-simplify]: Simplify (+ 0 0) into 0
1.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.859 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.859 * [taylor]: Taking taylor expansion of y in y
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.860 * [backup-simplify]: Simplify (* 1 1) into 1
1.860 * [backup-simplify]: Simplify (/ 1 1) into 1
1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.860 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.860 * [taylor]: Taking taylor expansion of x in y
1.860 * [backup-simplify]: Simplify x into x
1.860 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.860 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.860 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.860 * [taylor]: Taking taylor expansion of z in y
1.860 * [backup-simplify]: Simplify z into z
1.860 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.860 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.860 * [backup-simplify]: Simplify (+ 1 0) into 1
1.861 * [backup-simplify]: Simplify (sqrt 1) into 1
1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.863 * [taylor]: Taking taylor expansion of y in x
1.863 * [backup-simplify]: Simplify y into y
1.863 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.863 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.863 * [taylor]: Taking taylor expansion of x in x
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.863 * [backup-simplify]: Simplify (* 1 1) into 1
1.863 * [backup-simplify]: Simplify (/ 1 1) into 1
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.863 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.863 * [taylor]: Taking taylor expansion of z in x
1.863 * [backup-simplify]: Simplify z into z
1.863 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.864 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.864 * [backup-simplify]: Simplify (+ 1 0) into 1
1.864 * [backup-simplify]: Simplify (+ 0 1) into 1
1.864 * [backup-simplify]: Simplify (sqrt 1) into 1
1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.866 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.866 * [taylor]: Taking taylor expansion of y in x
1.866 * [backup-simplify]: Simplify y into y
1.866 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.866 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.866 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.866 * [taylor]: Taking taylor expansion of x in x
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* 1 1) into 1
1.867 * [backup-simplify]: Simplify (/ 1 1) into 1
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.867 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.867 * [taylor]: Taking taylor expansion of z in x
1.867 * [backup-simplify]: Simplify z into z
1.867 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.867 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.867 * [backup-simplify]: Simplify (+ 1 0) into 1
1.868 * [backup-simplify]: Simplify (+ 0 1) into 1
1.868 * [backup-simplify]: Simplify (sqrt 1) into 1
1.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.870 * [taylor]: Taking taylor expansion of 1 in y
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [taylor]: Taking taylor expansion of 0 in y
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [taylor]: Taking taylor expansion of 1 in z
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.871 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.871 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.872 * [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))))
1.872 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.872 * [taylor]: Taking taylor expansion of 1/2 in y
1.872 * [backup-simplify]: Simplify 1/2 into 1/2
1.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.872 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.872 * [taylor]: Taking taylor expansion of y in y
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (* 1 1) into 1
1.873 * [backup-simplify]: Simplify (/ 1 1) into 1
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.873 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.873 * [taylor]: Taking taylor expansion of z in y
1.873 * [backup-simplify]: Simplify z into z
1.873 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.873 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.875 * [backup-simplify]: Simplify (+ 0 0) into 0
1.875 * [backup-simplify]: Simplify (+ 1 0) into 1
1.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.876 * [taylor]: Taking taylor expansion of 0 in z
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [taylor]: Taking taylor expansion of 0 in z
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [taylor]: Taking taylor expansion of 0 in z
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify 1 into 1
1.876 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.879 * [taylor]: Taking taylor expansion of 0 in y
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.880 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.880 * [taylor]: Taking taylor expansion of 1/2 in z
1.880 * [backup-simplify]: Simplify 1/2 into 1/2
1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.880 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.880 * [taylor]: Taking taylor expansion of z in z
1.881 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify 1 into 1
1.881 * [backup-simplify]: Simplify (* 1 1) into 1
1.881 * [backup-simplify]: Simplify (/ 1 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [taylor]: Taking taylor expansion of 0 in z
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [taylor]: Taking taylor expansion of 0 in z
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.886 * [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))))))
1.886 * [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
1.886 * [taylor]: Taking taylor expansion of -1/2 in y
1.886 * [backup-simplify]: Simplify -1/2 into -1/2
1.886 * [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
1.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.886 * [taylor]: Taking taylor expansion of 1/2 in y
1.886 * [backup-simplify]: Simplify 1/2 into 1/2
1.886 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.886 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.886 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.886 * [taylor]: Taking taylor expansion of z in y
1.887 * [backup-simplify]: Simplify z into z
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
1.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.887 * [backup-simplify]: Simplify (* 1 1) into 1
1.887 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.887 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.887 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.887 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.887 * [taylor]: Taking taylor expansion of 1/4 in y
1.887 * [backup-simplify]: Simplify 1/4 into 1/4
1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.887 * [taylor]: Taking taylor expansion of (pow y 4) 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
1.887 * [backup-simplify]: Simplify (* 1 1) into 1
1.888 * [backup-simplify]: Simplify (* 1 1) into 1
1.888 * [backup-simplify]: Simplify (/ 1 1) into 1
1.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.888 * [taylor]: Taking taylor expansion of 1/4 in y
1.888 * [backup-simplify]: Simplify 1/4 into 1/4
1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.888 * [taylor]: Taking taylor expansion of (pow z 4) 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 (* z z) into (pow z 2)
1.888 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.888 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.889 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.889 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.896 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.898 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.898 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.899 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.899 * [taylor]: Taking taylor expansion of 0 in z
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [taylor]: Taking taylor expansion of 0 in z
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.901 * [taylor]: Taking taylor expansion of 0 in z
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [taylor]: Taking taylor expansion of 0 in z
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [taylor]: Taking taylor expansion of 0 in z
1.901 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
1.903 * [backup-simplify]: Simplify (+ (pow y 2) (* z z)) into (+ (pow y 2) (pow z 2))
1.903 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in (y z) around 0
1.903 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.903 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.903 * [taylor]: Taking taylor expansion of y in z
1.903 * [backup-simplify]: Simplify y into y
1.903 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.903 * [taylor]: Taking taylor expansion of z in z
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.903 * [taylor]: Taking taylor expansion of y in y
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.904 * [taylor]: Taking taylor expansion of z in y
1.904 * [backup-simplify]: Simplify z into z
1.904 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.904 * [taylor]: Taking taylor expansion of y in y
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 1 into 1
1.904 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.904 * [taylor]: Taking taylor expansion of z in y
1.904 * [backup-simplify]: Simplify z into z
1.904 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.904 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.904 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.904 * [taylor]: Taking taylor expansion of z in z
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.904 * [backup-simplify]: Simplify (+ 0 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
1.905 * [taylor]: Taking taylor expansion of 1 in z
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (* 1 1) into 1
1.905 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.906 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0
1.907 * [backup-simplify]: Simplify (+ 0 0) into 0
1.907 * [taylor]: Taking taylor expansion of 0 in z
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 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 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.908 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [taylor]: Taking taylor expansion of 0 in z
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 (pow (* z 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow z 2))
1.909 * [backup-simplify]: Simplify (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.909 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0
1.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.909 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.909 * [taylor]: Taking taylor expansion of y in z
1.909 * [backup-simplify]: Simplify y into y
1.909 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.909 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.910 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.910 * [taylor]: Taking taylor expansion of z in z
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.910 * [backup-simplify]: Simplify (/ 1 1) into 1
1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.910 * [taylor]: Taking taylor expansion of y in y
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.911 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.911 * [taylor]: Taking taylor expansion of z in y
1.911 * [backup-simplify]: Simplify z into z
1.911 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.911 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.911 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.911 * [taylor]: Taking taylor expansion of y in y
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.912 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.912 * [taylor]: Taking taylor expansion of z in y
1.912 * [backup-simplify]: Simplify z into z
1.912 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.912 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.913 * [backup-simplify]: Simplify (+ 1 0) into 1
1.913 * [taylor]: Taking taylor expansion of 1 in z
1.913 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [taylor]: Taking taylor expansion of 0 in z
1.915 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.917 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.917 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.917 * [taylor]: Taking taylor expansion of z in z
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (* 1 1) into 1
1.918 * [backup-simplify]: Simplify (/ 1 1) into 1
1.918 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1.921 * [taylor]: Taking taylor expansion of 0 in z
1.921 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.926 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [taylor]: Taking taylor expansion of 0 in z
1.927 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (+ (pow y 2) (pow z 2))
1.930 * [backup-simplify]: Simplify (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.930 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0
1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.930 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.930 * [taylor]: Taking taylor expansion of y in z
1.930 * [backup-simplify]: Simplify y into y
1.930 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.930 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.930 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.930 * [taylor]: Taking taylor expansion of z in z
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [backup-simplify]: Simplify (* 1 1) into 1
1.931 * [backup-simplify]: Simplify (/ 1 1) into 1
1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.931 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.931 * [taylor]: Taking taylor expansion of y in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (* 1 1) into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.932 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.932 * [taylor]: Taking taylor expansion of z in y
1.932 * [backup-simplify]: Simplify z into z
1.932 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.932 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.932 * [taylor]: Taking taylor expansion of y in y
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.933 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.933 * [taylor]: Taking taylor expansion of z in y
1.933 * [backup-simplify]: Simplify z into z
1.933 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.933 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.934 * [backup-simplify]: Simplify (+ 1 0) into 1
1.934 * [taylor]: Taking taylor expansion of 1 in z
1.934 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.936 * [backup-simplify]: Simplify (+ 0 0) into 0
1.936 * [taylor]: Taking taylor expansion of 0 in z
1.936 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.938 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.938 * [taylor]: Taking taylor expansion of z in z
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (* 1 1) into 1
1.939 * [backup-simplify]: Simplify (/ 1 1) into 1
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify 1 into 1
1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.942 * [backup-simplify]: Simplify (+ 0 0) into 0
1.942 * [taylor]: Taking taylor expansion of 0 in z
1.942 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [taylor]: Taking taylor expansion of 0 in z
1.947 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (+ (pow y 2) (pow z 2))
1.950 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
1.950 * [backup-simplify]: Simplify (+ (* x x) (+ (pow y 2) (* z z))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
1.950 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
1.950 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.950 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.950 * [taylor]: Taking taylor expansion of y in z
1.950 * [backup-simplify]: Simplify y into y
1.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.950 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.951 * [taylor]: Taking taylor expansion of x in z
1.951 * [backup-simplify]: Simplify x into x
1.951 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.951 * [taylor]: Taking taylor expansion of z in z
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.951 * [taylor]: Taking taylor expansion of y in y
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.951 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.951 * [taylor]: Taking taylor expansion of x in y
1.951 * [backup-simplify]: Simplify x into x
1.951 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.951 * [taylor]: Taking taylor expansion of z in y
1.951 * [backup-simplify]: Simplify z into z
1.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.951 * [taylor]: Taking taylor expansion of y in x
1.951 * [backup-simplify]: Simplify y into y
1.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.951 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.951 * [taylor]: Taking taylor expansion of x in x
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.951 * [taylor]: Taking taylor expansion of z in x
1.951 * [backup-simplify]: Simplify z into z
1.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.951 * [taylor]: Taking taylor expansion of y in x
1.951 * [backup-simplify]: Simplify y into y
1.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.952 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.952 * [taylor]: Taking taylor expansion of x in x
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.952 * [taylor]: Taking taylor expansion of z in x
1.952 * [backup-simplify]: Simplify z into z
1.952 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.952 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.952 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.952 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.952 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.952 * [taylor]: Taking taylor expansion of y in y
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.953 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.953 * [taylor]: Taking taylor expansion of z in y
1.953 * [backup-simplify]: Simplify z into z
1.953 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.953 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.953 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.953 * [taylor]: Taking taylor expansion of z in z
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.953 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [taylor]: Taking taylor expansion of 0 in y
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [taylor]: Taking taylor expansion of 0 in z
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.955 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [taylor]: Taking taylor expansion of 0 in z
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.956 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.956 * [backup-simplify]: Simplify (+ 1 0) into 1
1.956 * [backup-simplify]: Simplify (+ 0 1) into 1
1.956 * [taylor]: Taking taylor expansion of 1 in y
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [taylor]: Taking taylor expansion of 1 in z
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [taylor]: Taking taylor expansion of 0 in z
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (* 1 1) into 1
1.957 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.957 * [backup-simplify]: Simplify (+ 1 0) into 1
1.957 * [taylor]: Taking taylor expansion of 1 in z
1.957 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (* 1 1) into 1
1.957 * [backup-simplify]: Simplify 1 into 1
1.958 * [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)))
1.958 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
1.958 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.958 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.958 * [taylor]: Taking taylor expansion of y in z
1.958 * [backup-simplify]: Simplify y into y
1.958 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.959 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.959 * [taylor]: Taking taylor expansion of x in z
1.959 * [backup-simplify]: Simplify x into x
1.959 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.959 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.959 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.959 * [taylor]: Taking taylor expansion of z in z
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (* 1 1) into 1
1.959 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.959 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.959 * [taylor]: Taking taylor expansion of y in y
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.960 * [backup-simplify]: Simplify (* 1 1) into 1
1.960 * [backup-simplify]: Simplify (/ 1 1) into 1
1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.960 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.960 * [taylor]: Taking taylor expansion of x in y
1.960 * [backup-simplify]: Simplify x into x
1.960 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.960 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.960 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.960 * [taylor]: Taking taylor expansion of z in y
1.960 * [backup-simplify]: Simplify z into z
1.960 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.960 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.960 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.960 * [taylor]: Taking taylor expansion of y in x
1.960 * [backup-simplify]: Simplify y into y
1.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.960 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.960 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.960 * [taylor]: Taking taylor expansion of x in x
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.961 * [backup-simplify]: Simplify (* 1 1) into 1
1.961 * [backup-simplify]: Simplify (/ 1 1) into 1
1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.961 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.961 * [taylor]: Taking taylor expansion of z in x
1.961 * [backup-simplify]: Simplify z into z
1.961 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.961 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.961 * [taylor]: Taking taylor expansion of y in x
1.961 * [backup-simplify]: Simplify y into y
1.961 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.961 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.961 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.961 * [taylor]: Taking taylor expansion of x in x
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (* 1 1) into 1
1.962 * [backup-simplify]: Simplify (/ 1 1) into 1
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.962 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.962 * [taylor]: Taking taylor expansion of z in x
1.962 * [backup-simplify]: Simplify z into z
1.962 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.962 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.962 * [backup-simplify]: Simplify (+ 1 0) into 1
1.963 * [backup-simplify]: Simplify (+ 0 1) into 1
1.963 * [taylor]: Taking taylor expansion of 1 in y
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.964 * [taylor]: Taking taylor expansion of 0 in y
1.964 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.965 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.966 * [taylor]: Taking taylor expansion of y in y
1.966 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (* 1 1) into 1
1.966 * [backup-simplify]: Simplify (/ 1 1) into 1
1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.966 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.966 * [taylor]: Taking taylor expansion of z in y
1.966 * [backup-simplify]: Simplify z into z
1.966 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.966 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.967 * [backup-simplify]: Simplify (+ 1 0) into 1
1.967 * [taylor]: Taking taylor expansion of 1 in z
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [taylor]: Taking taylor expansion of 1 in z
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [taylor]: Taking taylor expansion of 0 in y
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [taylor]: Taking taylor expansion of 0 in z
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [taylor]: Taking taylor expansion of 0 in z
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [taylor]: Taking taylor expansion of 0 in z
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.972 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [taylor]: Taking taylor expansion of 0 in y
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.974 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.974 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.974 * [taylor]: Taking taylor expansion of z in z
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (* 1 1) into 1
1.975 * [backup-simplify]: Simplify (/ 1 1) into 1
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [taylor]: Taking taylor expansion of 0 in z
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [taylor]: Taking taylor expansion of 0 in z
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [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)))
1.976 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
1.976 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.976 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.976 * [taylor]: Taking taylor expansion of y in z
1.976 * [backup-simplify]: Simplify y into y
1.976 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.976 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.976 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.976 * [taylor]: Taking taylor expansion of x in z
1.976 * [backup-simplify]: Simplify x into x
1.976 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.976 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.976 * [taylor]: Taking taylor expansion of z in z
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (* 1 1) into 1
1.977 * [backup-simplify]: Simplify (/ 1 1) into 1
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
1.977 * [backup-simplify]: Simplify (* 1 1) into 1
1.977 * [backup-simplify]: Simplify (/ 1 1) into 1
1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.977 * [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
1.978 * [taylor]: Taking taylor expansion of z in y
1.978 * [backup-simplify]: Simplify z into z
1.978 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.978 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.978 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.978 * [taylor]: Taking taylor expansion of y in x
1.978 * [backup-simplify]: Simplify y into y
1.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.978 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.978 * [taylor]: Taking taylor expansion of x in x
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify (/ 1 1) into 1
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.979 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.979 * [taylor]: Taking taylor expansion of z in x
1.979 * [backup-simplify]: Simplify z into z
1.979 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.979 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.979 * [taylor]: Taking taylor expansion of y in x
1.979 * [backup-simplify]: Simplify y into y
1.979 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.979 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.979 * [taylor]: Taking taylor expansion of x in x
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (* 1 1) into 1
1.980 * [backup-simplify]: Simplify (/ 1 1) into 1
1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.980 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.980 * [taylor]: Taking taylor expansion of z in x
1.980 * [backup-simplify]: Simplify z into z
1.980 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.980 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.980 * [backup-simplify]: Simplify (+ 1 0) into 1
1.981 * [backup-simplify]: Simplify (+ 0 1) into 1
1.981 * [taylor]: Taking taylor expansion of 1 in y
1.981 * [backup-simplify]: Simplify 1 into 1
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [taylor]: Taking taylor expansion of 0 in y
1.982 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.984 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.984 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.984 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.984 * [taylor]: Taking taylor expansion of y in y
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.984 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.984 * [taylor]: Taking taylor expansion of z in y
1.984 * [backup-simplify]: Simplify z into z
1.985 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.985 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.985 * [backup-simplify]: Simplify (+ 1 0) into 1
1.985 * [taylor]: Taking taylor expansion of 1 in z
1.985 * [backup-simplify]: Simplify 1 into 1
1.985 * [taylor]: Taking taylor expansion of 1 in z
1.985 * [backup-simplify]: Simplify 1 into 1
1.985 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [taylor]: Taking taylor expansion of 0 in y
1.990 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [taylor]: Taking taylor expansion of 0 in z
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [taylor]: Taking taylor expansion of 0 in z
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [taylor]: Taking taylor expansion of 0 in z
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [taylor]: Taking taylor expansion of 0 in y
1.998 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.999 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.999 * [taylor]: Taking taylor expansion of z in z
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [taylor]: Taking taylor expansion of 0 in z
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [taylor]: Taking taylor expansion of 0 in z
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify 1 into 1
2.001 * [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)))
2.001 * * * [progress]: simplifying candidates
2.002 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (* (sqrt (+ (* x x) (+ (pow y 2) (* z z)))) (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (* (cbrt (+ (* x x) (+ (pow y 2) (* z z)))) (cbrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (sqrt (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt 1)
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (pow (* x x) 3) (pow (+ (pow y 2) (* z z)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (+ (pow y 2) (* z z))))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z)))))
  (sqrt (- (* x x) (+ (pow y 2) (* z z))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (exp (sqrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (exp (log (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt (* (cbrt (+ (* x x) (+ (pow y 2) (* z z)))) (cbrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (exp (log (sqrt (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (exp (log (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (exp (log (sqrt (+ (pow (* x x) 3) (pow (+ (pow y 2) (* z z)) 3)))))
  (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (+ (pow y 2) (* z z))))))))
  (exp (log (sqrt (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z)))))))
  (exp (log (sqrt (- (* x x) (+ (pow y 2) (* z z))))))
  (log (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (exp (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (cbrt (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))) (cbrt (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (cbrt (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (* (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))) (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (sqrt (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (sqrt (exp (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (exp (pow y 2)) (exp (* z z)))
  (log (+ (pow y 2) (* z z)))
  (exp (+ (pow y 2) (* z z)))
  (* (cbrt (+ (pow y 2) (* z z))) (cbrt (+ (pow y 2) (* z z))))
  (cbrt (+ (pow y 2) (* z z)))
  (* (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (+ (pow y 2) (* z z)))
  (sqrt (+ (pow y 2) (* z z)))
  (sqrt (+ (pow y 2) (* z z)))
  (+ (pow (pow y 2) 3) (pow (* z z) 3))
  (+ (* (pow y 2) (pow y 2)) (- (* (* z z) (* z z)) (* (pow y 2) (* z z))))
  (- (* (pow y 2) (pow y 2)) (* (* z z) (* z z)))
  (- (pow y 2) (* z z))
  (* (exp (* x x)) (* (exp (pow y 2)) (exp (* z z))))
  (* (exp (* x x)) (exp (+ (pow y 2) (* z z))))
  (log (+ (* x x) (+ (pow y 2) (* z z))))
  (exp (+ (* x x) (+ (pow y 2) (* z z))))
  (* (cbrt (+ (* x x) (+ (pow y 2) (* z z)))) (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (cbrt (+ (* x x) (+ (pow y 2) (* z z))))
  (* (* (+ (* x x) (+ (pow y 2) (* z z))) (+ (* x x) (+ (pow y 2) (* z z)))) (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (+ (pow (* x x) 3) (pow (+ (pow y 2) (* z z)) 3))
  (+ (* (* x x) (* x x)) (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (+ (pow y 2) (* z z)))))
  (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))))
  (- (* x x) (+ (pow y 2) (* z z)))
  (+ (* x x) (pow y 2))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow z 2))
  (+ (pow y 2) (pow z 2))
  (+ (pow y 2) (pow z 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.003 * * [simplify]: iteration 0: 112 enodes
2.024 * * [simplify]: iteration 1: 285 enodes
2.144 * * [simplify]: iteration 2: 1599 enodes
2.685 * * [simplify]: iteration complete: 5000 enodes
2.685 * * [simplify]: Extracting #0: cost 44 inf + 0
2.686 * * [simplify]: Extracting #1: cost 300 inf + 9
2.689 * * [simplify]: Extracting #2: cost 1633 inf + 65
2.699 * * [simplify]: Extracting #3: cost 1813 inf + 1920
2.710 * * [simplify]: Extracting #4: cost 1083 inf + 6641
2.717 * * [simplify]: Extracting #5: cost 296 inf + 18702
2.724 * * [simplify]: Extracting #6: cost 17 inf + 23814
2.731 * * [simplify]: Extracting #7: cost 0 inf + 24027
2.746 * [simplify]: Simplified to:
  (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (exp (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (pow (exp 2) (log (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))
  (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (pow (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) 3)
  (fabs (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  1
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (+ (pow (+ (pow z 2) (* y y)) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (+ (* y y) (- (pow z 2) (pow x 2))) (+ (pow z 2) (* y y)))))
  (sqrt (- (pow x 4) (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y)))))
  (sqrt (- (- (pow x 2) (pow z 2)) (* y y)))
  1/2
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))
  (exp (sqrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))
  E
  (pow (exp 2) (log (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))
  (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (fabs (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  1
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  1
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (+ (pow (+ (pow z 2) (* y y)) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (+ (* y y) (- (pow z 2) (pow x 2))) (+ (pow z 2) (* y y)))))
  (sqrt (- (pow x 4) (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y)))))
  (sqrt (- (- (pow x 2) (pow z 2)) (* y y)))
  (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (exp (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (pow (exp 2) (log (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))
  (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (pow (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) 3)
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (exp (+ (pow z 2) (* y y)))
  (log (+ (pow z 2) (* y y)))
  (exp (+ (pow z 2) (* y y)))
  (* (cbrt (+ (pow z 2) (* y y))) (cbrt (+ (pow z 2) (* y y))))
  (cbrt (+ (pow z 2) (* y y)))
  (pow (+ (pow z 2) (* y y)) 3)
  (sqrt (+ (pow z 2) (* y y)))
  (sqrt (+ (pow z 2) (* y y)))
  (+ (pow y 6) (pow z 6))
  (- (pow z 4) (- (* (pow z 2) (* y y)) (pow y 4)))
  (- (pow y 4) (pow z 4))
  (* (+ y z) (- y z))
  (exp (+ (+ (* y y) (pow x 2)) (pow z 2)))
  (exp (+ (+ (* y y) (pow x 2)) (pow z 2)))
  (log (+ (pow x 2) (+ (pow z 2) (* y y))))
  (exp (+ (+ (* y y) (pow x 2)) (pow z 2)))
  (* (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))) (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (cbrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (pow (+ (pow x 2) (+ (pow z 2) (* y y))) 3)
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (+ (pow (+ (pow z 2) (* y y)) 3) (pow x 6))
  (+ (pow x 4) (* (+ (* y y) (- (pow z 2) (pow x 2))) (+ (pow z 2) (* y y))))
  (- (pow x 4) (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y))))
  (- (- (pow x 2) (pow z 2)) (* y y))
  (+ (* y y) (pow x 2))
  z
  x
  (- x)
  z
  x
  (- x)
  (+ (pow z 2) (* y y))
  (+ (pow z 2) (* y y))
  (+ (pow z 2) (* y y))
  (+ (pow x 2) (+ (pow z 2) (* y y)))
  (+ (pow x 2) (+ (pow z 2) (* y y)))
  (+ (pow x 2) (+ (pow z 2) (* y y)))
2.747 * * * [progress]: adding candidates to table
3.199 * * [progress]: iteration 3 / 4
3.199 * * * [progress]: picking best candidate
3.232 * * * * [pick]: Picked  #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))>
3.232 * * * [progress]: localizing error
3.298 * * * [progress]: generating rewritten candidates
3.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1)
3.365 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1)
3.431 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
3.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.493 * * * [progress]: generating series expansions
3.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1)
3.494 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.494 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x z y) around 0
3.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.494 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.494 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.494 * [taylor]: Taking taylor expansion of y in y
3.494 * [backup-simplify]: Simplify 0 into 0
3.494 * [backup-simplify]: Simplify 1 into 1
3.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.494 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.494 * [taylor]: Taking taylor expansion of x in y
3.494 * [backup-simplify]: Simplify x into x
3.494 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.494 * [taylor]: Taking taylor expansion of z in y
3.494 * [backup-simplify]: Simplify z into z
3.494 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.495 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.495 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.496 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.496 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.497 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.497 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.498 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.498 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.498 * [taylor]: Taking taylor expansion of y in z
3.498 * [backup-simplify]: Simplify y into y
3.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.498 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.498 * [taylor]: Taking taylor expansion of x in z
3.498 * [backup-simplify]: Simplify x into x
3.498 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.498 * [taylor]: Taking taylor expansion of z in z
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.499 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.499 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.499 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.499 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.500 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.501 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.501 * [taylor]: Taking taylor expansion of y in x
3.501 * [backup-simplify]: Simplify y into y
3.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.501 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.501 * [taylor]: Taking taylor expansion of x in x
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.501 * [taylor]: Taking taylor expansion of z in x
3.501 * [backup-simplify]: Simplify z into z
3.501 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.501 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.501 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.501 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.502 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.502 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.502 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.503 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.503 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.503 * [taylor]: Taking taylor expansion of y in x
3.503 * [backup-simplify]: Simplify y into y
3.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.503 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.503 * [taylor]: Taking taylor expansion of x in x
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.503 * [taylor]: Taking taylor expansion of z in x
3.503 * [backup-simplify]: Simplify z into z
3.503 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.503 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.504 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.504 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.504 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.504 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.504 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in z
3.505 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.506 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.506 * [taylor]: Taking taylor expansion of y in z
3.506 * [backup-simplify]: Simplify y into y
3.506 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.506 * [taylor]: Taking taylor expansion of z in z
3.506 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify 1 into 1
3.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.506 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.506 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.507 * [taylor]: Taking taylor expansion of y in y
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [taylor]: Taking taylor expansion of 0 in z
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [taylor]: Taking taylor expansion of 0 in y
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [taylor]: Taking taylor expansion of 0 in y
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.508 * [backup-simplify]: Simplify (* 1 1) into 1
3.508 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.509 * [backup-simplify]: Simplify (+ 1 0) into 1
3.509 * [backup-simplify]: Simplify (+ 0 1) into 1
3.510 * [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)))))
3.510 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in z
3.511 * [taylor]: Taking taylor expansion of 1/2 in z
3.511 * [backup-simplify]: Simplify 1/2 into 1/2
3.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in z
3.511 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in z
3.511 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.511 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.511 * [taylor]: Taking taylor expansion of y in z
3.511 * [backup-simplify]: Simplify y into y
3.511 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.511 * [taylor]: Taking taylor expansion of z in z
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.511 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.511 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
3.511 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
3.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
3.512 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.512 * [taylor]: Taking taylor expansion of 1/2 in y
3.513 * [backup-simplify]: Simplify 1/2 into 1/2
3.513 * [taylor]: Taking taylor expansion of y in y
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.513 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [taylor]: Taking taylor expansion of 0 in y
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.515 * [backup-simplify]: Simplify (* 1 1) into 1
3.515 * [backup-simplify]: Simplify (+ 0 1) into 1
3.516 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.516 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.516 * [taylor]: Taking taylor expansion of 1/2 in y
3.516 * [backup-simplify]: Simplify 1/2 into 1/2
3.516 * [taylor]: Taking taylor expansion of y in y
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 1 into 1
3.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
3.519 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (+ (pow (/ 1 z) 2) (* (/ 1 y) (/ 1 y))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.519 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x z y) around 0
3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.519 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.519 * [taylor]: Taking taylor expansion of y in y
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify 1 into 1
3.519 * [backup-simplify]: Simplify (* 1 1) into 1
3.520 * [backup-simplify]: Simplify (/ 1 1) into 1
3.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.520 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.520 * [taylor]: Taking taylor expansion of x in y
3.520 * [backup-simplify]: Simplify x into x
3.520 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.520 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.520 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.520 * [taylor]: Taking taylor expansion of z in y
3.520 * [backup-simplify]: Simplify z into z
3.520 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.521 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.521 * [backup-simplify]: Simplify (+ 1 0) into 1
3.521 * [backup-simplify]: Simplify (sqrt 1) into 1
3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.524 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.524 * [taylor]: Taking taylor expansion of y in z
3.524 * [backup-simplify]: Simplify y into y
3.524 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.524 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.525 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.525 * [taylor]: Taking taylor expansion of x in z
3.525 * [backup-simplify]: Simplify x into x
3.525 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.525 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.525 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.525 * [taylor]: Taking taylor expansion of z in z
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (/ 1 1) into 1
3.526 * [backup-simplify]: Simplify (+ 0 1) into 1
3.527 * [backup-simplify]: Simplify (+ 0 1) into 1
3.527 * [backup-simplify]: Simplify (sqrt 1) into 1
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify (+ 0 0) into 0
3.529 * [backup-simplify]: Simplify (+ 0 0) into 0
3.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.530 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.530 * [taylor]: Taking taylor expansion of y in x
3.530 * [backup-simplify]: Simplify y into y
3.530 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.530 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.530 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.530 * [taylor]: Taking taylor expansion of x in x
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (* 1 1) into 1
3.531 * [backup-simplify]: Simplify (/ 1 1) into 1
3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.531 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.532 * [taylor]: Taking taylor expansion of z in x
3.532 * [backup-simplify]: Simplify z into z
3.532 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.532 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.532 * [backup-simplify]: Simplify (+ 1 0) into 1
3.533 * [backup-simplify]: Simplify (+ 0 1) into 1
3.533 * [backup-simplify]: Simplify (sqrt 1) into 1
3.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.535 * [backup-simplify]: Simplify (+ 0 0) into 0
3.535 * [backup-simplify]: Simplify (+ 0 0) into 0
3.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.536 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.536 * [taylor]: Taking taylor expansion of y in x
3.536 * [backup-simplify]: Simplify y into y
3.536 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.537 * [taylor]: Taking taylor expansion of x in x
3.537 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify 1 into 1
3.537 * [backup-simplify]: Simplify (* 1 1) into 1
3.537 * [backup-simplify]: Simplify (/ 1 1) into 1
3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.537 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.537 * [taylor]: Taking taylor expansion of z in x
3.537 * [backup-simplify]: Simplify z into z
3.538 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.538 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.538 * [backup-simplify]: Simplify (+ 1 0) into 1
3.539 * [backup-simplify]: Simplify (+ 0 1) into 1
3.539 * [backup-simplify]: Simplify (sqrt 1) into 1
3.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.542 * [taylor]: Taking taylor expansion of 1 in z
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [taylor]: Taking taylor expansion of 0 in z
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [taylor]: Taking taylor expansion of 1 in y
3.542 * [backup-simplify]: Simplify 1 into 1
3.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.545 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.546 * [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))))
3.546 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
3.546 * [taylor]: Taking taylor expansion of 1/2 in z
3.546 * [backup-simplify]: Simplify 1/2 into 1/2
3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.547 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.547 * [taylor]: Taking taylor expansion of y in z
3.547 * [backup-simplify]: Simplify y into y
3.547 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.547 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.547 * [taylor]: Taking taylor expansion of z in z
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.547 * [backup-simplify]: Simplify (* 1 1) into 1
3.547 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (+ 0 1) into 1
3.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.549 * [taylor]: Taking taylor expansion of 0 in y
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [taylor]: Taking taylor expansion of 0 in y
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [taylor]: Taking taylor expansion of 0 in y
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.552 * [taylor]: Taking taylor expansion of 0 in z
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.553 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.554 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
3.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
3.554 * [taylor]: Taking taylor expansion of 1/2 in y
3.554 * [backup-simplify]: Simplify 1/2 into 1/2
3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.554 * [taylor]: Taking taylor expansion of y in y
3.554 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (* 1 1) into 1
3.554 * [backup-simplify]: Simplify (/ 1 1) into 1
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [taylor]: Taking taylor expansion of 0 in y
3.555 * [backup-simplify]: Simplify 0 into 0
3.556 * [taylor]: Taking taylor expansion of 0 in y
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.558 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [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))))))
3.560 * [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 z
3.560 * [taylor]: Taking taylor expansion of -1/2 in z
3.560 * [backup-simplify]: Simplify -1/2 into -1/2
3.560 * [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 z
3.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in z
3.560 * [taylor]: Taking taylor expansion of 1/2 in z
3.560 * [backup-simplify]: Simplify 1/2 into 1/2
3.560 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in z
3.560 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in z
3.560 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.560 * [taylor]: Taking taylor expansion of z in z
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.560 * [taylor]: Taking taylor expansion of y in z
3.560 * [backup-simplify]: Simplify y into y
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.561 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.561 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in z
3.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in z
3.561 * [taylor]: Taking taylor expansion of 1/4 in z
3.561 * [backup-simplify]: Simplify 1/4 into 1/4
3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in z
3.561 * [taylor]: Taking taylor expansion of (pow y 4) in z
3.561 * [taylor]: Taking taylor expansion of y in z
3.561 * [backup-simplify]: Simplify y into y
3.561 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.561 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
3.561 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
3.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
3.561 * [taylor]: Taking taylor expansion of 1/4 in z
3.561 * [backup-simplify]: Simplify 1/4 into 1/4
3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
3.561 * [taylor]: Taking taylor expansion of (pow z 4) in z
3.561 * [taylor]: Taking taylor expansion of z in z
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (* 1 1) into 1
3.562 * [backup-simplify]: Simplify (* 1 1) into 1
3.562 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.569 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
3.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
3.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.571 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.572 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.572 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.572 * [taylor]: Taking taylor expansion of 0 in y
3.572 * [backup-simplify]: Simplify 0 into 0
3.572 * [taylor]: Taking taylor expansion of 0 in y
3.572 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.575 * [taylor]: Taking taylor expansion of 0 in y
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [taylor]: Taking taylor expansion of 0 in y
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [taylor]: Taking taylor expansion of 0 in y
3.575 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.577 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- z)) 2) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.577 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x z y) around 0
3.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.577 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.577 * [taylor]: Taking taylor expansion of y in y
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.577 * [backup-simplify]: Simplify (* 1 1) into 1
3.578 * [backup-simplify]: Simplify (/ 1 1) into 1
3.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.578 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.578 * [taylor]: Taking taylor expansion of x in y
3.578 * [backup-simplify]: Simplify x into x
3.578 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.578 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.578 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.578 * [taylor]: Taking taylor expansion of z in y
3.578 * [backup-simplify]: Simplify z into z
3.578 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.578 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.578 * [backup-simplify]: Simplify (+ 1 0) into 1
3.579 * [backup-simplify]: Simplify (sqrt 1) into 1
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (+ 0 0) into 0
3.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.580 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.580 * [taylor]: Taking taylor expansion of y in z
3.580 * [backup-simplify]: Simplify y into y
3.580 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.580 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.580 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.580 * [taylor]: Taking taylor expansion of x in z
3.580 * [backup-simplify]: Simplify x into x
3.581 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.581 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.581 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.581 * [taylor]: Taking taylor expansion of z in z
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify 1 into 1
3.581 * [backup-simplify]: Simplify (* 1 1) into 1
3.581 * [backup-simplify]: Simplify (/ 1 1) into 1
3.581 * [backup-simplify]: Simplify (+ 0 1) into 1
3.582 * [backup-simplify]: Simplify (+ 0 1) into 1
3.582 * [backup-simplify]: Simplify (sqrt 1) into 1
3.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.585 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.585 * [taylor]: Taking taylor expansion of y in x
3.585 * [backup-simplify]: Simplify y into y
3.585 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.585 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.585 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.585 * [taylor]: Taking taylor expansion of x in x
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.586 * [backup-simplify]: Simplify (* 1 1) into 1
3.586 * [backup-simplify]: Simplify (/ 1 1) into 1
3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.586 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.586 * [taylor]: Taking taylor expansion of z in x
3.586 * [backup-simplify]: Simplify z into z
3.586 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.586 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.587 * [backup-simplify]: Simplify (+ 1 0) into 1
3.587 * [backup-simplify]: Simplify (+ 0 1) into 1
3.588 * [backup-simplify]: Simplify (sqrt 1) into 1
3.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ 0 0) into 0
3.590 * [backup-simplify]: Simplify (+ 0 0) into 0
3.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.591 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.591 * [taylor]: Taking taylor expansion of y in x
3.591 * [backup-simplify]: Simplify y into y
3.591 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.591 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.591 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.591 * [taylor]: Taking taylor expansion of x in x
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.591 * [backup-simplify]: Simplify (* 1 1) into 1
3.592 * [backup-simplify]: Simplify (/ 1 1) into 1
3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.592 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.592 * [taylor]: Taking taylor expansion of z in x
3.592 * [backup-simplify]: Simplify z into z
3.592 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.592 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.593 * [backup-simplify]: Simplify (+ 1 0) into 1
3.593 * [backup-simplify]: Simplify (+ 0 1) into 1
3.593 * [backup-simplify]: Simplify (sqrt 1) into 1
3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.595 * [backup-simplify]: Simplify (+ 0 0) into 0
3.596 * [backup-simplify]: Simplify (+ 0 0) into 0
3.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.596 * [taylor]: Taking taylor expansion of 1 in z
3.596 * [backup-simplify]: Simplify 1 into 1
3.596 * [taylor]: Taking taylor expansion of 0 in z
3.596 * [backup-simplify]: Simplify 0 into 0
3.596 * [taylor]: Taking taylor expansion of 1 in y
3.597 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.599 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.600 * [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))))
3.600 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
3.600 * [taylor]: Taking taylor expansion of 1/2 in z
3.600 * [backup-simplify]: Simplify 1/2 into 1/2
3.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.601 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.601 * [taylor]: Taking taylor expansion of y in z
3.601 * [backup-simplify]: Simplify y into y
3.601 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.601 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.601 * [taylor]: Taking taylor expansion of z in z
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (* 1 1) into 1
3.602 * [backup-simplify]: Simplify (/ 1 1) into 1
3.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.603 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (+ 0 1) into 1
3.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.604 * [taylor]: Taking taylor expansion of 0 in y
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [taylor]: Taking taylor expansion of 0 in y
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [taylor]: Taking taylor expansion of 0 in y
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 1 into 1
3.604 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.607 * [taylor]: Taking taylor expansion of 0 in z
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.608 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.608 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
3.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
3.608 * [taylor]: Taking taylor expansion of 1/2 in y
3.608 * [backup-simplify]: Simplify 1/2 into 1/2
3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.608 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.608 * [taylor]: Taking taylor expansion of y in y
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (* 1 1) into 1
3.609 * [backup-simplify]: Simplify (/ 1 1) into 1
3.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [taylor]: Taking taylor expansion of 0 in y
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [taylor]: Taking taylor expansion of 0 in y
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.614 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.614 * [backup-simplify]: Simplify (+ 0 0) into 0
3.615 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [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))))))
3.616 * [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 z
3.616 * [taylor]: Taking taylor expansion of -1/2 in z
3.616 * [backup-simplify]: Simplify -1/2 into -1/2
3.616 * [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 z
3.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in z
3.616 * [taylor]: Taking taylor expansion of 1/2 in z
3.616 * [backup-simplify]: Simplify 1/2 into 1/2
3.616 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in z
3.616 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in z
3.616 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.616 * [taylor]: Taking taylor expansion of z in z
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.616 * [taylor]: Taking taylor expansion of y in z
3.616 * [backup-simplify]: Simplify y into y
3.616 * [backup-simplify]: Simplify (* 1 1) into 1
3.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.616 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.616 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in z
3.616 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in z
3.617 * [taylor]: Taking taylor expansion of 1/4 in z
3.617 * [backup-simplify]: Simplify 1/4 into 1/4
3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in z
3.617 * [taylor]: Taking taylor expansion of (pow y 4) in z
3.617 * [taylor]: Taking taylor expansion of y in z
3.617 * [backup-simplify]: Simplify y into y
3.617 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.617 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
3.617 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
3.617 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
3.617 * [taylor]: Taking taylor expansion of 1/4 in z
3.617 * [backup-simplify]: Simplify 1/4 into 1/4
3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
3.617 * [taylor]: Taking taylor expansion of (pow z 4) in z
3.617 * [taylor]: Taking taylor expansion of z in z
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (* 1 1) into 1
3.619 * [backup-simplify]: Simplify (* 1 1) into 1
3.619 * [backup-simplify]: Simplify (/ 1 1) into 1
3.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ 0 0) into 0
3.626 * [backup-simplify]: Simplify (+ 0 0) into 0
3.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
3.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
3.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.628 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.629 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.629 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.630 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.630 * [taylor]: Taking taylor expansion of 0 in y
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [taylor]: Taking taylor expansion of 0 in y
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.631 * [backup-simplify]: Simplify (+ 0 0) into 0
3.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.632 * [taylor]: Taking taylor expansion of 0 in y
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [taylor]: Taking taylor expansion of 0 in y
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [taylor]: Taking taylor expansion of 0 in y
3.632 * [backup-simplify]: Simplify 0 into 0
3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.634 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1)
3.635 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.635 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x z y) around 0
3.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.635 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.635 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.635 * [taylor]: Taking taylor expansion of y in y
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.635 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.635 * [taylor]: Taking taylor expansion of x in y
3.635 * [backup-simplify]: Simplify x into x
3.635 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.635 * [taylor]: Taking taylor expansion of z in y
3.635 * [backup-simplify]: Simplify z into z
3.635 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.635 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.635 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.636 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.636 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.636 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.637 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.637 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.637 * [taylor]: Taking taylor expansion of y in z
3.637 * [backup-simplify]: Simplify y into y
3.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.638 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.638 * [taylor]: Taking taylor expansion of x in z
3.638 * [backup-simplify]: Simplify x into x
3.638 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.638 * [taylor]: Taking taylor expansion of z in z
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.638 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.638 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.638 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.638 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.638 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.639 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.640 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.640 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.640 * [taylor]: Taking taylor expansion of y in x
3.640 * [backup-simplify]: Simplify y into y
3.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.640 * [taylor]: Taking taylor expansion of x in x
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.640 * [taylor]: Taking taylor expansion of z in x
3.640 * [backup-simplify]: Simplify z into z
3.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.640 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.640 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.640 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.641 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.641 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.642 * [backup-simplify]: Simplify (+ 0 0) into 0
3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.642 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.642 * [taylor]: Taking taylor expansion of y in x
3.642 * [backup-simplify]: Simplify y into y
3.642 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.642 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.642 * [taylor]: Taking taylor expansion of x in x
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify 1 into 1
3.642 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.642 * [taylor]: Taking taylor expansion of z in x
3.642 * [backup-simplify]: Simplify z into z
3.643 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.643 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.643 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.643 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.643 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.643 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.643 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.644 * [backup-simplify]: Simplify (+ 0 0) into 0
3.644 * [backup-simplify]: Simplify (+ 0 0) into 0
3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in z
3.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.645 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.645 * [taylor]: Taking taylor expansion of y in z
3.645 * [backup-simplify]: Simplify y into y
3.645 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.645 * [taylor]: Taking taylor expansion of z in z
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.645 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.645 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.646 * [backup-simplify]: Simplify (+ 0 0) into 0
3.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.646 * [taylor]: Taking taylor expansion of y in y
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [taylor]: Taking taylor expansion of 0 in z
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [taylor]: Taking taylor expansion of 0 in y
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [taylor]: Taking taylor expansion of 0 in y
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.647 * [backup-simplify]: Simplify (* 1 1) into 1
3.648 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.648 * [backup-simplify]: Simplify (+ 1 0) into 1
3.648 * [backup-simplify]: Simplify (+ 0 1) into 1
3.649 * [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)))))
3.649 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in z
3.650 * [taylor]: Taking taylor expansion of 1/2 in z
3.650 * [backup-simplify]: Simplify 1/2 into 1/2
3.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in z
3.650 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in z
3.650 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.650 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.650 * [taylor]: Taking taylor expansion of y in z
3.650 * [backup-simplify]: Simplify y into y
3.650 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.650 * [taylor]: Taking taylor expansion of z in z
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.650 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.650 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.650 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
3.650 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
3.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
3.651 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.652 * [taylor]: Taking taylor expansion of 1/2 in y
3.652 * [backup-simplify]: Simplify 1/2 into 1/2
3.652 * [taylor]: Taking taylor expansion of y in y
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [taylor]: Taking taylor expansion of 0 in y
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.654 * [backup-simplify]: Simplify (* 1 1) into 1
3.655 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.655 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.655 * [taylor]: Taking taylor expansion of 1/2 in y
3.655 * [backup-simplify]: Simplify 1/2 into 1/2
3.655 * [taylor]: Taking taylor expansion of y in y
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
3.658 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (+ (pow (/ 1 z) 2) (* (/ 1 y) (/ 1 y))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.658 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x z y) around 0
3.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.658 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.659 * [taylor]: Taking taylor expansion of y in y
3.659 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify 1 into 1
3.659 * [backup-simplify]: Simplify (* 1 1) into 1
3.659 * [backup-simplify]: Simplify (/ 1 1) into 1
3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.660 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.660 * [taylor]: Taking taylor expansion of x in y
3.660 * [backup-simplify]: Simplify x into x
3.660 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.660 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.660 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.660 * [taylor]: Taking taylor expansion of z in y
3.660 * [backup-simplify]: Simplify z into z
3.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.660 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.661 * [backup-simplify]: Simplify (+ 1 0) into 1
3.661 * [backup-simplify]: Simplify (sqrt 1) into 1
3.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.663 * [backup-simplify]: Simplify (+ 0 0) into 0
3.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.664 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.664 * [taylor]: Taking taylor expansion of y in z
3.664 * [backup-simplify]: Simplify y into y
3.664 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.664 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.664 * [taylor]: Taking taylor expansion of x in z
3.664 * [backup-simplify]: Simplify x into x
3.664 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.664 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.664 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.665 * [taylor]: Taking taylor expansion of z in z
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (* 1 1) into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.666 * [backup-simplify]: Simplify (+ 0 1) into 1
3.666 * [backup-simplify]: Simplify (+ 0 1) into 1
3.667 * [backup-simplify]: Simplify (sqrt 1) into 1
3.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.668 * [backup-simplify]: Simplify (+ 0 0) into 0
3.669 * [backup-simplify]: Simplify (+ 0 0) into 0
3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.670 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.670 * [taylor]: Taking taylor expansion of y in x
3.670 * [backup-simplify]: Simplify y into y
3.670 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.670 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.670 * [taylor]: Taking taylor expansion of x in x
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 1 into 1
3.671 * [backup-simplify]: Simplify (* 1 1) into 1
3.671 * [backup-simplify]: Simplify (/ 1 1) into 1
3.671 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.671 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.671 * [taylor]: Taking taylor expansion of z in x
3.671 * [backup-simplify]: Simplify z into z
3.671 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.671 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.672 * [backup-simplify]: Simplify (+ 1 0) into 1
3.672 * [backup-simplify]: Simplify (+ 0 1) into 1
3.673 * [backup-simplify]: Simplify (sqrt 1) into 1
3.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.674 * [backup-simplify]: Simplify (+ 0 0) into 0
3.675 * [backup-simplify]: Simplify (+ 0 0) into 0
3.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.676 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.676 * [taylor]: Taking taylor expansion of y in x
3.676 * [backup-simplify]: Simplify y into y
3.676 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.676 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.676 * [taylor]: Taking taylor expansion of x in x
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [backup-simplify]: Simplify (* 1 1) into 1
3.677 * [backup-simplify]: Simplify (/ 1 1) into 1
3.677 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.677 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.677 * [taylor]: Taking taylor expansion of z in x
3.677 * [backup-simplify]: Simplify z into z
3.677 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.677 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.678 * [backup-simplify]: Simplify (+ 1 0) into 1
3.678 * [backup-simplify]: Simplify (+ 0 1) into 1
3.678 * [backup-simplify]: Simplify (sqrt 1) into 1
3.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (+ 0 0) into 0
3.681 * [backup-simplify]: Simplify (+ 0 0) into 0
3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.681 * [taylor]: Taking taylor expansion of 1 in z
3.681 * [backup-simplify]: Simplify 1 into 1
3.682 * [taylor]: Taking taylor expansion of 0 in z
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [taylor]: Taking taylor expansion of 1 in y
3.682 * [backup-simplify]: Simplify 1 into 1
3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.684 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.684 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.686 * [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))))
3.686 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
3.686 * [taylor]: Taking taylor expansion of 1/2 in z
3.686 * [backup-simplify]: Simplify 1/2 into 1/2
3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.686 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.686 * [taylor]: Taking taylor expansion of y in z
3.686 * [backup-simplify]: Simplify y into y
3.686 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.686 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.686 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.686 * [taylor]: Taking taylor expansion of z in z
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.687 * [backup-simplify]: Simplify (* 1 1) into 1
3.687 * [backup-simplify]: Simplify (/ 1 1) into 1
3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.689 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (+ 0 1) into 1
3.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.690 * [taylor]: Taking taylor expansion of 0 in y
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in y
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in y
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify 1 into 1
3.691 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.694 * [backup-simplify]: Simplify (+ 0 0) into 0
3.694 * [backup-simplify]: Simplify (+ 0 0) into 0
3.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.695 * [taylor]: Taking taylor expansion of 0 in z
3.695 * [backup-simplify]: Simplify 0 into 0
3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.697 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.698 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
3.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
3.698 * [taylor]: Taking taylor expansion of 1/2 in y
3.698 * [backup-simplify]: Simplify 1/2 into 1/2
3.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.698 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.698 * [taylor]: Taking taylor expansion of y in y
3.698 * [backup-simplify]: Simplify 0 into 0
3.698 * [backup-simplify]: Simplify 1 into 1
3.698 * [backup-simplify]: Simplify (* 1 1) into 1
3.699 * [backup-simplify]: Simplify (/ 1 1) into 1
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [taylor]: Taking taylor expansion of 0 in y
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [taylor]: Taking taylor expansion of 0 in y
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.705 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.706 * [backup-simplify]: Simplify (+ 0 0) into 0
3.706 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [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))))))
3.708 * [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 z
3.708 * [taylor]: Taking taylor expansion of -1/2 in z
3.708 * [backup-simplify]: Simplify -1/2 into -1/2
3.708 * [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 z
3.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in z
3.708 * [taylor]: Taking taylor expansion of 1/2 in z
3.708 * [backup-simplify]: Simplify 1/2 into 1/2
3.708 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in z
3.708 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in z
3.708 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.708 * [taylor]: Taking taylor expansion of z in z
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 1 into 1
3.708 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.708 * [taylor]: Taking taylor expansion of y in z
3.708 * [backup-simplify]: Simplify y into y
3.709 * [backup-simplify]: Simplify (* 1 1) into 1
3.709 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.709 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.709 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in z
3.709 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in z
3.709 * [taylor]: Taking taylor expansion of 1/4 in z
3.709 * [backup-simplify]: Simplify 1/4 into 1/4
3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in z
3.709 * [taylor]: Taking taylor expansion of (pow y 4) in z
3.709 * [taylor]: Taking taylor expansion of y in z
3.709 * [backup-simplify]: Simplify y into y
3.709 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.709 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
3.710 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
3.710 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
3.710 * [taylor]: Taking taylor expansion of 1/4 in z
3.710 * [backup-simplify]: Simplify 1/4 into 1/4
3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
3.710 * [taylor]: Taking taylor expansion of (pow z 4) in z
3.710 * [taylor]: Taking taylor expansion of z in z
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify 1 into 1
3.710 * [backup-simplify]: Simplify (* 1 1) into 1
3.711 * [backup-simplify]: Simplify (* 1 1) into 1
3.711 * [backup-simplify]: Simplify (/ 1 1) into 1
3.711 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
3.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.725 * [backup-simplify]: Simplify (+ 0 0) into 0
3.725 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
3.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.727 * [backup-simplify]: Simplify (+ 0 0) into 0
3.727 * [backup-simplify]: Simplify (+ 0 0) into 0
3.727 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.728 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.728 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.730 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.730 * [taylor]: Taking taylor expansion of 0 in y
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [taylor]: Taking taylor expansion of 0 in y
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.732 * [backup-simplify]: Simplify (+ 0 0) into 0
3.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.732 * [taylor]: Taking taylor expansion of 0 in y
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [taylor]: Taking taylor expansion of 0 in y
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [taylor]: Taking taylor expansion of 0 in y
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.735 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- z)) 2) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.735 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x z y) around 0
3.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.735 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.735 * [taylor]: Taking taylor expansion of y in y
3.735 * [backup-simplify]: Simplify 0 into 0
3.735 * [backup-simplify]: Simplify 1 into 1
3.735 * [backup-simplify]: Simplify (* 1 1) into 1
3.735 * [backup-simplify]: Simplify (/ 1 1) into 1
3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.735 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.735 * [taylor]: Taking taylor expansion of x in y
3.735 * [backup-simplify]: Simplify x into x
3.735 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.736 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.736 * [taylor]: Taking taylor expansion of z in y
3.736 * [backup-simplify]: Simplify z into z
3.736 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.736 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.736 * [backup-simplify]: Simplify (+ 1 0) into 1
3.736 * [backup-simplify]: Simplify (sqrt 1) into 1
3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (+ 0 0) into 0
3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.738 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.738 * [taylor]: Taking taylor expansion of y in z
3.738 * [backup-simplify]: Simplify y into y
3.738 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.738 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.738 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.738 * [taylor]: Taking taylor expansion of x in z
3.738 * [backup-simplify]: Simplify x into x
3.738 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.738 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.738 * [taylor]: Taking taylor expansion of z in z
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 1 into 1
3.738 * [backup-simplify]: Simplify (* 1 1) into 1
3.739 * [backup-simplify]: Simplify (/ 1 1) into 1
3.739 * [backup-simplify]: Simplify (+ 0 1) into 1
3.739 * [backup-simplify]: Simplify (+ 0 1) into 1
3.740 * [backup-simplify]: Simplify (sqrt 1) into 1
3.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.741 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.741 * [taylor]: Taking taylor expansion of y in x
3.741 * [backup-simplify]: Simplify y into y
3.741 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.741 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.742 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.742 * [taylor]: Taking taylor expansion of x in x
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify 1 into 1
3.742 * [backup-simplify]: Simplify (* 1 1) into 1
3.742 * [backup-simplify]: Simplify (/ 1 1) into 1
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.742 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.742 * [taylor]: Taking taylor expansion of z in x
3.742 * [backup-simplify]: Simplify z into z
3.742 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.742 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.743 * [backup-simplify]: Simplify (+ 1 0) into 1
3.743 * [backup-simplify]: Simplify (+ 0 1) into 1
3.743 * [backup-simplify]: Simplify (sqrt 1) into 1
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.744 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.745 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.745 * [taylor]: Taking taylor expansion of y in x
3.745 * [backup-simplify]: Simplify y into y
3.745 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.745 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.745 * [taylor]: Taking taylor expansion of x in x
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 1 into 1
3.746 * [backup-simplify]: Simplify (* 1 1) into 1
3.746 * [backup-simplify]: Simplify (/ 1 1) into 1
3.746 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.746 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.746 * [taylor]: Taking taylor expansion of z in x
3.746 * [backup-simplify]: Simplify z into z
3.746 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.746 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.746 * [backup-simplify]: Simplify (+ 1 0) into 1
3.747 * [backup-simplify]: Simplify (+ 0 1) into 1
3.747 * [backup-simplify]: Simplify (sqrt 1) into 1
3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.751 * [taylor]: Taking taylor expansion of 1 in z
3.751 * [backup-simplify]: Simplify 1 into 1
3.751 * [taylor]: Taking taylor expansion of 0 in z
3.751 * [backup-simplify]: Simplify 0 into 0
3.751 * [taylor]: Taking taylor expansion of 1 in y
3.751 * [backup-simplify]: Simplify 1 into 1
3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.752 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.754 * [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))))
3.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
3.754 * [taylor]: Taking taylor expansion of 1/2 in z
3.754 * [backup-simplify]: Simplify 1/2 into 1/2
3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.754 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.754 * [taylor]: Taking taylor expansion of y in z
3.754 * [backup-simplify]: Simplify y into y
3.754 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.754 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.754 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.754 * [taylor]: Taking taylor expansion of z in z
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.754 * [backup-simplify]: Simplify (* 1 1) into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (+ 0 1) into 1
3.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.756 * [taylor]: Taking taylor expansion of 0 in y
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [taylor]: Taking taylor expansion of 0 in y
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [taylor]: Taking taylor expansion of 0 in y
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 1 into 1
3.757 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.759 * [backup-simplify]: Simplify (+ 0 0) into 0
3.759 * [backup-simplify]: Simplify (+ 0 0) into 0
3.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.760 * [taylor]: Taking taylor expansion of 0 in z
3.760 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.762 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.763 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
3.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
3.763 * [taylor]: Taking taylor expansion of 1/2 in y
3.763 * [backup-simplify]: Simplify 1/2 into 1/2
3.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.763 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.763 * [taylor]: Taking taylor expansion of y in y
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (* 1 1) into 1
3.764 * [backup-simplify]: Simplify (/ 1 1) into 1
3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [taylor]: Taking taylor expansion of 0 in y
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [taylor]: Taking taylor expansion of 0 in y
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.771 * [backup-simplify]: Simplify (+ 0 0) into 0
3.773 * [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))))))
3.773 * [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 z
3.773 * [taylor]: Taking taylor expansion of -1/2 in z
3.773 * [backup-simplify]: Simplify -1/2 into -1/2
3.773 * [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 z
3.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in z
3.773 * [taylor]: Taking taylor expansion of 1/2 in z
3.773 * [backup-simplify]: Simplify 1/2 into 1/2
3.773 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in z
3.773 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in z
3.773 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.773 * [taylor]: Taking taylor expansion of z in z
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 1 into 1
3.773 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.773 * [taylor]: Taking taylor expansion of y in z
3.773 * [backup-simplify]: Simplify y into y
3.773 * [backup-simplify]: Simplify (* 1 1) into 1
3.774 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.774 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.774 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in z
3.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in z
3.774 * [taylor]: Taking taylor expansion of 1/4 in z
3.774 * [backup-simplify]: Simplify 1/4 into 1/4
3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in z
3.774 * [taylor]: Taking taylor expansion of (pow y 4) in z
3.774 * [taylor]: Taking taylor expansion of y in z
3.774 * [backup-simplify]: Simplify y into y
3.774 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.774 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
3.774 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
3.775 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
3.775 * [taylor]: Taking taylor expansion of 1/4 in z
3.775 * [backup-simplify]: Simplify 1/4 into 1/4
3.775 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
3.775 * [taylor]: Taking taylor expansion of (pow z 4) in z
3.775 * [taylor]: Taking taylor expansion of z in z
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 1 into 1
3.775 * [backup-simplify]: Simplify (* 1 1) into 1
3.775 * [backup-simplify]: Simplify (* 1 1) into 1
3.775 * [backup-simplify]: Simplify (/ 1 1) into 1
3.775 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
3.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
3.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.785 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.785 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.785 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.786 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.786 * [taylor]: Taking taylor expansion of 0 in y
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [taylor]: Taking taylor expansion of 0 in y
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.788 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.789 * [taylor]: Taking taylor expansion of 0 in y
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [taylor]: Taking taylor expansion of 0 in y
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [taylor]: Taking taylor expansion of 0 in y
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.790 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.791 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
3.791 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (pow y 2) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.791 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.791 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.791 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.791 * [taylor]: Taking taylor expansion of y in z
3.791 * [backup-simplify]: Simplify y into y
3.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.791 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.791 * [taylor]: Taking taylor expansion of x in z
3.791 * [backup-simplify]: Simplify x into x
3.791 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.791 * [taylor]: Taking taylor expansion of z in z
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.791 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.791 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.791 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.791 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.792 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.792 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.792 * [backup-simplify]: Simplify (+ 0 0) into 0
3.792 * [backup-simplify]: Simplify (+ 0 0) into 0
3.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.792 * [taylor]: Taking taylor expansion of y in y
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.792 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.792 * [taylor]: Taking taylor expansion of x in y
3.792 * [backup-simplify]: Simplify x into x
3.792 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.793 * [taylor]: Taking taylor expansion of z in y
3.793 * [backup-simplify]: Simplify z into z
3.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.793 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.793 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.793 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.793 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.793 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.793 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.794 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.794 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.794 * [taylor]: Taking taylor expansion of y in x
3.794 * [backup-simplify]: Simplify y into y
3.794 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.794 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.794 * [taylor]: Taking taylor expansion of x in x
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 1 into 1
3.794 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.794 * [taylor]: Taking taylor expansion of z in x
3.794 * [backup-simplify]: Simplify z into z
3.794 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.794 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.794 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.795 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.795 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.795 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.795 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (+ 0 0) into 0
3.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.796 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.796 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.796 * [taylor]: Taking taylor expansion of y in x
3.796 * [backup-simplify]: Simplify y into y
3.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.796 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.796 * [taylor]: Taking taylor expansion of x in x
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.796 * [taylor]: Taking taylor expansion of z in x
3.796 * [backup-simplify]: Simplify z into z
3.796 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.796 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.796 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.796 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.796 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.796 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.796 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.797 * [backup-simplify]: Simplify (+ 0 0) into 0
3.797 * [backup-simplify]: Simplify (+ 0 0) into 0
3.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.797 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.797 * [taylor]: Taking taylor expansion of y in y
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.797 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.797 * [taylor]: Taking taylor expansion of z in y
3.797 * [backup-simplify]: Simplify z into z
3.797 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.797 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.797 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.797 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.798 * [backup-simplify]: Simplify (+ 0 0) into 0
3.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.798 * [taylor]: Taking taylor expansion of z in z
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [taylor]: Taking taylor expansion of 0 in y
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [taylor]: Taking taylor expansion of 0 in z
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [taylor]: Taking taylor expansion of 0 in z
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.799 * [backup-simplify]: Simplify (* 1 1) into 1
3.799 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.799 * [backup-simplify]: Simplify (+ 1 0) into 1
3.799 * [backup-simplify]: Simplify (+ 0 1) into 1
3.800 * [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)))))
3.800 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.800 * [taylor]: Taking taylor expansion of 1/2 in y
3.800 * [backup-simplify]: Simplify 1/2 into 1/2
3.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.800 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.800 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.800 * [taylor]: Taking taylor expansion of y in y
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 1 into 1
3.800 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.800 * [taylor]: Taking taylor expansion of z in y
3.800 * [backup-simplify]: Simplify z into z
3.800 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.800 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.800 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.801 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.801 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.801 * [backup-simplify]: Simplify (+ 0 0) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.801 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.801 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.801 * [taylor]: Taking taylor expansion of 1/2 in z
3.801 * [backup-simplify]: Simplify 1/2 into 1/2
3.801 * [taylor]: Taking taylor expansion of z in z
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 1 into 1
3.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.802 * [backup-simplify]: Simplify 0 into 0
3.802 * [taylor]: Taking taylor expansion of 0 in z
3.802 * [backup-simplify]: Simplify 0 into 0
3.802 * [backup-simplify]: Simplify 0 into 0
3.802 * [backup-simplify]: Simplify (* 1 1) into 1
3.803 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.803 * [backup-simplify]: Simplify (+ 1 0) into 1
3.804 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.804 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.804 * [taylor]: Taking taylor expansion of 1/2 in z
3.804 * [backup-simplify]: Simplify 1/2 into 1/2
3.804 * [taylor]: Taking taylor expansion of z in z
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.807 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.807 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.807 * [taylor]: Taking taylor expansion of y in z
3.807 * [backup-simplify]: Simplify y into y
3.807 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.807 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.807 * [taylor]: Taking taylor expansion of x in z
3.807 * [backup-simplify]: Simplify x into x
3.807 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.808 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.808 * [taylor]: Taking taylor expansion of z in z
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (/ 1 1) into 1
3.809 * [backup-simplify]: Simplify (+ 0 1) into 1
3.809 * [backup-simplify]: Simplify (+ 0 1) into 1
3.810 * [backup-simplify]: Simplify (sqrt 1) into 1
3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.811 * [backup-simplify]: Simplify (+ 0 0) into 0
3.812 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.813 * [taylor]: Taking taylor expansion of y in y
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (* 1 1) into 1
3.813 * [backup-simplify]: Simplify (/ 1 1) into 1
3.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.814 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.814 * [taylor]: Taking taylor expansion of x in y
3.814 * [backup-simplify]: Simplify x into x
3.814 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.814 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.814 * [taylor]: Taking taylor expansion of z in y
3.814 * [backup-simplify]: Simplify z into z
3.814 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.814 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.815 * [backup-simplify]: Simplify (+ 1 0) into 1
3.815 * [backup-simplify]: Simplify (sqrt 1) into 1
3.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.818 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.818 * [taylor]: Taking taylor expansion of y in x
3.818 * [backup-simplify]: Simplify y into y
3.818 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.818 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.818 * [taylor]: Taking taylor expansion of x in x
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 1 into 1
3.819 * [backup-simplify]: Simplify (* 1 1) into 1
3.819 * [backup-simplify]: Simplify (/ 1 1) into 1
3.819 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.819 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.819 * [taylor]: Taking taylor expansion of z in x
3.820 * [backup-simplify]: Simplify z into z
3.820 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.820 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.820 * [backup-simplify]: Simplify (+ 1 0) into 1
3.821 * [backup-simplify]: Simplify (+ 0 1) into 1
3.821 * [backup-simplify]: Simplify (sqrt 1) into 1
3.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify (+ 0 0) into 0
3.823 * [backup-simplify]: Simplify (+ 0 0) into 0
3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.824 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.824 * [taylor]: Taking taylor expansion of y in x
3.824 * [backup-simplify]: Simplify y into y
3.824 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.824 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.824 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.825 * [taylor]: Taking taylor expansion of x in x
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.825 * [backup-simplify]: Simplify (* 1 1) into 1
3.825 * [backup-simplify]: Simplify (/ 1 1) into 1
3.825 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.825 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.825 * [taylor]: Taking taylor expansion of z in x
3.825 * [backup-simplify]: Simplify z into z
3.825 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.826 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.826 * [backup-simplify]: Simplify (+ 1 0) into 1
3.827 * [backup-simplify]: Simplify (+ 0 1) into 1
3.827 * [backup-simplify]: Simplify (sqrt 1) into 1
3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.830 * [taylor]: Taking taylor expansion of 1 in y
3.830 * [backup-simplify]: Simplify 1 into 1
3.830 * [taylor]: Taking taylor expansion of 0 in y
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [taylor]: Taking taylor expansion of 1 in z
3.830 * [backup-simplify]: Simplify 1 into 1
3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.833 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.834 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.834 * [taylor]: Taking taylor expansion of 1/2 in y
3.834 * [backup-simplify]: Simplify 1/2 into 1/2
3.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.834 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.834 * [taylor]: Taking taylor expansion of y in y
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (* 1 1) into 1
3.835 * [backup-simplify]: Simplify (/ 1 1) into 1
3.835 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.835 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.835 * [taylor]: Taking taylor expansion of z in y
3.835 * [backup-simplify]: Simplify z into z
3.835 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.836 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.837 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [backup-simplify]: Simplify (+ 1 0) into 1
3.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.839 * [taylor]: Taking taylor expansion of 0 in z
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [taylor]: Taking taylor expansion of 0 in z
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [taylor]: Taking taylor expansion of 0 in z
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.843 * [backup-simplify]: Simplify (+ 0 0) into 0
3.843 * [backup-simplify]: Simplify (+ 0 0) into 0
3.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.844 * [taylor]: Taking taylor expansion of 0 in y
3.844 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.847 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.847 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.848 * [taylor]: Taking taylor expansion of 1/2 in z
3.848 * [backup-simplify]: Simplify 1/2 into 1/2
3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.848 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.848 * [taylor]: Taking taylor expansion of z in z
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (* 1 1) into 1
3.848 * [backup-simplify]: Simplify (/ 1 1) into 1
3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [taylor]: Taking taylor expansion of 0 in z
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [taylor]: Taking taylor expansion of 0 in z
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.855 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.856 * [backup-simplify]: Simplify (+ 0 0) into 0
3.856 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [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))))))
3.858 * [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
3.858 * [taylor]: Taking taylor expansion of -1/2 in y
3.858 * [backup-simplify]: Simplify -1/2 into -1/2
3.858 * [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
3.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.858 * [taylor]: Taking taylor expansion of 1/2 in y
3.858 * [backup-simplify]: Simplify 1/2 into 1/2
3.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.858 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.858 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.858 * [taylor]: Taking taylor expansion of z in y
3.858 * [backup-simplify]: Simplify z into z
3.858 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.858 * [taylor]: Taking taylor expansion of y in y
3.858 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.859 * [backup-simplify]: Simplify (* 1 1) into 1
3.859 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.859 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.859 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.859 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.859 * [taylor]: Taking taylor expansion of 1/4 in y
3.859 * [backup-simplify]: Simplify 1/4 into 1/4
3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.859 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.859 * [taylor]: Taking taylor expansion of y in y
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 1 into 1
3.859 * [backup-simplify]: Simplify (* 1 1) into 1
3.860 * [backup-simplify]: Simplify (* 1 1) into 1
3.860 * [backup-simplify]: Simplify (/ 1 1) into 1
3.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.860 * [taylor]: Taking taylor expansion of 1/4 in y
3.860 * [backup-simplify]: Simplify 1/4 into 1/4
3.860 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.860 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.860 * [taylor]: Taking taylor expansion of z in y
3.860 * [backup-simplify]: Simplify z into z
3.860 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.860 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.860 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.861 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.868 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.870 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.870 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.870 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.871 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.871 * [taylor]: Taking taylor expansion of 0 in z
3.871 * [backup-simplify]: Simplify 0 into 0
3.871 * [taylor]: Taking taylor expansion of 0 in z
3.871 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.872 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.875 * [taylor]: Taking taylor expansion of 0 in z
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [taylor]: Taking taylor expansion of 0 in z
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [taylor]: Taking taylor expansion of 0 in z
3.875 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.877 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.878 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.878 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.878 * [taylor]: Taking taylor expansion of y in z
3.878 * [backup-simplify]: Simplify y into y
3.878 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.878 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.878 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.878 * [taylor]: Taking taylor expansion of x in z
3.878 * [backup-simplify]: Simplify x into x
3.878 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.878 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.878 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.878 * [taylor]: Taking taylor expansion of z in z
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify (* 1 1) into 1
3.879 * [backup-simplify]: Simplify (/ 1 1) into 1
3.879 * [backup-simplify]: Simplify (+ 0 1) into 1
3.879 * [backup-simplify]: Simplify (+ 0 1) into 1
3.879 * [backup-simplify]: Simplify (sqrt 1) into 1
3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.880 * [backup-simplify]: Simplify (+ 0 0) into 0
3.881 * [backup-simplify]: Simplify (+ 0 0) into 0
3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.881 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.881 * [taylor]: Taking taylor expansion of y in y
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 1 into 1
3.881 * [backup-simplify]: Simplify (* 1 1) into 1
3.882 * [backup-simplify]: Simplify (/ 1 1) into 1
3.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.882 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.882 * [taylor]: Taking taylor expansion of x in y
3.882 * [backup-simplify]: Simplify x into x
3.882 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.882 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.882 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.882 * [taylor]: Taking taylor expansion of z in y
3.882 * [backup-simplify]: Simplify z into z
3.882 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.882 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.882 * [backup-simplify]: Simplify (+ 1 0) into 1
3.883 * [backup-simplify]: Simplify (sqrt 1) into 1
3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.884 * [backup-simplify]: Simplify (+ 0 0) into 0
3.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.884 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.884 * [taylor]: Taking taylor expansion of y in x
3.884 * [backup-simplify]: Simplify y into y
3.884 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.884 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.884 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.884 * [taylor]: Taking taylor expansion of x in x
3.884 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.885 * [backup-simplify]: Simplify (* 1 1) into 1
3.885 * [backup-simplify]: Simplify (/ 1 1) into 1
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.885 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.885 * [taylor]: Taking taylor expansion of z in x
3.885 * [backup-simplify]: Simplify z into z
3.885 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.885 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.885 * [backup-simplify]: Simplify (+ 1 0) into 1
3.886 * [backup-simplify]: Simplify (+ 0 1) into 1
3.886 * [backup-simplify]: Simplify (sqrt 1) into 1
3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.889 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.889 * [taylor]: Taking taylor expansion of y in x
3.889 * [backup-simplify]: Simplify y into y
3.889 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.889 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.889 * [taylor]: Taking taylor expansion of x in x
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.889 * [backup-simplify]: Simplify (* 1 1) into 1
3.890 * [backup-simplify]: Simplify (/ 1 1) into 1
3.890 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.890 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.890 * [taylor]: Taking taylor expansion of z in x
3.890 * [backup-simplify]: Simplify z into z
3.890 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.890 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.891 * [backup-simplify]: Simplify (+ 1 0) into 1
3.891 * [backup-simplify]: Simplify (+ 0 1) into 1
3.891 * [backup-simplify]: Simplify (sqrt 1) into 1
3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.893 * [backup-simplify]: Simplify (+ 0 0) into 0
3.894 * [backup-simplify]: Simplify (+ 0 0) into 0
3.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.894 * [taylor]: Taking taylor expansion of 1 in y
3.894 * [backup-simplify]: Simplify 1 into 1
3.895 * [taylor]: Taking taylor expansion of 0 in y
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [taylor]: Taking taylor expansion of 1 in z
3.895 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.897 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.899 * [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))))
3.899 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.899 * [taylor]: Taking taylor expansion of 1/2 in y
3.899 * [backup-simplify]: Simplify 1/2 into 1/2
3.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.899 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.899 * [taylor]: Taking taylor expansion of y in y
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [backup-simplify]: Simplify (* 1 1) into 1
3.900 * [backup-simplify]: Simplify (/ 1 1) into 1
3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.900 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.900 * [taylor]: Taking taylor expansion of z in y
3.900 * [backup-simplify]: Simplify z into z
3.900 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.900 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ 0 0) into 0
3.902 * [backup-simplify]: Simplify (+ 1 0) into 1
3.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.903 * [taylor]: Taking taylor expansion of 0 in z
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [taylor]: Taking taylor expansion of 0 in z
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [taylor]: Taking taylor expansion of 0 in z
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.903 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.908 * [taylor]: Taking taylor expansion of 0 in y
3.908 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.911 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.911 * [taylor]: Taking taylor expansion of 1/2 in z
3.911 * [backup-simplify]: Simplify 1/2 into 1/2
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.911 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.912 * [taylor]: Taking taylor expansion of z in z
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (* 1 1) into 1
3.912 * [backup-simplify]: Simplify (/ 1 1) into 1
3.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.914 * [backup-simplify]: Simplify 0 into 0
3.915 * [taylor]: Taking taylor expansion of 0 in z
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [taylor]: Taking taylor expansion of 0 in z
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.919 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.919 * [backup-simplify]: Simplify (+ 0 0) into 0
3.920 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [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))))))
3.922 * [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
3.922 * [taylor]: Taking taylor expansion of -1/2 in y
3.922 * [backup-simplify]: Simplify -1/2 into -1/2
3.922 * [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
3.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.922 * [taylor]: Taking taylor expansion of 1/2 in y
3.922 * [backup-simplify]: Simplify 1/2 into 1/2
3.922 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.922 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.922 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.922 * [taylor]: Taking taylor expansion of z in y
3.922 * [backup-simplify]: Simplify z into z
3.922 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.922 * [taylor]: Taking taylor expansion of y in y
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.923 * [backup-simplify]: Simplify (* 1 1) into 1
3.923 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.923 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.923 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.923 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.923 * [taylor]: Taking taylor expansion of 1/4 in y
3.923 * [backup-simplify]: Simplify 1/4 into 1/4
3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.923 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.923 * [taylor]: Taking taylor expansion of y in y
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.923 * [backup-simplify]: Simplify (* 1 1) into 1
3.924 * [backup-simplify]: Simplify (* 1 1) into 1
3.924 * [backup-simplify]: Simplify (/ 1 1) into 1
3.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.924 * [taylor]: Taking taylor expansion of 1/4 in y
3.924 * [backup-simplify]: Simplify 1/4 into 1/4
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.924 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.925 * [taylor]: Taking taylor expansion of z in y
3.925 * [backup-simplify]: Simplify z into z
3.925 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.925 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.925 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.926 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.926 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.934 * [backup-simplify]: Simplify (+ 0 0) into 0
3.934 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.934 * [backup-simplify]: Simplify (+ 0 0) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.935 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.935 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.935 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.936 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.936 * [taylor]: Taking taylor expansion of 0 in z
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [taylor]: Taking taylor expansion of 0 in z
3.936 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.939 * [taylor]: Taking taylor expansion of 0 in z
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [taylor]: Taking taylor expansion of 0 in z
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [taylor]: Taking taylor expansion of 0 in z
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.941 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.941 * [backup-simplify]: Simplify (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))) into (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3))
3.941 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3)) in (x z y) around 0
3.941 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3)) in y
3.941 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))))) in y
3.941 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)))) in y
3.942 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) in y
3.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))))) in y
3.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))))) in y
3.942 * [taylor]: Taking taylor expansion of 1/3 in y
3.942 * [backup-simplify]: Simplify 1/3 into 1/3
3.942 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in y
3.942 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
3.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.942 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.942 * [taylor]: Taking taylor expansion of y in y
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.942 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.942 * [taylor]: Taking taylor expansion of x in y
3.942 * [backup-simplify]: Simplify x into x
3.942 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.942 * [taylor]: Taking taylor expansion of z in y
3.942 * [backup-simplify]: Simplify z into z
3.942 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.942 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.942 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.942 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.942 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.942 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.942 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.943 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.943 * [backup-simplify]: Simplify (log (sqrt (+ (pow x 2) (pow z 2)))) into (log (sqrt (+ (pow x 2) (pow z 2))))
3.943 * [backup-simplify]: Simplify (log (log (sqrt (+ (pow x 2) (pow z 2))))) into (log (log (sqrt (+ (pow x 2) (pow z 2)))))
3.944 * [backup-simplify]: Simplify (* 1/3 (log (log (sqrt (+ (pow x 2) (pow z 2)))))) into (* 1/3 (log (log (sqrt (+ (pow x 2) (pow z 2))))))
3.944 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow z 2))))))) into (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 1/3)
3.944 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))) in y
3.944 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) in y
3.944 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3) in y
3.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)))) in y
3.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2))) in y
3.944 * [taylor]: Taking taylor expansion of 1/3 in y
3.944 * [backup-simplify]: Simplify 1/3 into 1/3
3.944 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)) in y
3.944 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) in y
3.944 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
3.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.944 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.944 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.944 * [taylor]: Taking taylor expansion of y in y
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.944 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.944 * [taylor]: Taking taylor expansion of x in y
3.944 * [backup-simplify]: Simplify x into x
3.944 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.944 * [taylor]: Taking taylor expansion of z in y
3.944 * [backup-simplify]: Simplify z into z
3.944 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.944 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.944 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.945 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.945 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.945 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.945 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.945 * [backup-simplify]: Simplify (+ 0 0) into 0
3.945 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.946 * [backup-simplify]: Simplify (log (sqrt (+ (pow x 2) (pow z 2)))) into (log (sqrt (+ (pow x 2) (pow z 2))))
3.946 * [backup-simplify]: Simplify (* (log (sqrt (+ (pow x 2) (pow z 2)))) (log (sqrt (+ (pow x 2) (pow z 2))))) into (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2)
3.946 * [backup-simplify]: Simplify (log (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2)) into (log (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2))
3.947 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2))) into (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2)))
3.947 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2)))) into (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3)
3.947 * [backup-simplify]: Simplify (exp (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3)) into (exp (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3))
3.947 * [backup-simplify]: Simplify (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3))) into (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3)
3.948 * [backup-simplify]: Simplify (* (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 1/3) (pow (pow (log (sqrt (+ (pow x 2) (pow z 2)))) 2) 1/3)) into (log (sqrt (+ (pow x 2) (pow z 2))))
3.948 * [backup-simplify]: Simplify (exp (log (sqrt (+ (pow x 2) (pow z 2))))) into (sqrt (+ (pow x 2) (pow z 2)))
3.948 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3)) in z
3.948 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))))) in z
3.948 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)))) in z
3.948 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) in z
3.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))))) in z
3.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))))) in z
3.948 * [taylor]: Taking taylor expansion of 1/3 in z
3.948 * [backup-simplify]: Simplify 1/3 into 1/3
3.948 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in z
3.948 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in z
3.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.948 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.948 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.948 * [taylor]: Taking taylor expansion of y in z
3.948 * [backup-simplify]: Simplify y into y
3.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.948 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.948 * [taylor]: Taking taylor expansion of x in z
3.948 * [backup-simplify]: Simplify x into x
3.948 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.948 * [taylor]: Taking taylor expansion of z in z
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.948 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.948 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.949 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.949 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.949 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.950 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow x 2)))) into (log (sqrt (+ (pow y 2) (pow x 2))))
3.950 * [backup-simplify]: Simplify (log (log (sqrt (+ (pow y 2) (pow x 2))))) into (log (log (sqrt (+ (pow y 2) (pow x 2)))))
3.950 * [backup-simplify]: Simplify (* 1/3 (log (log (sqrt (+ (pow y 2) (pow x 2)))))) into (* 1/3 (log (log (sqrt (+ (pow y 2) (pow x 2))))))
3.950 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (pow x 2))))))) into (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 1/3)
3.950 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))) in z
3.950 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) in z
3.950 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3) in z
3.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)))) in z
3.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2))) in z
3.950 * [taylor]: Taking taylor expansion of 1/3 in z
3.950 * [backup-simplify]: Simplify 1/3 into 1/3
3.950 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)) in z
3.950 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) in z
3.951 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in z
3.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.951 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.951 * [taylor]: Taking taylor expansion of y in z
3.951 * [backup-simplify]: Simplify y into y
3.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.951 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.951 * [taylor]: Taking taylor expansion of x in z
3.951 * [backup-simplify]: Simplify x into x
3.951 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.951 * [taylor]: Taking taylor expansion of z in z
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.951 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.951 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.951 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.951 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.951 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.951 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.952 * [backup-simplify]: Simplify (+ 0 0) into 0
3.952 * [backup-simplify]: Simplify (+ 0 0) into 0
3.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.952 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow x 2)))) into (log (sqrt (+ (pow y 2) (pow x 2))))
3.952 * [backup-simplify]: Simplify (* (log (sqrt (+ (pow y 2) (pow x 2)))) (log (sqrt (+ (pow y 2) (pow x 2))))) into (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2)
3.953 * [backup-simplify]: Simplify (log (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2)) into (log (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2))
3.953 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2))) into (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2)))
3.953 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2)))) into (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3)
3.953 * [backup-simplify]: Simplify (exp (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3)) into (exp (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3))
3.954 * [backup-simplify]: Simplify (log (exp (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3))) into (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3)
3.954 * [backup-simplify]: Simplify (* (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 1/3) (pow (pow (log (sqrt (+ (pow y 2) (pow x 2)))) 2) 1/3)) into (log (sqrt (+ (pow y 2) (pow x 2))))
3.954 * [backup-simplify]: Simplify (exp (log (sqrt (+ (pow y 2) (pow x 2))))) into (sqrt (+ (pow y 2) (pow x 2)))
3.954 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3)) in x
3.954 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))))) in x
3.954 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)))) in x
3.954 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) in x
3.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))))) in x
3.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))))) in x
3.955 * [taylor]: Taking taylor expansion of 1/3 in x
3.955 * [backup-simplify]: Simplify 1/3 into 1/3
3.955 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
3.955 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
3.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.955 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.955 * [taylor]: Taking taylor expansion of y in x
3.955 * [backup-simplify]: Simplify y into y
3.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.955 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.955 * [taylor]: Taking taylor expansion of x in x
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.955 * [taylor]: Taking taylor expansion of z in x
3.955 * [backup-simplify]: Simplify z into z
3.955 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.955 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.955 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.956 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.956 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.956 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.956 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.957 * [backup-simplify]: Simplify (+ 0 0) into 0
3.957 * [backup-simplify]: Simplify (+ 0 0) into 0
3.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.958 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow z 2)))) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.958 * [backup-simplify]: Simplify (log (log (sqrt (+ (pow y 2) (pow z 2))))) into (log (log (sqrt (+ (pow y 2) (pow z 2)))))
3.958 * [backup-simplify]: Simplify (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2)))))) into (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))
3.959 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))) into (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3)
3.959 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))) in x
3.959 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) in x
3.959 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3) in x
3.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)))) in x
3.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2))) in x
3.959 * [taylor]: Taking taylor expansion of 1/3 in x
3.959 * [backup-simplify]: Simplify 1/3 into 1/3
3.959 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)) in x
3.959 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) in x
3.959 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
3.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.959 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.959 * [taylor]: Taking taylor expansion of y in x
3.959 * [backup-simplify]: Simplify y into y
3.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.959 * [taylor]: Taking taylor expansion of x in x
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.959 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.959 * [taylor]: Taking taylor expansion of z in x
3.960 * [backup-simplify]: Simplify z into z
3.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.960 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.960 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.960 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.960 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.961 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.962 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow z 2)))) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.963 * [backup-simplify]: Simplify (* (log (sqrt (+ (pow y 2) (pow z 2)))) (log (sqrt (+ (pow y 2) (pow z 2))))) into (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)
3.963 * [backup-simplify]: Simplify (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)) into (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))
3.963 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))) into (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))
3.964 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))) into (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)
3.964 * [backup-simplify]: Simplify (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) into (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3))
3.965 * [backup-simplify]: Simplify (log (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3))) into (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)
3.966 * [backup-simplify]: Simplify (* (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.966 * [backup-simplify]: Simplify (exp (log (sqrt (+ (pow y 2) (pow z 2))))) into (sqrt (+ (pow y 2) (pow z 2)))
3.966 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3)) in x
3.966 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))))) in x
3.966 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)))) in x
3.966 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 1/3) in x
3.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))))) in x
3.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))))) in x
3.966 * [taylor]: Taking taylor expansion of 1/3 in x
3.966 * [backup-simplify]: Simplify 1/3 into 1/3
3.966 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
3.966 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
3.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.967 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.967 * [taylor]: Taking taylor expansion of y in x
3.967 * [backup-simplify]: Simplify y into y
3.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.967 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.967 * [taylor]: Taking taylor expansion of x in x
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.967 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.967 * [taylor]: Taking taylor expansion of z in x
3.967 * [backup-simplify]: Simplify z into z
3.967 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.967 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.967 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.967 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.968 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.968 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.968 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.969 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow z 2)))) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.970 * [backup-simplify]: Simplify (log (log (sqrt (+ (pow y 2) (pow z 2))))) into (log (log (sqrt (+ (pow y 2) (pow z 2)))))
3.970 * [backup-simplify]: Simplify (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2)))))) into (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))
3.970 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))) into (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3)
3.970 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3))) in x
3.971 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3)) in x
3.971 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) 1/3) in x
3.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)))) in x
3.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2))) in x
3.971 * [taylor]: Taking taylor expansion of 1/3 in x
3.971 * [backup-simplify]: Simplify 1/3 into 1/3
3.971 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2)) in x
3.971 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) 2) in x
3.971 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
3.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.971 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.971 * [taylor]: Taking taylor expansion of y in x
3.971 * [backup-simplify]: Simplify y into y
3.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.971 * [taylor]: Taking taylor expansion of x in x
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.971 * [taylor]: Taking taylor expansion of z in x
3.971 * [backup-simplify]: Simplify z into z
3.971 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.971 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.971 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.971 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.971 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.971 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.972 * [backup-simplify]: Simplify (log (sqrt (+ (pow y 2) (pow z 2)))) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.973 * [backup-simplify]: Simplify (* (log (sqrt (+ (pow y 2) (pow z 2)))) (log (sqrt (+ (pow y 2) (pow z 2))))) into (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)
3.973 * [backup-simplify]: Simplify (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)) into (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))
3.973 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))) into (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))
3.973 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))) into (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)
3.974 * [backup-simplify]: Simplify (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) into (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3))
3.974 * [backup-simplify]: Simplify (log (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3))) into (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)
3.974 * [backup-simplify]: Simplify (* (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) into (log (sqrt (+ (pow y 2) (pow z 2))))
3.974 * [backup-simplify]: Simplify (exp (log (sqrt (+ (pow y 2) (pow z 2))))) into (sqrt (+ (pow y 2) (pow z 2)))
3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in z
3.975 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.975 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.975 * [taylor]: Taking taylor expansion of y in z
3.975 * [backup-simplify]: Simplify y into y
3.975 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.975 * [taylor]: Taking taylor expansion of z in z
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.975 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.975 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.975 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.975 * [taylor]: Taking taylor expansion of y in y
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow y 2) (pow z 2))) 1)))) 1) into 0
3.976 * [backup-simplify]: Simplify (+ (* (log (sqrt (+ (pow y 2) (pow z 2)))) 0) (* 0 (log (sqrt (+ (pow y 2) (pow z 2)))))) into 0
3.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1)))) 1) into 0
3.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))) into 0
3.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.979 * [backup-simplify]: Simplify (* (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) (+ (* (/ (pow 0 1) 1)))) into 0
3.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) 1)))) 1) into 0
3.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow y 2) (pow z 2))) 1)))) 1) into 0
3.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1)))) 1) into 0
3.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (sqrt (+ (pow y 2) (pow z 2))))))) into 0
3.982 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.983 * [backup-simplify]: Simplify (+ (* (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3) 0) (* 0 (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3))) into 0
3.983 * [backup-simplify]: Simplify (* (exp (log (sqrt (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.983 * [taylor]: Taking taylor expansion of 0 in z
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [taylor]: Taking taylor expansion of 0 in y
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify 0 into 0
3.984 * [taylor]: Taking taylor expansion of 0 in y
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 1 into 1
3.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.984 * [backup-simplify]: Simplify (* 1 1) into 1
3.984 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.985 * [backup-simplify]: Simplify (+ 1 0) into 1
3.985 * [backup-simplify]: Simplify (+ 0 1) into 1
3.986 * [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)))))
3.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow y 2) (pow z 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) 1)) (pow (sqrt (+ (pow y 2) (pow z 2))) 1)))) 2) into (/ 1/2 (+ (pow y 2) (pow z 2)))
3.988 * [backup-simplify]: Simplify (+ (* (log (sqrt (+ (pow y 2) (pow z 2)))) (/ 1/2 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* (/ 1/2 (+ (pow y 2) (pow z 2))) (log (sqrt (+ (pow y 2) (pow z 2))))))) into (/ (log (sqrt (+ (pow y 2) (pow z 2)))) (+ (pow y 2) (pow z 2)))
3.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (log (sqrt (+ (pow y 2) (pow z 2)))) (+ (pow y 2) (pow z 2)))) 1)) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1)))) 2) into (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))
3.990 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))) (+ (* 0 0) (* 0 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))))) into (* 1/3 (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2)))))))
3.991 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))) 1) 1)))) into (* 1/3 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3)))
3.992 * [backup-simplify]: Simplify (* (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3))) 1) 1)))) into (* 1/3 (* (/ (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3)))
3.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/3 (* (/ (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3)))) 1)) (pow (exp (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)) 1)))) 2) into (* 1/3 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3)))
3.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.995 * [backup-simplify]: Simplify (* 1 1) into 1
3.995 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.996 * [backup-simplify]: Simplify (+ 1 0) into 1
3.997 * [backup-simplify]: Simplify (+ 0 1) into 1
3.998 * [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)))))
4.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow y 2) (pow z 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) 1)) (pow (sqrt (+ (pow y 2) (pow z 2))) 1)))) 2) into (/ 1/2 (+ (pow y 2) (pow z 2)))
4.002 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (+ (pow y 2) (pow z 2)))) 1)) (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1)))) 2) into (/ 1/2 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))
4.003 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))) (+ (* 0 0) (* 0 (log (log (sqrt (+ (pow y 2) (pow z 2)))))))) into (* 1/6 (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2)))))))
4.005 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (sqrt (+ (pow y 2) (pow z 2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (* (+ (pow y 2) (pow z 2)) (log (sqrt (+ (pow y 2) (pow z 2))))))) 1) 1)))) into (* 1/6 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)) 1/3)))
4.007 * [backup-simplify]: Simplify (+ (* (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 1/3) (* 1/3 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (log (sqrt (+ (pow y 2) (pow z 2))))) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (+ (pow y 2) (pow z 2))) (pow (/ 1 (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2)) 1/3))) (pow (pow (log (sqrt (+ (pow y 2) (pow z 2)))) 2) 1/3)))) into (* 1/2 (/ 1 (+ (pow y 2) (pow z 2))))
4.009 * [backup-simplify]: Simplify (* (exp (log (sqrt (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
4.009 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in z
4.009 * [taylor]: Taking taylor expansion of 1/2 in z
4.009 * [backup-simplify]: Simplify 1/2 into 1/2
4.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in z
4.009 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in z
4.009 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
4.009 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.009 * [taylor]: Taking taylor expansion of y in z
4.009 * [backup-simplify]: Simplify y into y
4.009 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.009 * [taylor]: Taking taylor expansion of z in z
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.010 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.010 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
4.010 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.010 * [backup-simplify]: Simplify (+ 0 0) into 0
4.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
4.011 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.011 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.011 * [taylor]: Taking taylor expansion of 1/2 in y
4.011 * [backup-simplify]: Simplify 1/2 into 1/2
4.011 * [taylor]: Taking taylor expansion of y in y
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [taylor]: Taking taylor expansion of 0 in y
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.014 * [backup-simplify]: Simplify (+ 0 1) into 1
4.015 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.015 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.015 * [taylor]: Taking taylor expansion of 1/2 in y
4.015 * [backup-simplify]: Simplify 1/2 into 1/2
4.015 * [taylor]: Taking taylor expansion of y in y
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
4.019 * [backup-simplify]: Simplify (pow (exp (* (cbrt (log (sqrt (+ (pow (/ 1 x) 2) (+ (pow (/ 1 z) 2) (* (/ 1 y) (/ 1 y))))))) (cbrt (log (sqrt (+ (pow (/ 1 x) 2) (+ (pow (/ 1 z) 2) (* (/ 1 y) (/ 1 y))))))))) (cbrt (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (pow (/ 1 y) 2) (* (/ 1 z) (/ 1 z)))))))) into (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3))
4.019 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in (x z y) around 0
4.019 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in y
4.019 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in y
4.019 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in y
4.019 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in y
4.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in y
4.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in y
4.020 * [taylor]: Taking taylor expansion of 1/3 in y
4.020 * [backup-simplify]: Simplify 1/3 into 1/3
4.020 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
4.020 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
4.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.020 * [taylor]: Taking taylor expansion of y in y
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (* 1 1) into 1
4.021 * [backup-simplify]: Simplify (/ 1 1) into 1
4.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.021 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.021 * [taylor]: Taking taylor expansion of x in y
4.021 * [backup-simplify]: Simplify x into x
4.021 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.021 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.021 * [taylor]: Taking taylor expansion of z in y
4.021 * [backup-simplify]: Simplify z into z
4.021 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.021 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.022 * [backup-simplify]: Simplify (+ 1 0) into 1
4.022 * [backup-simplify]: Simplify (sqrt 1) into 1
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.025 * [backup-simplify]: Simplify (log 1) into 0
4.026 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.026 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.026 * [backup-simplify]: Simplify (log (- (log y))) into (log (- (log y)))
4.026 * [backup-simplify]: Simplify (* 1/3 (log (- (log y)))) into (* 1/3 (log (- (log y))))
4.026 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log y))))) into (pow (- (log y)) 1/3)
4.026 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in y
4.027 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in y
4.027 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in y
4.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in y
4.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in y
4.027 * [taylor]: Taking taylor expansion of 1/3 in y
4.027 * [backup-simplify]: Simplify 1/3 into 1/3
4.027 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in y
4.027 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in y
4.027 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
4.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.027 * [taylor]: Taking taylor expansion of y in y
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [backup-simplify]: Simplify (* 1 1) into 1
4.028 * [backup-simplify]: Simplify (/ 1 1) into 1
4.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.028 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.028 * [taylor]: Taking taylor expansion of x in y
4.028 * [backup-simplify]: Simplify x into x
4.028 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.028 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.028 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.028 * [taylor]: Taking taylor expansion of z in y
4.028 * [backup-simplify]: Simplify z into z
4.028 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.029 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.029 * [backup-simplify]: Simplify (+ 1 0) into 1
4.029 * [backup-simplify]: Simplify (sqrt 1) into 1
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify (+ 0 0) into 0
4.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.032 * [backup-simplify]: Simplify (log 1) into 0
4.033 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.033 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.034 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.034 * [backup-simplify]: Simplify (* (- (log y)) (- (log y))) into (pow (log y) 2)
4.034 * [backup-simplify]: Simplify (log (pow (log y) 2)) into (log (pow (log y) 2))
4.034 * [backup-simplify]: Simplify (* 1/3 (log (pow (log y) 2))) into (* 1/3 (log (pow (log y) 2)))
4.034 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log y) 2)))) into (pow (pow (log y) 2) 1/3)
4.035 * [backup-simplify]: Simplify (exp (pow (pow (log y) 2) 1/3)) into (exp (pow (pow (log y) 2) 1/3))
4.035 * [backup-simplify]: Simplify (log (exp (pow (pow (log y) 2) 1/3))) into (pow (pow (log y) 2) 1/3)
4.035 * [backup-simplify]: Simplify (* (pow (- (log y)) 1/3) (pow (pow (log y) 2) 1/3)) into (* (log y) (pow -1 1/3))
4.036 * [backup-simplify]: Simplify (exp (* (log y) (pow -1 1/3))) into (exp (* (log y) (pow -1 1/3)))
4.036 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in z
4.036 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in z
4.036 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in z
4.036 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in z
4.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in z
4.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in z
4.036 * [taylor]: Taking taylor expansion of 1/3 in z
4.036 * [backup-simplify]: Simplify 1/3 into 1/3
4.036 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
4.036 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
4.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.036 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.036 * [taylor]: Taking taylor expansion of y in z
4.036 * [backup-simplify]: Simplify y into y
4.036 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.037 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.037 * [taylor]: Taking taylor expansion of x in z
4.037 * [backup-simplify]: Simplify x into x
4.037 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.037 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.037 * [taylor]: Taking taylor expansion of z in z
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 1 into 1
4.037 * [backup-simplify]: Simplify (* 1 1) into 1
4.038 * [backup-simplify]: Simplify (/ 1 1) into 1
4.038 * [backup-simplify]: Simplify (+ 0 1) into 1
4.039 * [backup-simplify]: Simplify (+ 0 1) into 1
4.039 * [backup-simplify]: Simplify (sqrt 1) into 1
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.042 * [backup-simplify]: Simplify (log 1) into 0
4.043 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.043 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.043 * [backup-simplify]: Simplify (log (- (log z))) into (log (- (log z)))
4.043 * [backup-simplify]: Simplify (* 1/3 (log (- (log z)))) into (* 1/3 (log (- (log z))))
4.043 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log z))))) into (pow (- (log z)) 1/3)
4.043 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in z
4.043 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in z
4.044 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in z
4.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in z
4.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in z
4.044 * [taylor]: Taking taylor expansion of 1/3 in z
4.044 * [backup-simplify]: Simplify 1/3 into 1/3
4.044 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in z
4.044 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in z
4.044 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
4.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.044 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.044 * [taylor]: Taking taylor expansion of y in z
4.044 * [backup-simplify]: Simplify y into y
4.044 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.044 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.044 * [taylor]: Taking taylor expansion of x in z
4.044 * [backup-simplify]: Simplify x into x
4.044 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.045 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.045 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.045 * [taylor]: Taking taylor expansion of z in z
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [backup-simplify]: Simplify (* 1 1) into 1
4.045 * [backup-simplify]: Simplify (/ 1 1) into 1
4.046 * [backup-simplify]: Simplify (+ 0 1) into 1
4.046 * [backup-simplify]: Simplify (+ 0 1) into 1
4.047 * [backup-simplify]: Simplify (sqrt 1) into 1
4.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.050 * [backup-simplify]: Simplify (log 1) into 0
4.051 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.051 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.051 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.052 * [backup-simplify]: Simplify (* (- (log z)) (- (log z))) into (pow (log z) 2)
4.052 * [backup-simplify]: Simplify (log (pow (log z) 2)) into (log (pow (log z) 2))
4.052 * [backup-simplify]: Simplify (* 1/3 (log (pow (log z) 2))) into (* 1/3 (log (pow (log z) 2)))
4.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log z) 2)))) into (pow (pow (log z) 2) 1/3)
4.052 * [backup-simplify]: Simplify (exp (pow (pow (log z) 2) 1/3)) into (exp (pow (pow (log z) 2) 1/3))
4.053 * [backup-simplify]: Simplify (log (exp (pow (pow (log z) 2) 1/3))) into (pow (pow (log z) 2) 1/3)
4.053 * [backup-simplify]: Simplify (* (pow (- (log z)) 1/3) (pow (pow (log z) 2) 1/3)) into (* (log z) (pow -1 1/3))
4.054 * [backup-simplify]: Simplify (exp (* (log z) (pow -1 1/3))) into (exp (* (log z) (pow -1 1/3)))
4.054 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in x
4.054 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in x
4.054 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in x
4.054 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in x
4.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in x
4.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in x
4.054 * [taylor]: Taking taylor expansion of 1/3 in x
4.054 * [backup-simplify]: Simplify 1/3 into 1/3
4.054 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
4.054 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.054 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.054 * [taylor]: Taking taylor expansion of y in x
4.054 * [backup-simplify]: Simplify y into y
4.054 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.055 * [taylor]: Taking taylor expansion of x in x
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify (* 1 1) into 1
4.055 * [backup-simplify]: Simplify (/ 1 1) into 1
4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.056 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.056 * [taylor]: Taking taylor expansion of z in x
4.056 * [backup-simplify]: Simplify z into z
4.056 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.056 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.056 * [backup-simplify]: Simplify (+ 1 0) into 1
4.057 * [backup-simplify]: Simplify (+ 0 1) into 1
4.057 * [backup-simplify]: Simplify (sqrt 1) into 1
4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.060 * [backup-simplify]: Simplify (log 1) into 0
4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.061 * [backup-simplify]: Simplify (log (- (log x))) into (log (- (log x)))
4.062 * [backup-simplify]: Simplify (* 1/3 (log (- (log x)))) into (* 1/3 (log (- (log x))))
4.062 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log x))))) into (pow (- (log x)) 1/3)
4.062 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in x
4.062 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in x
4.062 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in x
4.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in x
4.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in x
4.062 * [taylor]: Taking taylor expansion of 1/3 in x
4.062 * [backup-simplify]: Simplify 1/3 into 1/3
4.062 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in x
4.062 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in x
4.062 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.062 * [taylor]: Taking taylor expansion of y in x
4.062 * [backup-simplify]: Simplify y into y
4.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.063 * [taylor]: Taking taylor expansion of x in x
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify (* 1 1) into 1
4.063 * [backup-simplify]: Simplify (/ 1 1) into 1
4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.063 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.063 * [taylor]: Taking taylor expansion of z in x
4.063 * [backup-simplify]: Simplify z into z
4.064 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.064 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.064 * [backup-simplify]: Simplify (+ 1 0) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.065 * [backup-simplify]: Simplify (sqrt 1) into 1
4.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.067 * [backup-simplify]: Simplify (+ 0 0) into 0
4.067 * [backup-simplify]: Simplify (+ 0 0) into 0
4.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.069 * [backup-simplify]: Simplify (log 1) into 0
4.069 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.069 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.070 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.070 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2)
4.070 * [backup-simplify]: Simplify (log (pow (log x) 2)) into (log (pow (log x) 2))
4.070 * [backup-simplify]: Simplify (* 1/3 (log (pow (log x) 2))) into (* 1/3 (log (pow (log x) 2)))
4.071 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log x) 2)))) into (pow (pow (log x) 2) 1/3)
4.071 * [backup-simplify]: Simplify (exp (pow (pow (log x) 2) 1/3)) into (exp (pow (pow (log x) 2) 1/3))
4.071 * [backup-simplify]: Simplify (log (exp (pow (pow (log x) 2) 1/3))) into (pow (pow (log x) 2) 1/3)
4.071 * [backup-simplify]: Simplify (* (pow (- (log x)) 1/3) (pow (pow (log x) 2) 1/3)) into (* (log x) (pow -1 1/3))
4.072 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.072 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in x
4.072 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in x
4.072 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in x
4.072 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in x
4.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in x
4.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in x
4.072 * [taylor]: Taking taylor expansion of 1/3 in x
4.072 * [backup-simplify]: Simplify 1/3 into 1/3
4.072 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
4.072 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.072 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.072 * [taylor]: Taking taylor expansion of y in x
4.073 * [backup-simplify]: Simplify y into y
4.073 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.073 * [taylor]: Taking taylor expansion of x in x
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (* 1 1) into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.074 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.074 * [taylor]: Taking taylor expansion of z in x
4.074 * [backup-simplify]: Simplify z into z
4.074 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.074 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.075 * [backup-simplify]: Simplify (+ 1 0) into 1
4.075 * [backup-simplify]: Simplify (+ 0 1) into 1
4.075 * [backup-simplify]: Simplify (sqrt 1) into 1
4.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.079 * [backup-simplify]: Simplify (log 1) into 0
4.079 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.080 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.080 * [backup-simplify]: Simplify (log (- (log x))) into (log (- (log x)))
4.080 * [backup-simplify]: Simplify (* 1/3 (log (- (log x)))) into (* 1/3 (log (- (log x))))
4.080 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log x))))) into (pow (- (log x)) 1/3)
4.080 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in x
4.080 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in x
4.080 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in x
4.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in x
4.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in x
4.080 * [taylor]: Taking taylor expansion of 1/3 in x
4.080 * [backup-simplify]: Simplify 1/3 into 1/3
4.080 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in x
4.080 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in x
4.080 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.080 * [taylor]: Taking taylor expansion of y in x
4.080 * [backup-simplify]: Simplify y into y
4.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.081 * [taylor]: Taking taylor expansion of x in x
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [backup-simplify]: Simplify (* 1 1) into 1
4.082 * [backup-simplify]: Simplify (/ 1 1) into 1
4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.082 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.082 * [taylor]: Taking taylor expansion of z in x
4.082 * [backup-simplify]: Simplify z into z
4.082 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.082 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.082 * [backup-simplify]: Simplify (+ 1 0) into 1
4.083 * [backup-simplify]: Simplify (+ 0 1) into 1
4.083 * [backup-simplify]: Simplify (sqrt 1) into 1
4.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.085 * [backup-simplify]: Simplify (+ 0 0) into 0
4.085 * [backup-simplify]: Simplify (+ 0 0) into 0
4.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.086 * [backup-simplify]: Simplify (log 1) into 0
4.087 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.087 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.088 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.088 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2)
4.088 * [backup-simplify]: Simplify (log (pow (log x) 2)) into (log (pow (log x) 2))
4.088 * [backup-simplify]: Simplify (* 1/3 (log (pow (log x) 2))) into (* 1/3 (log (pow (log x) 2)))
4.089 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log x) 2)))) into (pow (pow (log x) 2) 1/3)
4.089 * [backup-simplify]: Simplify (exp (pow (pow (log x) 2) 1/3)) into (exp (pow (pow (log x) 2) 1/3))
4.089 * [backup-simplify]: Simplify (log (exp (pow (pow (log x) 2) 1/3))) into (pow (pow (log x) 2) 1/3)
4.089 * [backup-simplify]: Simplify (* (pow (- (log x)) 1/3) (pow (pow (log x) 2) 1/3)) into (* (log x) (pow -1 1/3))
4.090 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.090 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in z
4.090 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in z
4.090 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in z
4.090 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.090 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.090 * [taylor]: Taking taylor expansion of 1/3 in z
4.090 * [backup-simplify]: Simplify 1/3 into 1/3
4.090 * [taylor]: Taking taylor expansion of (log -1) in z
4.090 * [taylor]: Taking taylor expansion of -1 in z
4.090 * [backup-simplify]: Simplify -1 into -1
4.091 * [backup-simplify]: Simplify (log -1) into (log -1)
4.092 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.093 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.093 * [taylor]: Taking taylor expansion of (log x) in z
4.093 * [taylor]: Taking taylor expansion of x in z
4.093 * [backup-simplify]: Simplify x into x
4.093 * [backup-simplify]: Simplify (log x) into (log x)
4.094 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.094 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.094 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in y
4.094 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in y
4.094 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in y
4.095 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.095 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.095 * [taylor]: Taking taylor expansion of 1/3 in y
4.095 * [backup-simplify]: Simplify 1/3 into 1/3
4.095 * [taylor]: Taking taylor expansion of (log -1) in y
4.095 * [taylor]: Taking taylor expansion of -1 in y
4.095 * [backup-simplify]: Simplify -1 into -1
4.095 * [backup-simplify]: Simplify (log -1) into (log -1)
4.096 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.097 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.097 * [taylor]: Taking taylor expansion of (log x) in y
4.098 * [taylor]: Taking taylor expansion of x in y
4.098 * [backup-simplify]: Simplify x into x
4.098 * [backup-simplify]: Simplify (log x) into (log x)
4.098 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.099 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.099 * [backup-simplify]: Simplify (pow x (pow -1 1/3)) into (pow x (pow -1 1/3))
4.100 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.102 * [backup-simplify]: Simplify (+ (* (- (log x)) 0) (* 0 (- (log x)))) into 0
4.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log x) 2) 1)))) 1) into 0
4.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log x) 2)))) into 0
4.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log x) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.105 * [backup-simplify]: Simplify (* (exp (pow (pow (log x) 2) 1/3)) (+ (* (/ (pow 0 1) 1)))) into 0
4.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (pow (pow (log x) 2) 1/3)) 1)))) 1) into 0
4.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.108 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log x)) 1)))) 1) into 0
4.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (log x))))) into 0
4.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.111 * [backup-simplify]: Simplify (+ (* (pow (- (log x)) 1/3) 0) (* 0 (pow (pow (log x) 2) 1/3))) into 0
4.112 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.112 * [taylor]: Taking taylor expansion of 0 in z
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [taylor]: Taking taylor expansion of 0 in y
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.118 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.119 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.119 * [taylor]: Taking taylor expansion of 0 in y
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.125 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.126 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.126 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
4.129 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
4.131 * [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))))
4.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
4.133 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.135 * [backup-simplify]: Simplify (+ (* (- (log x)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (- (log x))))) into (- (+ (/ (log x) (pow y 2)) (/ (log x) (pow z 2))))
4.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log x) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (log x) (pow y 2)) (/ (log x) (pow z 2))))) 1)) (pow (pow (log x) 2) 1)))) 2) into (* -1/2 (+ (* 2 (/ 1 (* (pow y 2) (log x)))) (* 2 (/ 1 (* (pow z 2) (log x))))))
4.138 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2 (/ 1 (* (pow y 2) (log x)))) (* 2 (/ 1 (* (pow z 2) (log x))))))) (+ (* 0 0) (* 0 (log (pow (log x) 2))))) into (- (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))))
4.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log x) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x)))))) 1) 1)))) into (* -1 (* (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))) (pow (pow (log x) 2) 1/3)))
4.140 * [backup-simplify]: Simplify (* (exp (pow (pow (log x) 2) 1/3)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* -1 (* (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))) (pow (pow (log x) 2) 1/3))) 1) 1)))) into (* -1 (* (+ (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 1/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))) (exp (pow (pow (log x) 2) 1/3))))
4.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (pow (pow (log x) 2) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 1/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))) (exp (pow (pow (log x) 2) 1/3))))) 1)) (pow (exp (pow (pow (log x) 2) 1/3)) 1)))) 2) into (* -1/2 (+ (* 2/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 2/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))))
4.142 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.144 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
4.144 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
4.145 * [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))))
4.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
4.148 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow (- (log x)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow y 2) (log x))) (/ 1 (* (pow z 2) (log x)))))
4.150 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow y 2) (log x))) (/ 1 (* (pow z 2) (log x)))))) (+ (* 0 0) (* 0 (log (- (log x)))))) into (- (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x))))))
4.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x)))))) 1) 1)))) into (* -1 (* (pow (* (log x) -1) 1/3) (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x)))))))
4.152 * [backup-simplify]: Simplify (+ (* (pow (- (log x)) 1/3) (* -1/2 (+ (* 2/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 2/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))))) (+ (* 0 0) (* (* -1 (* (pow (* (log x) -1) 1/3) (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x))))))) (pow (pow (log x) 2) 1/3)))) into (- (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))))
4.154 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))) 1) 1)))) into (* -1 (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))))
4.154 * [taylor]: Taking taylor expansion of (* -1 (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))))) in z
4.154 * [taylor]: Taking taylor expansion of -1 in z
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))) in z
4.154 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in z
4.154 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in z
4.154 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in z
4.154 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.154 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.154 * [taylor]: Taking taylor expansion of 1/3 in z
4.154 * [backup-simplify]: Simplify 1/3 into 1/3
4.154 * [taylor]: Taking taylor expansion of (log -1) in z
4.154 * [taylor]: Taking taylor expansion of -1 in z
4.154 * [backup-simplify]: Simplify -1 into -1
4.155 * [backup-simplify]: Simplify (log -1) into (log -1)
4.155 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.156 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.156 * [taylor]: Taking taylor expansion of (log x) in z
4.156 * [taylor]: Taking taylor expansion of x in z
4.156 * [backup-simplify]: Simplify x into x
4.156 * [backup-simplify]: Simplify (log x) into (log x)
4.157 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.157 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.157 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) in z
4.157 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) in z
4.157 * [taylor]: Taking taylor expansion of 1/2 in z
4.157 * [backup-simplify]: Simplify 1/2 into 1/2
4.157 * [taylor]: Taking taylor expansion of (* (/ 1 (pow z 2)) (pow -1 1/3)) in z
4.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.157 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.157 * [taylor]: Taking taylor expansion of z in z
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify 1 into 1
4.157 * [backup-simplify]: Simplify (* 1 1) into 1
4.158 * [backup-simplify]: Simplify (/ 1 1) into 1
4.158 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.158 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.158 * [taylor]: Taking taylor expansion of 1/3 in z
4.158 * [backup-simplify]: Simplify 1/3 into 1/3
4.158 * [taylor]: Taking taylor expansion of (log -1) in z
4.158 * [taylor]: Taking taylor expansion of -1 in z
4.158 * [backup-simplify]: Simplify -1 into -1
4.158 * [backup-simplify]: Simplify (log -1) into (log -1)
4.159 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.159 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.160 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))) in z
4.160 * [taylor]: Taking taylor expansion of 1/2 in z
4.160 * [backup-simplify]: Simplify 1/2 into 1/2
4.160 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) (pow -1 1/3)) in z
4.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.160 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.160 * [taylor]: Taking taylor expansion of y in z
4.160 * [backup-simplify]: Simplify y into y
4.160 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.160 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.160 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.160 * [taylor]: Taking taylor expansion of 1/3 in z
4.160 * [backup-simplify]: Simplify 1/3 into 1/3
4.160 * [taylor]: Taking taylor expansion of (log -1) in z
4.160 * [taylor]: Taking taylor expansion of -1 in z
4.160 * [backup-simplify]: Simplify -1 into -1
4.160 * [backup-simplify]: Simplify (log -1) into (log -1)
4.161 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.162 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.167 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.170 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0
4.175 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3)
4.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.177 * [backup-simplify]: Simplify (* (/ 1 (pow y 2)) (pow -1 1/3)) into (* (/ 1 (pow y 2)) (pow -1 1/3))
4.177 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))) into (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))
4.178 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) into (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))
4.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.184 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.185 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow -1 1/3))) into 0
4.186 * [backup-simplify]: Simplify (+ 0 0) into 0
4.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.195 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.197 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.198 * [backup-simplify]: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3))
4.200 * [backup-simplify]: Simplify (+ (* 1/2 (pow -1 1/3)) 0) into (* 1/2 (pow -1 1/3))
4.203 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) (+ (* 0 0) (* 0 (* 1/2 (pow -1 1/3))))) into (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))
4.204 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (* 0 (* 1/2 (pow -1 1/3)))) into 0
4.206 * [backup-simplify]: Simplify (* (pow x (pow -1 1/3)) (* 1/2 (pow -1 1/3))) into (* 1/2 (* (pow x (pow -1 1/3)) (pow -1 1/3)))
4.209 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))) (+ (* 0 0) (* 0 (* 1/2 (* (pow x (pow -1 1/3)) (pow -1 1/3)))))) into (- (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3))))
4.209 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))) in y
4.209 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3))) in y
4.209 * [taylor]: Taking taylor expansion of 1/2 in y
4.209 * [backup-simplify]: Simplify 1/2 into 1/2
4.209 * [taylor]: Taking taylor expansion of (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)) in y
4.209 * [taylor]: Taking taylor expansion of (/ (pow x (pow -1 1/3)) (pow y 2)) in y
4.209 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in y
4.209 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in y
4.209 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in y
4.209 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.209 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.209 * [taylor]: Taking taylor expansion of 1/3 in y
4.209 * [backup-simplify]: Simplify 1/3 into 1/3
4.209 * [taylor]: Taking taylor expansion of (log -1) in y
4.209 * [taylor]: Taking taylor expansion of -1 in y
4.209 * [backup-simplify]: Simplify -1 into -1
4.209 * [backup-simplify]: Simplify (log -1) into (log -1)
4.210 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.212 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.212 * [taylor]: Taking taylor expansion of (log x) in y
4.212 * [taylor]: Taking taylor expansion of x in y
4.212 * [backup-simplify]: Simplify x into x
4.212 * [backup-simplify]: Simplify (log x) into (log x)
4.213 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.213 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.213 * [taylor]: Taking taylor expansion of y in y
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify (* 1 1) into 1
4.214 * [backup-simplify]: Simplify (/ (pow x (pow -1 1/3)) 1) into (pow x (pow -1 1/3))
4.214 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.214 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.214 * [taylor]: Taking taylor expansion of 1/3 in y
4.215 * [backup-simplify]: Simplify 1/3 into 1/3
4.215 * [taylor]: Taking taylor expansion of (log -1) in y
4.215 * [taylor]: Taking taylor expansion of -1 in y
4.215 * [backup-simplify]: Simplify -1 into -1
4.215 * [backup-simplify]: Simplify (log -1) into (log -1)
4.216 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.218 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.232 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.233 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow x (pow -1 1/3)) (/ 0 1)))) into 0
4.236 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.247 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow x (pow -1 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.252 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.253 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (* 0 (pow -1 1/3))) into 0
4.254 * [backup-simplify]: Simplify (* (pow x (pow -1 1/3)) (pow -1 1/3)) into (* (pow x (pow -1 1/3)) (pow -1 1/3))
4.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (pow x (pow -1 1/3)) (pow -1 1/3))))) into 0
4.256 * [backup-simplify]: Simplify (- 0) into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [taylor]: Taking taylor expansion of 0 in y
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.265 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.267 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.267 * [taylor]: Taking taylor expansion of 0 in y
4.267 * [backup-simplify]: Simplify 0 into 0
4.267 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify (pow (/ 1 x) (pow -1 1/3)) into (pow (/ 1 x) (pow -1 1/3))
4.270 * [backup-simplify]: Simplify (pow (exp (* (cbrt (log (sqrt (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- z)) 2) (* (/ 1 (- y)) (/ 1 (- y)))))))) (cbrt (log (sqrt (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- z)) 2) (* (/ 1 (- y)) (/ 1 (- y)))))))))) (cbrt (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- z)) (/ 1 (- z))))))))) into (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3))
4.270 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in (x z y) around 0
4.270 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in y
4.270 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in y
4.270 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in y
4.271 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in y
4.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in y
4.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in y
4.271 * [taylor]: Taking taylor expansion of 1/3 in y
4.271 * [backup-simplify]: Simplify 1/3 into 1/3
4.271 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
4.271 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
4.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.271 * [taylor]: Taking taylor expansion of y in y
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.272 * [backup-simplify]: Simplify (/ 1 1) into 1
4.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.272 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.272 * [taylor]: Taking taylor expansion of x in y
4.272 * [backup-simplify]: Simplify x into x
4.272 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.272 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.272 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.272 * [taylor]: Taking taylor expansion of z in y
4.272 * [backup-simplify]: Simplify z into z
4.272 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.272 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.273 * [backup-simplify]: Simplify (+ 1 0) into 1
4.273 * [backup-simplify]: Simplify (sqrt 1) into 1
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.275 * [backup-simplify]: Simplify (+ 0 0) into 0
4.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.276 * [backup-simplify]: Simplify (log 1) into 0
4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.277 * [backup-simplify]: Simplify (log (- (log y))) into (log (- (log y)))
4.277 * [backup-simplify]: Simplify (* 1/3 (log (- (log y)))) into (* 1/3 (log (- (log y))))
4.277 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log y))))) into (pow (- (log y)) 1/3)
4.277 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in y
4.278 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in y
4.278 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in y
4.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in y
4.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in y
4.278 * [taylor]: Taking taylor expansion of 1/3 in y
4.278 * [backup-simplify]: Simplify 1/3 into 1/3
4.278 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in y
4.278 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in y
4.278 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
4.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
4.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.278 * [taylor]: Taking taylor expansion of y in y
4.278 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify 1 into 1
4.278 * [backup-simplify]: Simplify (* 1 1) into 1
4.279 * [backup-simplify]: Simplify (/ 1 1) into 1
4.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.279 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.279 * [taylor]: Taking taylor expansion of x in y
4.279 * [backup-simplify]: Simplify x into x
4.279 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
4.279 * [taylor]: Taking taylor expansion of (pow z 2) in y
4.279 * [taylor]: Taking taylor expansion of z in y
4.279 * [backup-simplify]: Simplify z into z
4.279 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.279 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.280 * [backup-simplify]: Simplify (+ 1 0) into 1
4.280 * [backup-simplify]: Simplify (sqrt 1) into 1
4.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify (+ 0 0) into 0
4.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.285 * [backup-simplify]: Simplify (log 1) into 0
4.286 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.286 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
4.287 * [backup-simplify]: Simplify (* (- (log y)) (- (log y))) into (pow (log y) 2)
4.287 * [backup-simplify]: Simplify (log (pow (log y) 2)) into (log (pow (log y) 2))
4.287 * [backup-simplify]: Simplify (* 1/3 (log (pow (log y) 2))) into (* 1/3 (log (pow (log y) 2)))
4.288 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log y) 2)))) into (pow (pow (log y) 2) 1/3)
4.288 * [backup-simplify]: Simplify (exp (pow (pow (log y) 2) 1/3)) into (exp (pow (pow (log y) 2) 1/3))
4.288 * [backup-simplify]: Simplify (log (exp (pow (pow (log y) 2) 1/3))) into (pow (pow (log y) 2) 1/3)
4.289 * [backup-simplify]: Simplify (* (pow (- (log y)) 1/3) (pow (pow (log y) 2) 1/3)) into (* (log y) (pow -1 1/3))
4.289 * [backup-simplify]: Simplify (exp (* (log y) (pow -1 1/3))) into (exp (* (log y) (pow -1 1/3)))
4.289 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in z
4.289 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in z
4.289 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in z
4.289 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in z
4.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in z
4.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in z
4.289 * [taylor]: Taking taylor expansion of 1/3 in z
4.289 * [backup-simplify]: Simplify 1/3 into 1/3
4.289 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
4.289 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
4.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.290 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.290 * [taylor]: Taking taylor expansion of y in z
4.290 * [backup-simplify]: Simplify y into y
4.290 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.290 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.290 * [taylor]: Taking taylor expansion of x in z
4.290 * [backup-simplify]: Simplify x into x
4.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.290 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.290 * [taylor]: Taking taylor expansion of z in z
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (* 1 1) into 1
4.291 * [backup-simplify]: Simplify (/ 1 1) into 1
4.292 * [backup-simplify]: Simplify (+ 0 1) into 1
4.292 * [backup-simplify]: Simplify (+ 0 1) into 1
4.292 * [backup-simplify]: Simplify (sqrt 1) into 1
4.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.295 * [backup-simplify]: Simplify (+ 0 0) into 0
4.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.296 * [backup-simplify]: Simplify (log 1) into 0
4.296 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.297 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.297 * [backup-simplify]: Simplify (log (- (log z))) into (log (- (log z)))
4.297 * [backup-simplify]: Simplify (* 1/3 (log (- (log z)))) into (* 1/3 (log (- (log z))))
4.297 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log z))))) into (pow (- (log z)) 1/3)
4.297 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in z
4.297 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in z
4.297 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in z
4.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in z
4.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in z
4.297 * [taylor]: Taking taylor expansion of 1/3 in z
4.297 * [backup-simplify]: Simplify 1/3 into 1/3
4.298 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in z
4.298 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in z
4.298 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
4.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
4.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
4.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.298 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.298 * [taylor]: Taking taylor expansion of y in z
4.298 * [backup-simplify]: Simplify y into y
4.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
4.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
4.298 * [taylor]: Taking taylor expansion of (pow x 2) in z
4.298 * [taylor]: Taking taylor expansion of x in z
4.298 * [backup-simplify]: Simplify x into x
4.298 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.298 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.298 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.298 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.298 * [taylor]: Taking taylor expansion of z in z
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify (* 1 1) into 1
4.299 * [backup-simplify]: Simplify (/ 1 1) into 1
4.300 * [backup-simplify]: Simplify (+ 0 1) into 1
4.300 * [backup-simplify]: Simplify (+ 0 1) into 1
4.300 * [backup-simplify]: Simplify (sqrt 1) into 1
4.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.302 * [backup-simplify]: Simplify (+ 0 0) into 0
4.303 * [backup-simplify]: Simplify (+ 0 0) into 0
4.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.304 * [backup-simplify]: Simplify (log 1) into 0
4.304 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.305 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.305 * [backup-simplify]: Simplify (+ (* (- 1) (log z)) 0) into (- (log z))
4.305 * [backup-simplify]: Simplify (* (- (log z)) (- (log z))) into (pow (log z) 2)
4.305 * [backup-simplify]: Simplify (log (pow (log z) 2)) into (log (pow (log z) 2))
4.306 * [backup-simplify]: Simplify (* 1/3 (log (pow (log z) 2))) into (* 1/3 (log (pow (log z) 2)))
4.306 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log z) 2)))) into (pow (pow (log z) 2) 1/3)
4.306 * [backup-simplify]: Simplify (exp (pow (pow (log z) 2) 1/3)) into (exp (pow (pow (log z) 2) 1/3))
4.306 * [backup-simplify]: Simplify (log (exp (pow (pow (log z) 2) 1/3))) into (pow (pow (log z) 2) 1/3)
4.307 * [backup-simplify]: Simplify (* (pow (- (log z)) 1/3) (pow (pow (log z) 2) 1/3)) into (* (log z) (pow -1 1/3))
4.308 * [backup-simplify]: Simplify (exp (* (log z) (pow -1 1/3))) into (exp (* (log z) (pow -1 1/3)))
4.308 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in x
4.308 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in x
4.308 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in x
4.308 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in x
4.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in x
4.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in x
4.308 * [taylor]: Taking taylor expansion of 1/3 in x
4.308 * [backup-simplify]: Simplify 1/3 into 1/3
4.308 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
4.308 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.308 * [taylor]: Taking taylor expansion of y in x
4.308 * [backup-simplify]: Simplify y into y
4.308 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.309 * [taylor]: Taking taylor expansion of x in x
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify (* 1 1) into 1
4.309 * [backup-simplify]: Simplify (/ 1 1) into 1
4.309 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.309 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.309 * [taylor]: Taking taylor expansion of z in x
4.309 * [backup-simplify]: Simplify z into z
4.310 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.310 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.310 * [backup-simplify]: Simplify (+ 1 0) into 1
4.311 * [backup-simplify]: Simplify (+ 0 1) into 1
4.311 * [backup-simplify]: Simplify (sqrt 1) into 1
4.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.313 * [backup-simplify]: Simplify (+ 0 0) into 0
4.313 * [backup-simplify]: Simplify (+ 0 0) into 0
4.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.314 * [backup-simplify]: Simplify (log 1) into 0
4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.315 * [backup-simplify]: Simplify (log (- (log x))) into (log (- (log x)))
4.315 * [backup-simplify]: Simplify (* 1/3 (log (- (log x)))) into (* 1/3 (log (- (log x))))
4.316 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log x))))) into (pow (- (log x)) 1/3)
4.316 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in x
4.316 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in x
4.316 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in x
4.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in x
4.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in x
4.316 * [taylor]: Taking taylor expansion of 1/3 in x
4.316 * [backup-simplify]: Simplify 1/3 into 1/3
4.316 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in x
4.316 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in x
4.316 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.316 * [taylor]: Taking taylor expansion of y in x
4.316 * [backup-simplify]: Simplify y into y
4.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.316 * [taylor]: Taking taylor expansion of x in x
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.317 * [backup-simplify]: Simplify (* 1 1) into 1
4.317 * [backup-simplify]: Simplify (/ 1 1) into 1
4.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.317 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.317 * [taylor]: Taking taylor expansion of z in x
4.317 * [backup-simplify]: Simplify z into z
4.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.318 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.318 * [backup-simplify]: Simplify (+ 1 0) into 1
4.318 * [backup-simplify]: Simplify (+ 0 1) into 1
4.319 * [backup-simplify]: Simplify (sqrt 1) into 1
4.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.320 * [backup-simplify]: Simplify (+ 0 0) into 0
4.320 * [backup-simplify]: Simplify (+ 0 0) into 0
4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.321 * [backup-simplify]: Simplify (log 1) into 0
4.321 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.321 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.322 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.322 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2)
4.322 * [backup-simplify]: Simplify (log (pow (log x) 2)) into (log (pow (log x) 2))
4.322 * [backup-simplify]: Simplify (* 1/3 (log (pow (log x) 2))) into (* 1/3 (log (pow (log x) 2)))
4.322 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log x) 2)))) into (pow (pow (log x) 2) 1/3)
4.322 * [backup-simplify]: Simplify (exp (pow (pow (log x) 2) 1/3)) into (exp (pow (pow (log x) 2) 1/3))
4.322 * [backup-simplify]: Simplify (log (exp (pow (pow (log x) 2) 1/3))) into (pow (pow (log x) 2) 1/3)
4.323 * [backup-simplify]: Simplify (* (pow (- (log x)) 1/3) (pow (pow (log x) 2) 1/3)) into (* (log x) (pow -1 1/3))
4.323 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.323 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3)) in x
4.323 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))))) in x
4.323 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)))) in x
4.323 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 1/3) in x
4.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))))) in x
4.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) in x
4.323 * [taylor]: Taking taylor expansion of 1/3 in x
4.323 * [backup-simplify]: Simplify 1/3 into 1/3
4.323 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
4.323 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.323 * [taylor]: Taking taylor expansion of y in x
4.323 * [backup-simplify]: Simplify y into y
4.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.324 * [taylor]: Taking taylor expansion of x in x
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify (* 1 1) into 1
4.324 * [backup-simplify]: Simplify (/ 1 1) into 1
4.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.324 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.324 * [taylor]: Taking taylor expansion of z in x
4.324 * [backup-simplify]: Simplify z into z
4.324 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.324 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.325 * [backup-simplify]: Simplify (+ 1 0) into 1
4.325 * [backup-simplify]: Simplify (+ 0 1) into 1
4.325 * [backup-simplify]: Simplify (sqrt 1) into 1
4.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.326 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.327 * [backup-simplify]: Simplify (log 1) into 0
4.328 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.328 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.328 * [backup-simplify]: Simplify (log (- (log x))) into (log (- (log x)))
4.328 * [backup-simplify]: Simplify (* 1/3 (log (- (log x)))) into (* 1/3 (log (- (log x))))
4.328 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log x))))) into (pow (- (log x)) 1/3)
4.328 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3))) in x
4.328 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3)) in x
4.328 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) 1/3) in x
4.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)))) in x
4.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2))) in x
4.328 * [taylor]: Taking taylor expansion of 1/3 in x
4.328 * [backup-simplify]: Simplify 1/3 into 1/3
4.328 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2)) in x
4.328 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) 2) in x
4.328 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
4.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
4.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.328 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.328 * [taylor]: Taking taylor expansion of y in x
4.328 * [backup-simplify]: Simplify y into y
4.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
4.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.329 * [taylor]: Taking taylor expansion of x in x
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [backup-simplify]: Simplify (* 1 1) into 1
4.329 * [backup-simplify]: Simplify (/ 1 1) into 1
4.329 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
4.329 * [taylor]: Taking taylor expansion of (pow z 2) in x
4.329 * [taylor]: Taking taylor expansion of z in x
4.329 * [backup-simplify]: Simplify z into z
4.329 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.329 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
4.330 * [backup-simplify]: Simplify (+ 1 0) into 1
4.330 * [backup-simplify]: Simplify (+ 0 1) into 1
4.330 * [backup-simplify]: Simplify (sqrt 1) into 1
4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.331 * [backup-simplify]: Simplify (+ 0 0) into 0
4.331 * [backup-simplify]: Simplify (+ 0 0) into 0
4.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.332 * [backup-simplify]: Simplify (log 1) into 0
4.332 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.333 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.333 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.333 * [backup-simplify]: Simplify (* (- (log x)) (- (log x))) into (pow (log x) 2)
4.333 * [backup-simplify]: Simplify (log (pow (log x) 2)) into (log (pow (log x) 2))
4.333 * [backup-simplify]: Simplify (* 1/3 (log (pow (log x) 2))) into (* 1/3 (log (pow (log x) 2)))
4.333 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log x) 2)))) into (pow (pow (log x) 2) 1/3)
4.333 * [backup-simplify]: Simplify (exp (pow (pow (log x) 2) 1/3)) into (exp (pow (pow (log x) 2) 1/3))
4.334 * [backup-simplify]: Simplify (log (exp (pow (pow (log x) 2) 1/3))) into (pow (pow (log x) 2) 1/3)
4.334 * [backup-simplify]: Simplify (* (pow (- (log x)) 1/3) (pow (pow (log x) 2) 1/3)) into (* (log x) (pow -1 1/3))
4.334 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.334 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in z
4.334 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in z
4.334 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in z
4.334 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.334 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.334 * [taylor]: Taking taylor expansion of 1/3 in z
4.334 * [backup-simplify]: Simplify 1/3 into 1/3
4.334 * [taylor]: Taking taylor expansion of (log -1) in z
4.334 * [taylor]: Taking taylor expansion of -1 in z
4.334 * [backup-simplify]: Simplify -1 into -1
4.335 * [backup-simplify]: Simplify (log -1) into (log -1)
4.335 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.336 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.336 * [taylor]: Taking taylor expansion of (log x) in z
4.336 * [taylor]: Taking taylor expansion of x in z
4.336 * [backup-simplify]: Simplify x into x
4.336 * [backup-simplify]: Simplify (log x) into (log x)
4.337 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.337 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.337 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in y
4.337 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in y
4.337 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in y
4.337 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.337 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.337 * [taylor]: Taking taylor expansion of 1/3 in y
4.337 * [backup-simplify]: Simplify 1/3 into 1/3
4.337 * [taylor]: Taking taylor expansion of (log -1) in y
4.337 * [taylor]: Taking taylor expansion of -1 in y
4.337 * [backup-simplify]: Simplify -1 into -1
4.338 * [backup-simplify]: Simplify (log -1) into (log -1)
4.338 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.339 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.339 * [taylor]: Taking taylor expansion of (log x) in y
4.339 * [taylor]: Taking taylor expansion of x in y
4.339 * [backup-simplify]: Simplify x into x
4.339 * [backup-simplify]: Simplify (log x) into (log x)
4.340 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.340 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.340 * [backup-simplify]: Simplify (pow x (pow -1 1/3)) into (pow x (pow -1 1/3))
4.341 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.342 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.342 * [backup-simplify]: Simplify (+ (* (- (log x)) 0) (* 0 (- (log x)))) into 0
4.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log x) 2) 1)))) 1) into 0
4.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log x) 2)))) into 0
4.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log x) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.344 * [backup-simplify]: Simplify (* (exp (pow (pow (log x) 2) 1/3)) (+ (* (/ (pow 0 1) 1)))) into 0
4.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (pow (pow (log x) 2) 1/3)) 1)))) 1) into 0
4.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.346 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log x)) 1)))) 1) into 0
4.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (log x))))) into 0
4.347 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.347 * [backup-simplify]: Simplify (+ (* (pow (- (log x)) 1/3) 0) (* 0 (pow (pow (log x) 2) 1/3))) into 0
4.348 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.348 * [taylor]: Taking taylor expansion of 0 in z
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [taylor]: Taking taylor expansion of 0 in y
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.351 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.352 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.352 * [taylor]: Taking taylor expansion of 0 in y
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.355 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.356 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.356 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.358 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
4.358 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
4.359 * [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))))
4.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
4.360 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.361 * [backup-simplify]: Simplify (+ (* (- (log x)) (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (- (log x))))) into (- (+ (/ (log x) (pow y 2)) (/ (log x) (pow z 2))))
4.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log x) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (log x) (pow y 2)) (/ (log x) (pow z 2))))) 1)) (pow (pow (log x) 2) 1)))) 2) into (* -1/2 (+ (* 2 (/ 1 (* (pow y 2) (log x)))) (* 2 (/ 1 (* (pow z 2) (log x))))))
4.363 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2 (/ 1 (* (pow y 2) (log x)))) (* 2 (/ 1 (* (pow z 2) (log x))))))) (+ (* 0 0) (* 0 (log (pow (log x) 2))))) into (- (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))))
4.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log x) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x)))))) 1) 1)))) into (* -1 (* (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))) (pow (pow (log x) 2) 1/3)))
4.365 * [backup-simplify]: Simplify (* (exp (pow (pow (log x) 2) 1/3)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* -1 (* (+ (* 1/3 (/ 1 (* (pow y 2) (log x)))) (* 1/3 (/ 1 (* (pow z 2) (log x))))) (pow (pow (log x) 2) 1/3))) 1) 1)))) into (* -1 (* (+ (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 1/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))) (exp (pow (pow (log x) 2) 1/3))))
4.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (pow (pow (log x) 2) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 1/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))) (exp (pow (pow (log x) 2) 1/3))))) 1)) (pow (exp (pow (pow (log x) 2) 1/3)) 1)))) 2) into (* -1/2 (+ (* 2/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 2/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))))
4.367 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.369 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
4.369 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
4.370 * [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))))
4.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
4.371 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x))
4.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 1)) (pow (- (log x)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow y 2) (log x))) (/ 1 (* (pow z 2) (log x)))))
4.373 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow y 2) (log x))) (/ 1 (* (pow z 2) (log x)))))) (+ (* 0 0) (* 0 (log (- (log x)))))) into (- (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x))))))
4.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x)))))) 1) 1)))) into (* -1 (* (pow (* (log x) -1) 1/3) (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x)))))))
4.376 * [backup-simplify]: Simplify (+ (* (pow (- (log x)) 1/3) (* -1/2 (+ (* 2/3 (* (/ 1 (pow z 2)) (pow (/ 1 (log x)) 1/3))) (* 2/3 (* (/ 1 (pow y 2)) (pow (/ 1 (log x)) 1/3)))))) (+ (* 0 0) (* (* -1 (* (pow (* (log x) -1) 1/3) (+ (* 1/6 (/ 1 (* (pow y 2) (log x)))) (* 1/6 (/ 1 (* (pow z 2) (log x))))))) (pow (pow (log x) 2) 1/3)))) into (- (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))))
4.378 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))) 1) 1)))) into (* -1 (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))))
4.378 * [taylor]: Taking taylor expansion of (* -1 (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))))) in z
4.378 * [taylor]: Taking taylor expansion of -1 in z
4.378 * [backup-simplify]: Simplify -1 into -1
4.378 * [taylor]: Taking taylor expansion of (* (pow x (pow -1 1/3)) (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))))) in z
4.378 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in z
4.378 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in z
4.378 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in z
4.378 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.378 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.378 * [taylor]: Taking taylor expansion of 1/3 in z
4.378 * [backup-simplify]: Simplify 1/3 into 1/3
4.378 * [taylor]: Taking taylor expansion of (log -1) in z
4.378 * [taylor]: Taking taylor expansion of -1 in z
4.378 * [backup-simplify]: Simplify -1 into -1
4.378 * [backup-simplify]: Simplify (log -1) into (log -1)
4.379 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.380 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.380 * [taylor]: Taking taylor expansion of (log x) in z
4.380 * [taylor]: Taking taylor expansion of x in z
4.380 * [backup-simplify]: Simplify x into x
4.380 * [backup-simplify]: Simplify (log x) into (log x)
4.380 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.381 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.381 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) in z
4.381 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow z 2)) (pow -1 1/3))) in z
4.381 * [taylor]: Taking taylor expansion of 1/2 in z
4.381 * [backup-simplify]: Simplify 1/2 into 1/2
4.381 * [taylor]: Taking taylor expansion of (* (/ 1 (pow z 2)) (pow -1 1/3)) in z
4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
4.381 * [taylor]: Taking taylor expansion of (pow z 2) in z
4.381 * [taylor]: Taking taylor expansion of z in z
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (* 1 1) into 1
4.381 * [backup-simplify]: Simplify (/ 1 1) into 1
4.381 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.381 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.381 * [taylor]: Taking taylor expansion of 1/3 in z
4.381 * [backup-simplify]: Simplify 1/3 into 1/3
4.381 * [taylor]: Taking taylor expansion of (log -1) in z
4.382 * [taylor]: Taking taylor expansion of -1 in z
4.382 * [backup-simplify]: Simplify -1 into -1
4.382 * [backup-simplify]: Simplify (log -1) into (log -1)
4.382 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.384 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.384 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))) in z
4.384 * [taylor]: Taking taylor expansion of 1/2 in z
4.384 * [backup-simplify]: Simplify 1/2 into 1/2
4.384 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) (pow -1 1/3)) in z
4.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.384 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.384 * [taylor]: Taking taylor expansion of y in z
4.384 * [backup-simplify]: Simplify y into y
4.384 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.384 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.384 * [taylor]: Taking taylor expansion of (pow -1 1/3) in z
4.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in z
4.384 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in z
4.384 * [taylor]: Taking taylor expansion of 1/3 in z
4.384 * [backup-simplify]: Simplify 1/3 into 1/3
4.385 * [taylor]: Taking taylor expansion of (log -1) in z
4.385 * [taylor]: Taking taylor expansion of -1 in z
4.385 * [backup-simplify]: Simplify -1 into -1
4.385 * [backup-simplify]: Simplify (log -1) into (log -1)
4.386 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.387 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0
4.398 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3)
4.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.400 * [backup-simplify]: Simplify (* (/ 1 (pow y 2)) (pow -1 1/3)) into (* (/ 1 (pow y 2)) (pow -1 1/3))
4.400 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3))) into (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))
4.401 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) into (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))
4.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.404 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.404 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow -1 1/3))) into 0
4.405 * [backup-simplify]: Simplify (+ 0 0) into 0
4.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.410 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.411 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.412 * [backup-simplify]: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3))
4.413 * [backup-simplify]: Simplify (+ (* 1/2 (pow -1 1/3)) 0) into (* 1/2 (pow -1 1/3))
4.415 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) (* 1/2 (* (/ 1 (pow y 2)) (pow -1 1/3)))) (+ (* 0 0) (* 0 (* 1/2 (pow -1 1/3))))) into (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))
4.415 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (* 0 (* 1/2 (pow -1 1/3)))) into 0
4.416 * [backup-simplify]: Simplify (* (pow x (pow -1 1/3)) (* 1/2 (pow -1 1/3))) into (* 1/2 (* (pow x (pow -1 1/3)) (pow -1 1/3)))
4.418 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))) (+ (* 0 0) (* 0 (* 1/2 (* (pow x (pow -1 1/3)) (pow -1 1/3)))))) into (- (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3))))
4.418 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)))) in y
4.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3))) in y
4.418 * [taylor]: Taking taylor expansion of 1/2 in y
4.418 * [backup-simplify]: Simplify 1/2 into 1/2
4.418 * [taylor]: Taking taylor expansion of (* (/ (pow x (pow -1 1/3)) (pow y 2)) (pow -1 1/3)) in y
4.418 * [taylor]: Taking taylor expansion of (/ (pow x (pow -1 1/3)) (pow y 2)) in y
4.418 * [taylor]: Taking taylor expansion of (pow x (pow -1 1/3)) in y
4.418 * [taylor]: Taking taylor expansion of (exp (* (pow -1 1/3) (log x))) in y
4.418 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (log x)) in y
4.418 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.418 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.418 * [taylor]: Taking taylor expansion of 1/3 in y
4.418 * [backup-simplify]: Simplify 1/3 into 1/3
4.418 * [taylor]: Taking taylor expansion of (log -1) in y
4.418 * [taylor]: Taking taylor expansion of -1 in y
4.418 * [backup-simplify]: Simplify -1 into -1
4.419 * [backup-simplify]: Simplify (log -1) into (log -1)
4.420 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.421 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.421 * [taylor]: Taking taylor expansion of (log x) in y
4.421 * [taylor]: Taking taylor expansion of x in y
4.421 * [backup-simplify]: Simplify x into x
4.421 * [backup-simplify]: Simplify (log x) into (log x)
4.422 * [backup-simplify]: Simplify (* (pow -1 1/3) (log x)) into (* (log x) (pow -1 1/3))
4.422 * [backup-simplify]: Simplify (exp (* (log x) (pow -1 1/3))) into (pow x (pow -1 1/3))
4.422 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.422 * [taylor]: Taking taylor expansion of y in y
4.422 * [backup-simplify]: Simplify 0 into 0
4.423 * [backup-simplify]: Simplify 1 into 1
4.423 * [backup-simplify]: Simplify (* 1 1) into 1
4.423 * [backup-simplify]: Simplify (/ (pow x (pow -1 1/3)) 1) into (pow x (pow -1 1/3))
4.423 * [taylor]: Taking taylor expansion of (pow -1 1/3) in y
4.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in y
4.424 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in y
4.424 * [taylor]: Taking taylor expansion of 1/3 in y
4.424 * [backup-simplify]: Simplify 1/3 into 1/3
4.424 * [taylor]: Taking taylor expansion of (log -1) in y
4.424 * [taylor]: Taking taylor expansion of -1 in y
4.424 * [backup-simplify]: Simplify -1 into -1
4.424 * [backup-simplify]: Simplify (log -1) into (log -1)
4.425 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
4.427 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
4.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
4.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
4.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.440 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (log x))) into 0
4.441 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 1) 1)))) into 0
4.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow x (pow -1 1/3)) (/ 0 1)))) into 0
4.443 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
4.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.446 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.448 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.449 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow x (pow -1 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.452 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
4.453 * [backup-simplify]: Simplify (+ (* (pow x (pow -1 1/3)) 0) (* 0 (pow -1 1/3))) into 0
4.453 * [backup-simplify]: Simplify (* (pow x (pow -1 1/3)) (pow -1 1/3)) into (* (pow x (pow -1 1/3)) (pow -1 1/3))
4.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (pow x (pow -1 1/3)) (pow -1 1/3))))) into 0
4.455 * [backup-simplify]: Simplify (- 0) into 0
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [taylor]: Taking taylor expansion of 0 in y
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
4.459 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.460 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.461 * [backup-simplify]: Simplify (* (exp (* (log x) (pow -1 1/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.461 * [taylor]: Taking taylor expansion of 0 in y
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify (pow (/ 1 (- x)) (pow -1 1/3)) into (pow (/ -1 x) (pow -1 1/3))
4.461 * * * [progress]: simplifying candidates
4.463 * [simplify]: Simplifying:
  (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (exp (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (* (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))) (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))
  (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (* (* (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))) (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (* (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))) (cbrt (+ (pow x 2) (+ (pow z 2) (* y y))))))
  (sqrt (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (+ (pow (pow x 2) 3) (pow (+ (pow z 2) (* y y)) 3)))
  (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y))) (* (pow x 2) (+ (pow z 2) (* y y))))))
  (sqrt (- (* (pow x 2) (pow x 2)) (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y)))))
  (sqrt (- (pow x 2) (+ (pow z 2) (* y y))))
  (/ 1 2)
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (exp (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (* (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))) (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))
  (cbrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (* (* (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))) (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))) (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (* (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))) (cbrt (+ (pow x 2) (+ (pow z 2) (* y y))))))
  (sqrt (cbrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))
  (sqrt (+ (pow (pow x 2) 3) (pow (+ (pow z 2) (* y y)) 3)))
  (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y))) (* (pow x 2) (+ (pow z 2) (* y y))))))
  (sqrt (- (* (pow x 2) (pow x 2)) (* (+ (pow z 2) (* y y)) (+ (pow z 2) (* y y)))))
  (sqrt (- (pow x 2) (+ (pow z 2) (* y y))))
  (/ 1 2)
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (sqrt (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))
  (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (* (sqrt (+ (* x x) (+ (pow y 2) (* z z)))) (sqrt (+ (* x x) (+ (pow y 2) (* z z))))) (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (* (cbrt (+ (* x x) (+ (pow y 2) (* z z)))) (cbrt (+ (* x x) (+ (pow y 2) (* z z))))))
  (sqrt (cbrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt 1)
  (sqrt (+ (* x x) (+ (pow y 2) (* z z))))
  (sqrt (+ (pow (* x x) 3) (pow (+ (pow y 2) (* z z)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z))) (* (* x x) (+ (pow y 2) (* z z))))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (pow y 2) (* z z)) (+ (pow y 2) (* z z)))))
  (sqrt (- (* x x) (+ (pow y 2) (* z z))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))
  (* (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (log (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* 1 (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt 1/2))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt 1))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (/ 1 2)))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (* (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (sqrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt 1))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (* (cbrt (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))) (cbrt (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (sqrt (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) 1)
  (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow (cbrt (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow (sqrt (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow (sqrt (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow 1 (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))
  (log (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (exp (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))))
  (cbrt (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (* (* (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))))) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (sqrt (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (sqrt (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (/ (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) 2))
  (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (/ (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z)))))) 2))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
  y
  (pow (/ 1 x) (pow -1 1/3))
  (pow (/ -1 x) (pow -1 1/3))
4.464 * * [simplify]: iteration 0: 123 enodes
4.502 * * [simplify]: iteration 1: 317 enodes
4.646 * * [simplify]: iteration 2: 1339 enodes
5.050 * * [simplify]: iteration complete: 5000 enodes
5.051 * * [simplify]: Extracting #0: cost 40 inf + 0
5.052 * * [simplify]: Extracting #1: cost 358 inf + 7
5.055 * * [simplify]: Extracting #2: cost 709 inf + 232
5.063 * * [simplify]: Extracting #3: cost 1835 inf + 1072
5.076 * * [simplify]: Extracting #4: cost 988 inf + 12063
5.083 * * [simplify]: Extracting #5: cost 303 inf + 23643
5.095 * * [simplify]: Extracting #6: cost 85 inf + 31159
5.106 * * [simplify]: Extracting #7: cost 9 inf + 33893
5.113 * * [simplify]: Extracting #8: cost 0 inf + 34027
5.119 * [simplify]: Simplified to:
  (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (exp (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (* (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))) (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))
  (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (pow (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))) 3)
  (fabs (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  1
  (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))
  1
  (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))
  (sqrt (+ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (- (pow z 2) (* x x))))))
  (sqrt (- (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (pow z 2)))))
  (sqrt (- (- (* x x) (pow z 2)) (pow y 2)))
  1/2
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (exp (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (* (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))) (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))
  (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (pow (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))) 3)
  (fabs (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  1
  (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))
  1
  (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))
  (sqrt (+ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (- (pow z 2) (* x x))))))
  (sqrt (- (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (pow z 2)))))
  (sqrt (- (- (* x x) (pow z 2)) (pow y 2)))
  1/2
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (exp (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (* (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))) (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))
  (cbrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (pow (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))) 3)
  (fabs (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (cbrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  1
  (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))
  (sqrt (+ (pow (+ (pow y 2) (pow z 2)) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (- (pow z 2) (* x x))))))
  (sqrt (- (pow x 4) (* (+ (pow y 2) (pow z 2)) (+ (pow y 2) (pow z 2)))))
  (sqrt (- (- (* x x) (pow z 2)) (pow y 2)))
  1/2
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (sqrt (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))
  (pow (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) 3)
  (pow (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) 3)
  (* (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))
  (* (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt 1/2))
  (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt 1/2))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (* (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (sqrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (* (cbrt (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (sqrt (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (* (cbrt (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))) (cbrt (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (cbrt (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (sqrt (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (sqrt (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  1
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))
  (pow (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) 3)
  (exp (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (* (cbrt (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))) (cbrt (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))))))
  (cbrt (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (pow (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) 3)
  (sqrt (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (sqrt (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (/ (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) 2))
  (pow (pow (exp (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2))))))) (/ (cbrt (log (sqrt (+ (pow y 2) (+ (* x x) (pow z 2)))))) 2))
  y
  x
  (- x)
  y
  x
  (- x)
  z
  x
  (- x)
  y
  (pow (/ 1 x) (cbrt -1))
  (pow (/ -1 x) (cbrt -1))
5.120 * * * [progress]: adding candidates to table
6.036 * * [progress]: iteration 4 / 4
6.036 * * * [progress]: picking best candidate
6.075 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
6.075 * * * [progress]: localizing error
6.079 * * * [progress]: generating rewritten candidates
6.079 * * * [progress]: generating series expansions
6.079 * * * [progress]: simplifying candidates
6.079 * [simplify]: Simplifying:
  
6.079 * * [simplify]: iteration 0: 0 enodes
6.079 * * [simplify]: iteration complete: 0 enodes
6.079 * * [simplify]: Extracting #0: cost 0 inf + 0
6.079 * [simplify]: Simplified to:
  
6.079 * * * [progress]: adding candidates to table
6.080 * [progress]: [Phase 3 of 3] Extracting.
6.080 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.085 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
6.085 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.220 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
6.324 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.406 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.463 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.541 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) y)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.617 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.749 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.805 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.908 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
6.992 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
7.132 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
7.222 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
7.322 * * * [regime]: Found split indices: #<option (#s(si 0 51) #s(si 6 208) #s(si 3 255))>
7.323 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
7.425 * [regimes]: Found splitpoints: (#s(sp 0 x -2.4192015588722967e+83) #s(sp 6 x 1.494620074518022e+83) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) (exp (log x)))> #<alt (λ (x y z) (exp (log (- x))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (pow (/ 1 x) (cbrt -1)))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (pow (exp (* (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))) (cbrt (log (sqrt (+ (pow x 2) (+ (pow z 2) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (+ (pow y 2) (* z z))))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (exp (log z)))>)
7.426 * [simplify]: Simplifying:
  (if (<= x -2.4192015588722967e+83) (- x) (if (<= x 1.494620074518022e+83) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
7.426 * * [simplify]: iteration 0: 16 enodes
7.426 * * [simplify]: iteration 1: 18 enodes
7.427 * * [simplify]: iteration complete: 18 enodes
7.427 * * [simplify]: Extracting #0: cost 1 inf + 0
7.427 * * [simplify]: Extracting #1: cost 4 inf + 0
7.427 * * [simplify]: Extracting #2: cost 8 inf + 0
7.427 * * [simplify]: Extracting #3: cost 8 inf + 2
7.427 * * [simplify]: Extracting #4: cost 6 inf + 11
7.427 * * [simplify]: Extracting #5: cost 9 inf + 11
7.427 * * [simplify]: Extracting #6: cost 7 inf + 18
7.427 * * [simplify]: Extracting #7: cost 6 inf + 19
7.427 * * [simplify]: Extracting #8: cost 4 inf + 29
7.427 * * [simplify]: Extracting #9: cost 2 inf + 52
7.427 * * [simplify]: Extracting #10: cost 0 inf + 92
7.427 * [simplify]: Simplified to:
  (if (<= x -2.4192015588722967e+83) (- x) (if (<= x 1.494620074518022e+83) (sqrt (+ (* z z) (+ (* y y) (* x x)))) x))
9.852 * [regime-testing]: Baseline error score: 37.36554807559062
9.855 * [regime-testing]: Oracle error score: 12.630077185423467
9.859 * [regime-testing]: End program error score: 25.691735872035572
9.971 * [regime-testing]: Target error score: 25.179204209078556