10.885 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.024 * [simplify]: Sending expressions to egg_math:
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
0.028 * * [progress]: iteration 1 / 4
0.028 * * * [progress]: picking best candidate
0.030 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.030 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.081 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.161 * * * [progress]: generating series expansions
0.161 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.162 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))
0.162 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.162 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.162 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.162 * [taylor]: Taking taylor expansion of x in z
0.162 * [backup-simplify]: Simplify x into x
0.162 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.162 * [taylor]: Taking taylor expansion of y in z
0.162 * [backup-simplify]: Simplify y into y
0.162 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.162 * [taylor]: Taking taylor expansion of z in z
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.162 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.162 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.162 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.163 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.164 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.164 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.164 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.164 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.165 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.165 * [taylor]: Taking taylor expansion of x in y
0.165 * [backup-simplify]: Simplify x into x
0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.165 * [taylor]: Taking taylor expansion of y in y
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.165 * [taylor]: Taking taylor expansion of z in y
0.165 * [backup-simplify]: Simplify z into z
0.165 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.165 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.165 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.165 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.165 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.165 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.165 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.166 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.166 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.166 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.166 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.167 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.167 * [taylor]: Taking taylor expansion of y in x
0.167 * [backup-simplify]: Simplify y into y
0.167 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.167 * [taylor]: Taking taylor expansion of z in x
0.167 * [backup-simplify]: Simplify z into z
0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.167 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.168 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.168 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.168 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) 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 z 2))))) into 0
0.168 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.169 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.169 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.169 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.169 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.169 * [taylor]: Taking taylor expansion of y in x
0.169 * [backup-simplify]: Simplify y into y
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 (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.170 * [backup-simplify]: Simplify (+ 0 (+ (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)))
0.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.170 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.170 * [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 0.3333333333333333) in x
0.171 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.171 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.171 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.172 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.172 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.172 * [taylor]: Taking taylor expansion of y in y
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 y
0.172 * [taylor]: Taking taylor expansion of z in y
0.172 * [backup-simplify]: Simplify z into z
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 (sqrt (pow z 2)) into z
0.173 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.173 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.173 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.173 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.173 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.174 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.174 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
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 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.174 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.174 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.174 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.175 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [taylor]: Taking taylor expansion of 0 in z
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in z
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.178 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.179 * [backup-simplify]: Simplify (* 1 1) into 1
0.182 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.182 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (+ 1 0) into 1
0.183 * [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)))))
0.184 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
0.184 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.184 * [taylor]: Taking taylor expansion of 1/2 in y
0.184 * [backup-simplify]: Simplify 1/2 into 1/2
0.184 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.185 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.185 * [taylor]: Taking taylor expansion of y in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.185 * [taylor]: Taking taylor expansion of z in y
0.185 * [backup-simplify]: Simplify z into z
0.185 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.185 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.185 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.185 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.186 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.186 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.186 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.186 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.187 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.187 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.187 * [taylor]: Taking taylor expansion of 1/2 in z
0.187 * [backup-simplify]: Simplify 1/2 into 1/2
0.187 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.187 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.187 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in z
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.192 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.192 * [taylor]: Taking taylor expansion of 1/2 in z
0.192 * [backup-simplify]: Simplify 1/2 into 1/2
0.192 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.192 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.192 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.192 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.193 * [taylor]: Taking taylor expansion of z in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.197 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
0.197 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.197 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.197 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.197 * [taylor]: Taking taylor expansion of x in z
0.197 * [backup-simplify]: Simplify x into x
0.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.197 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.197 * [taylor]: Taking taylor expansion of z in z
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.198 * [taylor]: Taking taylor expansion of y in z
0.198 * [backup-simplify]: Simplify y into y
0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.198 * [backup-simplify]: Simplify (+ 1 0) into 1
0.198 * [backup-simplify]: Simplify (+ 0 1) into 1
0.199 * [backup-simplify]: Simplify (sqrt 1) into 1
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.200 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.200 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.200 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.200 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.201 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.201 * [taylor]: Taking taylor expansion of x in y
0.201 * [backup-simplify]: Simplify x into x
0.201 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.202 * [taylor]: Taking taylor expansion of y in y
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [backup-simplify]: Simplify (+ 0 1) into 1
0.202 * [backup-simplify]: Simplify (+ 0 1) into 1
0.203 * [backup-simplify]: Simplify (sqrt 1) into 1
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.204 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.205 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.205 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.206 * [taylor]: Taking taylor expansion of z in x
0.206 * [backup-simplify]: Simplify z into z
0.206 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.207 * [backup-simplify]: Simplify (sqrt 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.208 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.208 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.208 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.208 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.209 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.209 * [taylor]: Taking taylor expansion of x in x
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.210 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.210 * [taylor]: Taking taylor expansion of z in x
0.210 * [backup-simplify]: Simplify z into z
0.210 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.210 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.210 * [taylor]: Taking taylor expansion of y in x
0.210 * [backup-simplify]: Simplify y into y
0.210 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.210 * [backup-simplify]: Simplify (+ 1 0) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.212 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.212 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.212 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.213 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.213 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.213 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.214 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.215 * [taylor]: Taking taylor expansion of 0 in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.215 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.215 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.215 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.216 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.218 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.219 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.220 * [taylor]: Taking taylor expansion of 1/2 in y
0.220 * [backup-simplify]: Simplify 1/2 into 1/2
0.220 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.220 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.220 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.220 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.220 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.220 * [taylor]: Taking taylor expansion of z in y
0.220 * [backup-simplify]: Simplify z into z
0.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.221 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (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 (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.221 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.221 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.221 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.221 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.222 * [taylor]: Taking taylor expansion of (pow y 2) 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
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [taylor]: Taking taylor expansion of 0 in z
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [taylor]: Taking taylor expansion of 0 in z
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [taylor]: Taking taylor expansion of 0 in z
0.224 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in y
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.232 * [taylor]: Taking taylor expansion of 1/2 in z
0.232 * [backup-simplify]: Simplify 1/2 into 1/2
0.232 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.232 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.232 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.232 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.233 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.233 * [taylor]: Taking taylor expansion of z in z
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [taylor]: Taking taylor expansion of 0 in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.236 * [taylor]: Taking taylor expansion of 0 in z
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.239 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
0.243 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
0.243 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
0.243 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.243 * [taylor]: Taking taylor expansion of 1/8 in y
0.243 * [backup-simplify]: Simplify 1/8 into 1/8
0.243 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.243 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.243 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.243 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.244 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.244 * [taylor]: Taking taylor expansion of z in y
0.244 * [backup-simplify]: Simplify z into z
0.244 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.244 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.244 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.244 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
0.244 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.244 * [taylor]: Taking taylor expansion of 1/4 in y
0.244 * [backup-simplify]: Simplify 1/4 into 1/4
0.244 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.244 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.244 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.245 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.245 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.245 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.245 * [taylor]: Taking taylor expansion of z in y
0.245 * [backup-simplify]: Simplify z into z
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.245 * [taylor]: Taking taylor expansion of y in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.246 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.246 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.246 * [taylor]: Taking taylor expansion of 1/8 in y
0.246 * [backup-simplify]: Simplify 1/8 into 1/8
0.246 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.246 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.246 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.246 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.247 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.247 * [taylor]: Taking taylor expansion of y in y
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* 1 1) into 1
0.247 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.249 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (- 0) into 0
0.257 * [taylor]: Taking taylor expansion of 0 in z
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [taylor]: Taking taylor expansion of 0 in z
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.258 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in z
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of 0 in z
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in z
0.262 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
0.266 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
0.266 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.266 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.266 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.266 * [taylor]: Taking taylor expansion of x in z
0.266 * [backup-simplify]: Simplify x into x
0.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.266 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.266 * [taylor]: Taking taylor expansion of z in z
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [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 y 2)) in z
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.267 * [taylor]: Taking taylor expansion of y in z
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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.267 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.273 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.273 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.274 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.274 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.274 * [taylor]: Taking taylor expansion of x in y
0.274 * [backup-simplify]: Simplify x into x
0.274 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.274 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.274 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.274 * [taylor]: Taking taylor expansion of z in y
0.274 * [backup-simplify]: Simplify z into z
0.274 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.275 * [taylor]: Taking taylor expansion of y in y
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1
0.276 * [backup-simplify]: Simplify (+ 0 1) into 1
0.276 * [backup-simplify]: Simplify (sqrt 1) into 1
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.278 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.278 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.278 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.279 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.279 * [taylor]: Taking taylor expansion of z in x
0.279 * [backup-simplify]: Simplify z into z
0.279 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.282 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.282 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.282 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.282 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.282 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.283 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.283 * [taylor]: Taking taylor expansion of z in x
0.283 * [backup-simplify]: Simplify z into z
0.283 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.283 * [taylor]: Taking taylor expansion of y in x
0.283 * [backup-simplify]: Simplify y into y
0.283 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.284 * [backup-simplify]: Simplify (+ 1 0) into 1
0.284 * [backup-simplify]: Simplify (sqrt 1) into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.285 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.285 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.286 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.287 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.287 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.287 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.287 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.287 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.288 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.288 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.291 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.292 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.293 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.293 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.293 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.294 * [taylor]: Taking taylor expansion of z in y
0.294 * [backup-simplify]: Simplify z into z
0.294 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.294 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [backup-simplify]: Simplify 1/2 into 1/2
0.294 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.294 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.294 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.294 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.295 * [taylor]: Taking taylor expansion of y in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in z
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.300 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in y
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.305 * [taylor]: Taking taylor expansion of 1/2 in z
0.305 * [backup-simplify]: Simplify 1/2 into 1/2
0.305 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.305 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.305 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.305 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.306 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.306 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.306 * [taylor]: Taking taylor expansion of z in z
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in z
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in z
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.312 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
0.316 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
0.316 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
0.316 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.316 * [taylor]: Taking taylor expansion of 1/8 in y
0.316 * [backup-simplify]: Simplify 1/8 into 1/8
0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.316 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.316 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.317 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.317 * [taylor]: Taking taylor expansion of z in y
0.317 * [backup-simplify]: Simplify z into z
0.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.317 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.317 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
0.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.318 * [taylor]: Taking taylor expansion of 1/4 in y
0.318 * [backup-simplify]: Simplify 1/4 into 1/4
0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.318 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.318 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.318 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.318 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.318 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.318 * [taylor]: Taking taylor expansion of z in y
0.318 * [backup-simplify]: Simplify z into z
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
0.319 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.319 * [backup-simplify]: Simplify (* 1 1) into 1
0.319 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.319 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.319 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.319 * [taylor]: Taking taylor expansion of 1/8 in y
0.319 * [backup-simplify]: Simplify 1/8 into 1/8
0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.319 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.319 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.320 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.320 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.320 * [taylor]: Taking taylor expansion of y in y
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.322 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in z
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [taylor]: Taking taylor expansion of 0 in z
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [taylor]: Taking taylor expansion of 0 in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 0 in z
0.335 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in z
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
0.339 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.339 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.339 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.339 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.339 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.339 * [taylor]: Taking taylor expansion of x in z
0.339 * [backup-simplify]: Simplify x into x
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.339 * [taylor]: Taking taylor expansion of y in z
0.339 * [backup-simplify]: Simplify y into y
0.339 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.339 * [taylor]: Taking taylor expansion of z in z
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.339 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.339 * [taylor]: Taking taylor expansion of x in y
0.339 * [backup-simplify]: Simplify x into x
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.339 * [taylor]: Taking taylor expansion of z in y
0.339 * [backup-simplify]: Simplify z into z
0.339 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.339 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.340 * [taylor]: Taking taylor expansion of y in x
0.340 * [backup-simplify]: Simplify y into y
0.340 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.340 * [taylor]: Taking taylor expansion of z in x
0.340 * [backup-simplify]: Simplify z into z
0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.340 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.340 * [taylor]: Taking taylor expansion of x in x
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.340 * [taylor]: Taking taylor expansion of y in x
0.340 * [backup-simplify]: Simplify y into y
0.340 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.340 * [taylor]: Taking taylor expansion of z in x
0.340 * [backup-simplify]: Simplify z into z
0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.340 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.340 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.340 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.340 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.341 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.341 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.341 * [taylor]: Taking taylor expansion of y in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.341 * [taylor]: Taking taylor expansion of z in y
0.341 * [backup-simplify]: Simplify z into z
0.341 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.341 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.341 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.341 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.341 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.341 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.341 * [taylor]: Taking taylor expansion of z in z
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.341 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [taylor]: Taking taylor expansion of 0 in z
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in z
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.344 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (+ 1 0) into 1
0.345 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
0.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.346 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.346 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.346 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.347 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.348 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
0.348 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.348 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.348 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.348 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.348 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.348 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.348 * [taylor]: Taking taylor expansion of x in z
0.348 * [backup-simplify]: Simplify x into x
0.348 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.348 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.348 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.348 * [taylor]: Taking taylor expansion of z in z
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.349 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.349 * [taylor]: Taking taylor expansion of y in z
0.349 * [backup-simplify]: Simplify y into y
0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.349 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.349 * [taylor]: Taking taylor expansion of x in y
0.349 * [backup-simplify]: Simplify x into x
0.349 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.349 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.349 * [taylor]: Taking taylor expansion of z in y
0.349 * [backup-simplify]: Simplify z into z
0.349 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.350 * [taylor]: Taking taylor expansion of y in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.350 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.350 * [taylor]: Taking taylor expansion of x in x
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.351 * [taylor]: Taking taylor expansion of z in x
0.351 * [backup-simplify]: Simplify z into z
0.351 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.351 * [taylor]: Taking taylor expansion of y in x
0.351 * [backup-simplify]: Simplify y into y
0.351 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.351 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.351 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [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 z 2)) (/ 1 (pow y 2))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.352 * [taylor]: Taking taylor expansion of z in x
0.352 * [backup-simplify]: Simplify z into z
0.352 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.352 * [taylor]: Taking taylor expansion of y in x
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))
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.353 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.356 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.356 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2))))
0.356 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y
0.356 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.356 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.357 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.357 * [taylor]: Taking taylor expansion of z in y
0.357 * [backup-simplify]: Simplify z into z
0.357 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.357 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.357 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.357 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.357 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.357 * [taylor]: Taking taylor expansion of y in y
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.358 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
0.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in y
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.368 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.372 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.372 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.372 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.372 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
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
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
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 0.3333333333333333 into 0.3333333333333333
0.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.374 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
0.374 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.374 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.374 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.374 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.374 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.374 * [taylor]: Taking taylor expansion of x in z
0.374 * [backup-simplify]: Simplify x into x
0.374 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.375 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.375 * [taylor]: Taking taylor expansion of z in z
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
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))
0.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.375 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.375 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.376 * [taylor]: Taking taylor expansion of x in y
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)) (/ 1 (pow y 2))) in y
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.376 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.376 * [taylor]: Taking taylor expansion of z in y
0.376 * [backup-simplify]: Simplify z into z
0.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.376 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.376 * [taylor]: Taking taylor expansion of y in y
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
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.376 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.377 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.377 * [taylor]: Taking taylor expansion of x in x
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
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.377 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.377 * [taylor]: Taking taylor expansion of z in x
0.377 * [backup-simplify]: Simplify z into z
0.377 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.377 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.378 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.378 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.378 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [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 z 2)) (/ 1 (pow y 2))) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.378 * [taylor]: Taking taylor expansion of z in x
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))
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.379 * [taylor]: Taking taylor expansion of y in x
0.379 * [backup-simplify]: Simplify y into y
0.379 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.379 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.379 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.379 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.382 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.383 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2))))
0.383 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y
0.383 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.383 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.383 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.383 * [taylor]: Taking taylor expansion of z in y
0.383 * [backup-simplify]: Simplify z into z
0.383 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.383 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.383 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.383 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.383 * [taylor]: Taking taylor expansion of y in y
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.384 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.384 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
0.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.387 * [taylor]: Taking taylor expansion of 0 in y
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [taylor]: Taking taylor expansion of 0 in z
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) 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 (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.395 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.395 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.395 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.395 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.395 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.395 * [taylor]: Taking taylor expansion of z in z
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.395 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.396 * [taylor]: Taking taylor expansion of 0 in z
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [taylor]: Taking taylor expansion of 0 in z
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.396 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
0.396 * * * [progress]: simplifying candidates
0.398 * [simplify]: Simplifying:
  (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt 1)
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0))
  (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0))
  (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (- (+ (+ (* x x) (* y y)) (* z z)))
  (- 3.0)
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ 1 1)
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 1)
  (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (* 3.0 (- (+ (* x x) (* y y)) (* z z)))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
0.398 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (exp (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (* (cbrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))) (cbrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))))
 (cbrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (* (* (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)) (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))) (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (sqrt (* (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)) (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))))
 (sqrt (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (sqrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (sqrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (sqrt (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt h0)))
 (sqrt (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (sqrt (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0)))
 (sqrt (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) 1))
 (sqrt (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt h0)))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0)))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0)))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) 1))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (cbrt h0)))
 (sqrt (/ 1 (sqrt h0)))
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (sqrt h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (sqrt 1)
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (sqrt (/ 1 h0))
 (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (sqrt h0)
 (/ 1 2)
 (sqrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (sqrt (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (- (log (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (log h0))
 (log (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (exp (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (/ (* (* (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (* (* h0 h0) h0))
 (* (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)) (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)))
 (cbrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (* (* (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0) (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)) (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (sqrt (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0))
 (- (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (- h0)
 (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (cbrt h0) (cbrt h0)))
 (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt h0))
 (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0))
 (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0))
 (/ (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) 1)
 (/ (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (* (cbrt h0) (cbrt h0)))
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt h0))
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0))
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt h0))
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) 1)
 (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (cbrt h0))
 (/ 1 (sqrt h0))
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (sqrt h0))
 (/ 1 1)
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) h0)
 (/ 1 h0)
 (/ h0 (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (* (cbrt h0) (cbrt h0)))
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) (sqrt h0))
 (/ (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)) 1)
 (/ h0 (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (/ h0 (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (/ h0 (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (* h0 (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (* h0 (- (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (* h1 (sqrt h4))
 (* h3 (sqrt h4))
 (* -1 (* h3 (sqrt h4)))
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
0.487 * * * [progress]: adding candidates to table
0.662 * * [progress]: iteration 2 / 4
0.662 * * * [progress]: picking best candidate
0.673 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.673 * * * [progress]: localizing error
0.688 * * * [progress]: generating rewritten candidates
0.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
0.736 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.768 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
0.798 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
0.940 * * * [progress]: generating series expansions
0.940 * * * * [progress]: [ 1 / 4 ] generating series at (2)
0.940 * [backup-simplify]: Simplify (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))
0.940 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.940 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.941 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.941 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.941 * [taylor]: Taking taylor expansion of x in z
0.941 * [backup-simplify]: Simplify x into x
0.941 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.941 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.941 * [taylor]: Taking taylor expansion of y in z
0.941 * [backup-simplify]: Simplify y into y
0.941 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.941 * [taylor]: Taking taylor expansion of z in z
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.941 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.941 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.941 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.941 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.941 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.941 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.941 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.942 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.942 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.942 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.943 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.943 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.943 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.943 * [taylor]: Taking taylor expansion of x in y
0.943 * [backup-simplify]: Simplify x into x
0.943 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.943 * [taylor]: Taking taylor expansion of y in y
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.943 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.943 * [taylor]: Taking taylor expansion of z in y
0.943 * [backup-simplify]: Simplify z into z
0.944 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.944 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.944 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.944 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.944 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.944 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.944 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.944 * [backup-simplify]: Simplify (+ 0 0) into 0
0.945 * [backup-simplify]: Simplify (+ 0 0) into 0
0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.945 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.945 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.945 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.945 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.946 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.946 * [taylor]: Taking taylor expansion of x in x
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.946 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.946 * [taylor]: Taking taylor expansion of y in x
0.946 * [backup-simplify]: Simplify y into y
0.946 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.946 * [taylor]: Taking taylor expansion of z in x
0.946 * [backup-simplify]: Simplify z into z
0.946 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.946 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.946 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.946 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.946 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.946 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.947 * [backup-simplify]: Simplify (+ 0 0) into 0
0.947 * [backup-simplify]: Simplify (+ 0 0) into 0
0.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.947 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.947 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.947 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.947 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.948 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.948 * [taylor]: Taking taylor expansion of x in x
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 1 into 1
0.948 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.948 * [taylor]: Taking taylor expansion of y in x
0.948 * [backup-simplify]: Simplify y into y
0.948 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.948 * [taylor]: Taking taylor expansion of z in x
0.948 * [backup-simplify]: Simplify z into z
0.948 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.948 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.948 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.949 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.949 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.949 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.949 * [backup-simplify]: Simplify (+ 0 0) into 0
0.949 * [backup-simplify]: Simplify (+ 0 0) into 0
0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.950 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.950 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.950 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.950 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.951 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.951 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.951 * [taylor]: Taking taylor expansion of y in y
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify 1 into 1
0.951 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.951 * [taylor]: Taking taylor expansion of z in y
0.951 * [backup-simplify]: Simplify z into z
0.951 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.951 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.951 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.951 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.952 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.952 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.952 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.952 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.953 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.953 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.953 * [taylor]: Taking taylor expansion of z in z
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 1 into 1
0.953 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.953 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.953 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.953 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.957 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.958 * [taylor]: Taking taylor expansion of 0 in y
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in z
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.958 * [taylor]: Taking taylor expansion of 0 in z
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.960 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.961 * [backup-simplify]: Simplify (* 1 1) into 1
0.961 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.961 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.962 * [backup-simplify]: Simplify (+ 0 0) into 0
0.962 * [backup-simplify]: Simplify (+ 1 0) into 1
0.963 * [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)))))
0.963 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
0.963 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.963 * [taylor]: Taking taylor expansion of 1/2 in y
0.963 * [backup-simplify]: Simplify 1/2 into 1/2
0.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.964 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.964 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.964 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.964 * [taylor]: Taking taylor expansion of y in y
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify 1 into 1
0.964 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.964 * [taylor]: Taking taylor expansion of z in y
0.964 * [backup-simplify]: Simplify z into z
0.964 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.964 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.964 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.964 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.964 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.964 * [backup-simplify]: Simplify (+ 0 0) into 0
0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.965 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.965 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.965 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.965 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.966 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.966 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.966 * [taylor]: Taking taylor expansion of 1/2 in z
0.966 * [backup-simplify]: Simplify 1/2 into 1/2
0.966 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.966 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.966 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.966 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.967 * [taylor]: Taking taylor expansion of z in z
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify 1 into 1
0.967 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in z
0.968 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.969 * [backup-simplify]: Simplify (* 1 1) into 1
0.970 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.970 * [backup-simplify]: Simplify (+ 1 0) into 1
0.970 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.971 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.971 * [taylor]: Taking taylor expansion of 1/2 in z
0.971 * [backup-simplify]: Simplify 1/2 into 1/2
0.971 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.971 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.971 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.971 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.972 * [taylor]: Taking taylor expansion of z in z
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 1 into 1
0.972 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.976 * [backup-simplify]: Simplify (sqrt (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
0.976 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.976 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.976 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.976 * [taylor]: Taking taylor expansion of x in z
0.976 * [backup-simplify]: Simplify x into x
0.976 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.976 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.976 * [taylor]: Taking taylor expansion of z in z
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (* 1 1) into 1
0.977 * [backup-simplify]: Simplify (/ 1 1) into 1
0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.977 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.977 * [taylor]: Taking taylor expansion of y in z
0.977 * [backup-simplify]: Simplify y into y
0.977 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.977 * [backup-simplify]: Simplify (+ 1 0) into 1
0.978 * [backup-simplify]: Simplify (+ 0 1) into 1
0.978 * [backup-simplify]: Simplify (sqrt 1) into 1
0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.979 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.979 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.979 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.979 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.980 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.980 * [taylor]: Taking taylor expansion of x in y
0.980 * [backup-simplify]: Simplify x into x
0.980 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.980 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.980 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.981 * [taylor]: Taking taylor expansion of z in y
0.981 * [backup-simplify]: Simplify z into z
0.981 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.981 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.981 * [taylor]: Taking taylor expansion of y in y
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (* 1 1) into 1
0.981 * [backup-simplify]: Simplify (/ 1 1) into 1
0.981 * [backup-simplify]: Simplify (+ 0 1) into 1
0.982 * [backup-simplify]: Simplify (+ 0 1) into 1
0.982 * [backup-simplify]: Simplify (sqrt 1) into 1
0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (+ 0 0) into 0
0.983 * [backup-simplify]: Simplify (+ 0 0) into 0
0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.984 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.984 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.984 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.984 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.984 * [taylor]: Taking taylor expansion of x in x
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 1 into 1
0.985 * [backup-simplify]: Simplify (* 1 1) into 1
0.985 * [backup-simplify]: Simplify (/ 1 1) into 1
0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.985 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.985 * [taylor]: Taking taylor expansion of z in x
0.985 * [backup-simplify]: Simplify z into z
0.985 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.985 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.985 * [taylor]: Taking taylor expansion of y in x
0.985 * [backup-simplify]: Simplify y into y
0.985 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.986 * [backup-simplify]: Simplify (+ 1 0) into 1
0.986 * [backup-simplify]: Simplify (sqrt 1) into 1
0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.987 * [backup-simplify]: Simplify (+ 0 0) into 0
0.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.987 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.987 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.987 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.988 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.988 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.988 * [taylor]: Taking taylor expansion of x in x
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 1 into 1
0.988 * [backup-simplify]: Simplify (* 1 1) into 1
0.989 * [backup-simplify]: Simplify (/ 1 1) into 1
0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.989 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.989 * [taylor]: Taking taylor expansion of z in x
0.989 * [backup-simplify]: Simplify z into z
0.989 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.989 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.989 * [taylor]: Taking taylor expansion of y in x
0.989 * [backup-simplify]: Simplify y into y
0.989 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.989 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.989 * [backup-simplify]: Simplify (+ 1 0) into 1
0.990 * [backup-simplify]: Simplify (sqrt 1) into 1
0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (+ 0 0) into 0
0.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.991 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.991 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.991 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.991 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.992 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.992 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.993 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.993 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.994 * [taylor]: Taking taylor expansion of 0 in y
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.994 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.994 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.996 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.997 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.998 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.999 * [taylor]: Taking taylor expansion of 1/2 in y
0.999 * [backup-simplify]: Simplify 1/2 into 1/2
0.999 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.999 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.999 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.999 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.999 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.999 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.999 * [taylor]: Taking taylor expansion of z in y
0.999 * [backup-simplify]: Simplify z into z
1.000 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.000 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
1.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
1.000 * [taylor]: Taking taylor expansion of 1/2 in y
1.000 * [backup-simplify]: Simplify 1/2 into 1/2
1.000 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
1.000 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.000 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.000 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.000 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.001 * [taylor]: Taking taylor expansion of y in y
1.001 * [backup-simplify]: Simplify 0 into 0
1.001 * [backup-simplify]: Simplify 1 into 1
1.001 * [backup-simplify]: Simplify (* 1 1) into 1
1.002 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.003 * [backup-simplify]: Simplify (+ 0 0) into 0
1.003 * [taylor]: Taking taylor expansion of 0 in z
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [taylor]: Taking taylor expansion of 0 in z
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [taylor]: Taking taylor expansion of 0 in z
1.003 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.008 * [taylor]: Taking taylor expansion of 0 in y
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
1.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
1.011 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
1.011 * [taylor]: Taking taylor expansion of 1/2 in z
1.011 * [backup-simplify]: Simplify 1/2 into 1/2
1.011 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
1.011 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.011 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.011 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.012 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.012 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.012 * [taylor]: Taking taylor expansion of z in z
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 1 into 1
1.012 * [backup-simplify]: Simplify (* 1 1) into 1
1.013 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.014 * [backup-simplify]: Simplify 0 into 0
1.014 * [taylor]: Taking taylor expansion of 0 in z
1.014 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.015 * [taylor]: Taking taylor expansion of 0 in z
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.018 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.019 * [backup-simplify]: Simplify (+ 0 0) into 0
1.019 * [backup-simplify]: Simplify (+ 0 0) into 0
1.020 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
1.022 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
1.022 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
1.022 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
1.022 * [taylor]: Taking taylor expansion of 1/8 in y
1.022 * [backup-simplify]: Simplify 1/8 into 1/8
1.022 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
1.022 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.022 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.022 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.023 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.023 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.023 * [taylor]: Taking taylor expansion of z in y
1.023 * [backup-simplify]: Simplify z into z
1.023 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.023 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.024 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
1.024 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
1.024 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
1.024 * [taylor]: Taking taylor expansion of 1/4 in y
1.024 * [backup-simplify]: Simplify 1/4 into 1/4
1.024 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
1.024 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.024 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.025 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.025 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.025 * [taylor]: Taking taylor expansion of z in y
1.025 * [backup-simplify]: Simplify z into z
1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.025 * [taylor]: Taking taylor expansion of y in y
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 1 into 1
1.025 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.025 * [backup-simplify]: Simplify (* 1 1) into 1
1.025 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.025 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
1.025 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
1.025 * [taylor]: Taking taylor expansion of 1/8 in y
1.025 * [backup-simplify]: Simplify 1/8 into 1/8
1.025 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
1.025 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.026 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.026 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.026 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.026 * [taylor]: Taking taylor expansion of y in y
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 1 into 1
1.027 * [backup-simplify]: Simplify (* 1 1) into 1
1.027 * [backup-simplify]: Simplify (* 1 1) into 1
1.027 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.028 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.028 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.029 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
1.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
1.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.036 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.036 * [backup-simplify]: Simplify (+ 0 0) into 0
1.036 * [backup-simplify]: Simplify (+ 0 0) into 0
1.037 * [backup-simplify]: Simplify (- 0) into 0
1.037 * [taylor]: Taking taylor expansion of 0 in z
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [taylor]: Taking taylor expansion of 0 in z
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.037 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
1.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
1.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1.041 * [taylor]: Taking taylor expansion of 0 in z
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [taylor]: Taking taylor expansion of 0 in z
1.041 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.042 * [taylor]: Taking taylor expansion of 0 in z
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
1.049 * [backup-simplify]: Simplify 0 into 0
1.049 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
1.050 * [backup-simplify]: Simplify (sqrt (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
1.050 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
1.050 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
1.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.050 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.050 * [taylor]: Taking taylor expansion of x in z
1.050 * [backup-simplify]: Simplify x into x
1.050 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.050 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.051 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.051 * [taylor]: Taking taylor expansion of z in z
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 1 into 1
1.051 * [backup-simplify]: Simplify (* 1 1) into 1
1.051 * [backup-simplify]: Simplify (/ 1 1) into 1
1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.051 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.051 * [taylor]: Taking taylor expansion of y in z
1.051 * [backup-simplify]: Simplify y into y
1.051 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.052 * [backup-simplify]: Simplify (+ 1 0) into 1
1.052 * [backup-simplify]: Simplify (+ 0 1) into 1
1.052 * [backup-simplify]: Simplify (sqrt 1) into 1
1.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.053 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [backup-simplify]: Simplify (+ 0 0) into 0
1.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.054 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.054 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.054 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.054 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.055 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.055 * [taylor]: Taking taylor expansion of x in y
1.055 * [backup-simplify]: Simplify x into x
1.055 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.055 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.055 * [taylor]: Taking taylor expansion of z in y
1.055 * [backup-simplify]: Simplify z into z
1.055 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.055 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.055 * [taylor]: Taking taylor expansion of y in y
1.055 * [backup-simplify]: Simplify 0 into 0
1.055 * [backup-simplify]: Simplify 1 into 1
1.056 * [backup-simplify]: Simplify (* 1 1) into 1
1.056 * [backup-simplify]: Simplify (/ 1 1) into 1
1.056 * [backup-simplify]: Simplify (+ 0 1) into 1
1.056 * [backup-simplify]: Simplify (+ 0 1) into 1
1.057 * [backup-simplify]: Simplify (sqrt 1) into 1
1.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.058 * [backup-simplify]: Simplify (+ 0 0) into 0
1.058 * [backup-simplify]: Simplify (+ 0 0) into 0
1.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.058 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.058 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.059 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.059 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.059 * [taylor]: Taking taylor expansion of x in x
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify 1 into 1
1.059 * [backup-simplify]: Simplify (* 1 1) into 1
1.060 * [backup-simplify]: Simplify (/ 1 1) into 1
1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.060 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.060 * [taylor]: Taking taylor expansion of z in x
1.060 * [backup-simplify]: Simplify z into z
1.060 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.060 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.060 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.060 * [taylor]: Taking taylor expansion of y in x
1.060 * [backup-simplify]: Simplify y into y
1.060 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.060 * [backup-simplify]: Simplify (+ 1 0) into 1
1.061 * [backup-simplify]: Simplify (sqrt 1) into 1
1.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.062 * [backup-simplify]: Simplify (+ 0 0) into 0
1.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.062 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
1.062 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.062 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.062 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.063 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.063 * [taylor]: Taking taylor expansion of x in x
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 1 into 1
1.063 * [backup-simplify]: Simplify (* 1 1) into 1
1.064 * [backup-simplify]: Simplify (/ 1 1) into 1
1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.064 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.064 * [taylor]: Taking taylor expansion of z in x
1.064 * [backup-simplify]: Simplify z into z
1.064 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.064 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.064 * [taylor]: Taking taylor expansion of y in x
1.064 * [backup-simplify]: Simplify y into y
1.064 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.064 * [backup-simplify]: Simplify (+ 1 0) into 1
1.065 * [backup-simplify]: Simplify (sqrt 1) into 1
1.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.066 * [backup-simplify]: Simplify (+ 0 0) into 0
1.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.066 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
1.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.066 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.067 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
1.067 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.068 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.068 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.068 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.069 * [taylor]: Taking taylor expansion of 0 in y
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.069 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.069 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.069 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.072 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.073 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
1.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
1.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
1.074 * [taylor]: Taking taylor expansion of 1/2 in y
1.074 * [backup-simplify]: Simplify 1/2 into 1/2
1.074 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
1.074 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.074 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.074 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.074 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.075 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.075 * [taylor]: Taking taylor expansion of z in y
1.075 * [backup-simplify]: Simplify z into z
1.075 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.075 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
1.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
1.075 * [taylor]: Taking taylor expansion of 1/2 in y
1.075 * [backup-simplify]: Simplify 1/2 into 1/2
1.075 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
1.075 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.075 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.075 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.075 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.076 * [taylor]: Taking taylor expansion of y in y
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 1 into 1
1.076 * [backup-simplify]: Simplify (* 1 1) into 1
1.077 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.078 * [backup-simplify]: Simplify (+ 0 0) into 0
1.079 * [taylor]: Taking taylor expansion of 0 in z
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [taylor]: Taking taylor expansion of 0 in z
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [taylor]: Taking taylor expansion of 0 in z
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.081 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.081 * [backup-simplify]: Simplify (+ 0 0) into 0
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.083 * [taylor]: Taking taylor expansion of 0 in y
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
1.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
1.086 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
1.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
1.086 * [taylor]: Taking taylor expansion of 1/2 in z
1.086 * [backup-simplify]: Simplify 1/2 into 1/2
1.086 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
1.086 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.086 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.086 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.087 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.087 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.087 * [taylor]: Taking taylor expansion of z in z
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 1 into 1
1.087 * [backup-simplify]: Simplify (* 1 1) into 1
1.088 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [taylor]: Taking taylor expansion of 0 in z
1.089 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.090 * [taylor]: Taking taylor expansion of 0 in z
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.092 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.093 * [backup-simplify]: Simplify (+ 0 0) into 0
1.094 * [backup-simplify]: Simplify (+ 0 0) into 0
1.095 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
1.097 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
1.097 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
1.097 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
1.097 * [taylor]: Taking taylor expansion of 1/8 in y
1.097 * [backup-simplify]: Simplify 1/8 into 1/8
1.097 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
1.097 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.097 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.097 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.097 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.098 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.098 * [taylor]: Taking taylor expansion of z in y
1.098 * [backup-simplify]: Simplify z into z
1.098 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.098 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.098 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
1.098 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
1.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
1.098 * [taylor]: Taking taylor expansion of 1/4 in y
1.098 * [backup-simplify]: Simplify 1/4 into 1/4
1.098 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
1.098 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.099 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.099 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.099 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.099 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.099 * [taylor]: Taking taylor expansion of z in y
1.099 * [backup-simplify]: Simplify z into z
1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.100 * [taylor]: Taking taylor expansion of y in y
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.100 * [backup-simplify]: Simplify (* 1 1) into 1
1.100 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.100 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
1.100 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
1.100 * [taylor]: Taking taylor expansion of 1/8 in y
1.100 * [backup-simplify]: Simplify 1/8 into 1/8
1.100 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
1.100 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.100 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.100 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.101 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.101 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.101 * [taylor]: Taking taylor expansion of y in y
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 1 into 1
1.101 * [backup-simplify]: Simplify (* 1 1) into 1
1.102 * [backup-simplify]: Simplify (* 1 1) into 1
1.102 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.103 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.103 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.103 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
1.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
1.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.111 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.111 * [backup-simplify]: Simplify (+ 0 0) into 0
1.111 * [backup-simplify]: Simplify (+ 0 0) into 0
1.112 * [backup-simplify]: Simplify (- 0) into 0
1.112 * [taylor]: Taking taylor expansion of 0 in z
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [taylor]: Taking taylor expansion of 0 in z
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.112 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
1.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
1.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
1.116 * [backup-simplify]: Simplify (+ 0 0) into 0
1.116 * [taylor]: Taking taylor expansion of 0 in z
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [taylor]: Taking taylor expansion of 0 in z
1.116 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
1.117 * [taylor]: Taking taylor expansion of 0 in z
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
1.119 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
1.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
1.120 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.120 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.120 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.120 * [taylor]: Taking taylor expansion of x in z
1.120 * [backup-simplify]: Simplify x into x
1.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.120 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.120 * [taylor]: Taking taylor expansion of y in z
1.120 * [backup-simplify]: Simplify y into y
1.120 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.120 * [taylor]: Taking taylor expansion of z in z
1.120 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify 1 into 1
1.120 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.120 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.120 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.121 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.121 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.121 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.121 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.121 * [backup-simplify]: Simplify (+ 0 0) into 0
1.122 * [backup-simplify]: Simplify (+ 0 0) into 0
1.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.122 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.122 * [taylor]: Taking taylor expansion of x in y
1.122 * [backup-simplify]: Simplify x into x
1.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.122 * [taylor]: Taking taylor expansion of y in y
1.122 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify 1 into 1
1.122 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.122 * [taylor]: Taking taylor expansion of z in y
1.122 * [backup-simplify]: Simplify z into z
1.122 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.122 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.122 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.122 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.122 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.123 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.123 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.123 * [backup-simplify]: Simplify (+ 0 0) into 0
1.123 * [backup-simplify]: Simplify (+ 0 0) into 0
1.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.123 * [taylor]: Taking taylor expansion of x in x
1.123 * [backup-simplify]: Simplify 0 into 0
1.124 * [backup-simplify]: Simplify 1 into 1
1.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.124 * [taylor]: Taking taylor expansion of y in x
1.124 * [backup-simplify]: Simplify y into y
1.124 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.124 * [taylor]: Taking taylor expansion of z in x
1.124 * [backup-simplify]: Simplify z into z
1.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.124 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.124 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.124 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.124 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.124 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.125 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.125 * [taylor]: Taking taylor expansion of x in x
1.125 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify 1 into 1
1.125 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.125 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.125 * [taylor]: Taking taylor expansion of y in x
1.125 * [backup-simplify]: Simplify y into y
1.125 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.125 * [taylor]: Taking taylor expansion of z in x
1.125 * [backup-simplify]: Simplify z into z
1.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.125 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.125 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.126 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.126 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.126 * [backup-simplify]: Simplify (+ 0 0) into 0
1.126 * [backup-simplify]: Simplify (+ 0 0) into 0
1.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.127 * [taylor]: Taking taylor expansion of y in y
1.127 * [backup-simplify]: Simplify 0 into 0
1.127 * [backup-simplify]: Simplify 1 into 1
1.127 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.127 * [taylor]: Taking taylor expansion of z in y
1.127 * [backup-simplify]: Simplify z into z
1.127 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.127 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.127 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.127 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.127 * [backup-simplify]: Simplify (+ 0 0) into 0
1.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.128 * [taylor]: Taking taylor expansion of z in z
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify 1 into 1
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [taylor]: Taking taylor expansion of 0 in y
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [taylor]: Taking taylor expansion of 0 in z
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [taylor]: Taking taylor expansion of 0 in z
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify 1 into 1
1.128 * [backup-simplify]: Simplify (* 1 1) into 1
1.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.129 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.129 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [backup-simplify]: Simplify (+ 1 0) into 1
1.130 * [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)))))
1.130 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.130 * [taylor]: Taking taylor expansion of 1/2 in y
1.130 * [backup-simplify]: Simplify 1/2 into 1/2
1.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.130 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.130 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.130 * [taylor]: Taking taylor expansion of y in y
1.130 * [backup-simplify]: Simplify 0 into 0
1.130 * [backup-simplify]: Simplify 1 into 1
1.130 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.130 * [taylor]: Taking taylor expansion of z in y
1.130 * [backup-simplify]: Simplify z into z
1.130 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.130 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.131 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.131 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.131 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.131 * [backup-simplify]: Simplify (+ 0 0) into 0
1.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.131 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.131 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.131 * [taylor]: Taking taylor expansion of 1/2 in z
1.131 * [backup-simplify]: Simplify 1/2 into 1/2
1.131 * [taylor]: Taking taylor expansion of z in z
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [taylor]: Taking taylor expansion of 0 in z
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.133 * [backup-simplify]: Simplify (* 1 1) into 1
1.133 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.133 * [backup-simplify]: Simplify (+ 1 0) into 1
1.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.134 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.134 * [taylor]: Taking taylor expansion of 1/2 in z
1.134 * [backup-simplify]: Simplify 1/2 into 1/2
1.134 * [taylor]: Taking taylor expansion of z in z
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 1 into 1
1.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.135 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.135 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.135 * [taylor]: Taking taylor expansion of x in z
1.135 * [backup-simplify]: Simplify x into x
1.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.135 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.135 * [taylor]: Taking taylor expansion of z in z
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify 1 into 1
1.136 * [backup-simplify]: Simplify (* 1 1) into 1
1.136 * [backup-simplify]: Simplify (/ 1 1) into 1
1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.136 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.136 * [taylor]: Taking taylor expansion of y in z
1.136 * [backup-simplify]: Simplify y into y
1.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.136 * [backup-simplify]: Simplify (+ 1 0) into 1
1.137 * [backup-simplify]: Simplify (+ 0 1) into 1
1.137 * [backup-simplify]: Simplify (sqrt 1) into 1
1.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.138 * [backup-simplify]: Simplify (+ 0 0) into 0
1.138 * [backup-simplify]: Simplify (+ 0 0) into 0
1.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.139 * [taylor]: Taking taylor expansion of x in y
1.139 * [backup-simplify]: Simplify x into x
1.139 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.139 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.139 * [taylor]: Taking taylor expansion of z in y
1.139 * [backup-simplify]: Simplify z into z
1.139 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.139 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.139 * [taylor]: Taking taylor expansion of y in y
1.139 * [backup-simplify]: Simplify 0 into 0
1.139 * [backup-simplify]: Simplify 1 into 1
1.139 * [backup-simplify]: Simplify (* 1 1) into 1
1.140 * [backup-simplify]: Simplify (/ 1 1) into 1
1.140 * [backup-simplify]: Simplify (+ 0 1) into 1
1.144 * [backup-simplify]: Simplify (+ 0 1) into 1
1.144 * [backup-simplify]: Simplify (sqrt 1) into 1
1.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.145 * [backup-simplify]: Simplify (+ 0 0) into 0
1.146 * [backup-simplify]: Simplify (+ 0 0) into 0
1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.146 * [taylor]: Taking taylor expansion of x in x
1.146 * [backup-simplify]: Simplify 0 into 0
1.146 * [backup-simplify]: Simplify 1 into 1
1.146 * [backup-simplify]: Simplify (* 1 1) into 1
1.147 * [backup-simplify]: Simplify (/ 1 1) into 1
1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.147 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.147 * [taylor]: Taking taylor expansion of z in x
1.147 * [backup-simplify]: Simplify z into z
1.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.147 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.147 * [taylor]: Taking taylor expansion of y in x
1.147 * [backup-simplify]: Simplify y into y
1.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.148 * [backup-simplify]: Simplify (+ 1 0) into 1
1.148 * [backup-simplify]: Simplify (sqrt 1) into 1
1.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.149 * [backup-simplify]: Simplify (+ 0 0) into 0
1.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.149 * [taylor]: Taking taylor expansion of x in x
1.149 * [backup-simplify]: Simplify 0 into 0
1.149 * [backup-simplify]: Simplify 1 into 1
1.150 * [backup-simplify]: Simplify (* 1 1) into 1
1.150 * [backup-simplify]: Simplify (/ 1 1) into 1
1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.150 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.150 * [taylor]: Taking taylor expansion of z in x
1.150 * [backup-simplify]: Simplify z into z
1.150 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.150 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.150 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.150 * [taylor]: Taking taylor expansion of y in x
1.150 * [backup-simplify]: Simplify y into y
1.150 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.151 * [backup-simplify]: Simplify (+ 1 0) into 1
1.151 * [backup-simplify]: Simplify (sqrt 1) into 1
1.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.152 * [backup-simplify]: Simplify (+ 0 0) into 0
1.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.152 * [taylor]: Taking taylor expansion of 1 in y
1.152 * [backup-simplify]: Simplify 1 into 1
1.152 * [taylor]: Taking taylor expansion of 0 in y
1.152 * [backup-simplify]: Simplify 0 into 0
1.152 * [taylor]: Taking taylor expansion of 1 in z
1.152 * [backup-simplify]: Simplify 1 into 1
1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.154 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.154 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.155 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.155 * [taylor]: Taking taylor expansion of 1/2 in y
1.155 * [backup-simplify]: Simplify 1/2 into 1/2
1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.155 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.155 * [taylor]: Taking taylor expansion of z in y
1.155 * [backup-simplify]: Simplify z into z
1.155 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.155 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.155 * [taylor]: Taking taylor expansion of y in y
1.155 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify 1 into 1
1.155 * [backup-simplify]: Simplify (* 1 1) into 1
1.156 * [backup-simplify]: Simplify (/ 1 1) into 1
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.157 * [backup-simplify]: Simplify (+ 0 0) into 0
1.157 * [backup-simplify]: Simplify (+ 0 1) into 1
1.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.157 * [taylor]: Taking taylor expansion of 0 in z
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [taylor]: Taking taylor expansion of 0 in z
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [taylor]: Taking taylor expansion of 0 in z
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 1 into 1
1.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.159 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.159 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.159 * [backup-simplify]: Simplify (+ 0 0) into 0
1.159 * [backup-simplify]: Simplify (+ 0 0) into 0
1.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.160 * [taylor]: Taking taylor expansion of 0 in y
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.161 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.162 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.162 * [taylor]: Taking taylor expansion of 1/2 in z
1.162 * [backup-simplify]: Simplify 1/2 into 1/2
1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.162 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.162 * [taylor]: Taking taylor expansion of z in z
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 1 into 1
1.162 * [backup-simplify]: Simplify (* 1 1) into 1
1.162 * [backup-simplify]: Simplify (/ 1 1) into 1
1.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [taylor]: Taking taylor expansion of 0 in z
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [taylor]: Taking taylor expansion of 0 in z
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.165 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.166 * [backup-simplify]: Simplify (+ 0 0) into 0
1.166 * [backup-simplify]: Simplify (+ 0 0) into 0
1.167 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.167 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.167 * [taylor]: Taking taylor expansion of -1/2 in y
1.167 * [backup-simplify]: Simplify -1/2 into -1/2
1.167 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.167 * [taylor]: Taking taylor expansion of 1/4 in y
1.167 * [backup-simplify]: Simplify 1/4 into 1/4
1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.167 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.168 * [taylor]: Taking taylor expansion of z in y
1.168 * [backup-simplify]: Simplify z into z
1.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.168 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.168 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.168 * [taylor]: Taking taylor expansion of 1/2 in y
1.168 * [backup-simplify]: Simplify 1/2 into 1/2
1.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.168 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.168 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.168 * [taylor]: Taking taylor expansion of z in y
1.168 * [backup-simplify]: Simplify z into z
1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.168 * [taylor]: Taking taylor expansion of y in y
1.168 * [backup-simplify]: Simplify 0 into 0
1.168 * [backup-simplify]: Simplify 1 into 1
1.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.168 * [backup-simplify]: Simplify (* 1 1) into 1
1.168 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.168 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.169 * [taylor]: Taking taylor expansion of 1/4 in y
1.169 * [backup-simplify]: Simplify 1/4 into 1/4
1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.169 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.169 * [taylor]: Taking taylor expansion of y in y
1.169 * [backup-simplify]: Simplify 0 into 0
1.169 * [backup-simplify]: Simplify 1 into 1
1.169 * [backup-simplify]: Simplify (* 1 1) into 1
1.169 * [backup-simplify]: Simplify (* 1 1) into 1
1.169 * [backup-simplify]: Simplify (/ 1 1) into 1
1.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.170 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.170 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.176 * [backup-simplify]: Simplify (+ 0 0) into 0
1.176 * [backup-simplify]: Simplify (+ 0 0) into 0
1.176 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.177 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.178 * [backup-simplify]: Simplify (+ 0 0) into 0
1.178 * [backup-simplify]: Simplify (+ 0 0) into 0
1.178 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.179 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.179 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.180 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.180 * [taylor]: Taking taylor expansion of 0 in z
1.180 * [backup-simplify]: Simplify 0 into 0
1.180 * [taylor]: Taking taylor expansion of 0 in z
1.180 * [backup-simplify]: Simplify 0 into 0
1.180 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.181 * [backup-simplify]: Simplify (+ 0 0) into 0
1.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.182 * [taylor]: Taking taylor expansion of 0 in z
1.182 * [backup-simplify]: Simplify 0 into 0
1.182 * [taylor]: Taking taylor expansion of 0 in z
1.182 * [backup-simplify]: Simplify 0 into 0
1.182 * [taylor]: Taking taylor expansion of 0 in z
1.182 * [backup-simplify]: Simplify 0 into 0
1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.184 * [backup-simplify]: Simplify 0 into 0
1.184 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.184 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.184 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.184 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.184 * [taylor]: Taking taylor expansion of x in z
1.184 * [backup-simplify]: Simplify x into x
1.184 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.184 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.184 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.184 * [taylor]: Taking taylor expansion of z in z
1.184 * [backup-simplify]: Simplify 0 into 0
1.184 * [backup-simplify]: Simplify 1 into 1
1.185 * [backup-simplify]: Simplify (* 1 1) into 1
1.185 * [backup-simplify]: Simplify (/ 1 1) into 1
1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.185 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.185 * [taylor]: Taking taylor expansion of y in z
1.185 * [backup-simplify]: Simplify y into y
1.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.185 * [backup-simplify]: Simplify (+ 1 0) into 1
1.186 * [backup-simplify]: Simplify (+ 0 1) into 1
1.186 * [backup-simplify]: Simplify (sqrt 1) into 1
1.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.187 * [backup-simplify]: Simplify (+ 0 0) into 0
1.187 * [backup-simplify]: Simplify (+ 0 0) into 0
1.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.188 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.188 * [taylor]: Taking taylor expansion of x in y
1.188 * [backup-simplify]: Simplify x into x
1.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.188 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.188 * [taylor]: Taking taylor expansion of z in y
1.188 * [backup-simplify]: Simplify z into z
1.188 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.188 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.188 * [taylor]: Taking taylor expansion of y in y
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [backup-simplify]: Simplify (* 1 1) into 1
1.189 * [backup-simplify]: Simplify (/ 1 1) into 1
1.189 * [backup-simplify]: Simplify (+ 0 1) into 1
1.189 * [backup-simplify]: Simplify (+ 0 1) into 1
1.189 * [backup-simplify]: Simplify (sqrt 1) into 1
1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.190 * [backup-simplify]: Simplify (+ 0 0) into 0
1.191 * [backup-simplify]: Simplify (+ 0 0) into 0
1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.191 * [taylor]: Taking taylor expansion of x in x
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 1 into 1
1.191 * [backup-simplify]: Simplify (* 1 1) into 1
1.192 * [backup-simplify]: Simplify (/ 1 1) into 1
1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.192 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.192 * [taylor]: Taking taylor expansion of z in x
1.192 * [backup-simplify]: Simplify z into z
1.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.192 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.192 * [taylor]: Taking taylor expansion of y in x
1.192 * [backup-simplify]: Simplify y into y
1.192 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.192 * [backup-simplify]: Simplify (+ 1 0) into 1
1.193 * [backup-simplify]: Simplify (sqrt 1) into 1
1.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.194 * [backup-simplify]: Simplify (+ 0 0) into 0
1.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.194 * [taylor]: Taking taylor expansion of x in x
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 1 into 1
1.195 * [backup-simplify]: Simplify (* 1 1) into 1
1.195 * [backup-simplify]: Simplify (/ 1 1) into 1
1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.195 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.195 * [taylor]: Taking taylor expansion of z in x
1.195 * [backup-simplify]: Simplify z into z
1.195 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.195 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.195 * [taylor]: Taking taylor expansion of y in x
1.195 * [backup-simplify]: Simplify y into y
1.195 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.195 * [backup-simplify]: Simplify (+ 1 0) into 1
1.196 * [backup-simplify]: Simplify (sqrt 1) into 1
1.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.197 * [backup-simplify]: Simplify (+ 0 0) into 0
1.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.197 * [taylor]: Taking taylor expansion of 1 in y
1.197 * [backup-simplify]: Simplify 1 into 1
1.197 * [taylor]: Taking taylor expansion of 0 in y
1.197 * [backup-simplify]: Simplify 0 into 0
1.197 * [taylor]: Taking taylor expansion of 1 in z
1.197 * [backup-simplify]: Simplify 1 into 1
1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.199 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.199 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.200 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.200 * [taylor]: Taking taylor expansion of 1/2 in y
1.200 * [backup-simplify]: Simplify 1/2 into 1/2
1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.200 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.200 * [taylor]: Taking taylor expansion of z in y
1.200 * [backup-simplify]: Simplify z into z
1.200 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.200 * [taylor]: Taking taylor expansion of y in y
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [backup-simplify]: Simplify (* 1 1) into 1
1.201 * [backup-simplify]: Simplify (/ 1 1) into 1
1.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.202 * [backup-simplify]: Simplify (+ 0 0) into 0
1.202 * [backup-simplify]: Simplify (+ 0 1) into 1
1.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.202 * [taylor]: Taking taylor expansion of 0 in z
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [taylor]: Taking taylor expansion of 0 in z
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [taylor]: Taking taylor expansion of 0 in z
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [backup-simplify]: Simplify 1 into 1
1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.204 * [backup-simplify]: Simplify (+ 0 0) into 0
1.205 * [backup-simplify]: Simplify (+ 0 0) into 0
1.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.205 * [taylor]: Taking taylor expansion of 0 in y
1.205 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.207 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.207 * [taylor]: Taking taylor expansion of 1/2 in z
1.207 * [backup-simplify]: Simplify 1/2 into 1/2
1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.207 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.207 * [taylor]: Taking taylor expansion of z in z
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.207 * [backup-simplify]: Simplify (* 1 1) into 1
1.207 * [backup-simplify]: Simplify (/ 1 1) into 1
1.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.208 * [backup-simplify]: Simplify 0 into 0
1.209 * [taylor]: Taking taylor expansion of 0 in z
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [taylor]: Taking taylor expansion of 0 in z
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.210 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.211 * [backup-simplify]: Simplify (+ 0 0) into 0
1.211 * [backup-simplify]: Simplify (+ 0 0) into 0
1.212 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.212 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.212 * [taylor]: Taking taylor expansion of -1/2 in y
1.213 * [backup-simplify]: Simplify -1/2 into -1/2
1.213 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.213 * [taylor]: Taking taylor expansion of 1/4 in y
1.213 * [backup-simplify]: Simplify 1/4 into 1/4
1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.213 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.213 * [taylor]: Taking taylor expansion of z in y
1.213 * [backup-simplify]: Simplify z into z
1.213 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.213 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.213 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.213 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.213 * [taylor]: Taking taylor expansion of 1/2 in y
1.213 * [backup-simplify]: Simplify 1/2 into 1/2
1.213 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.213 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.213 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.213 * [taylor]: Taking taylor expansion of z in y
1.213 * [backup-simplify]: Simplify z into z
1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.213 * [taylor]: Taking taylor expansion of y in y
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.213 * [backup-simplify]: Simplify (* 1 1) into 1
1.214 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.214 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.214 * [taylor]: Taking taylor expansion of 1/4 in y
1.214 * [backup-simplify]: Simplify 1/4 into 1/4
1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.214 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.214 * [taylor]: Taking taylor expansion of y in y
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 1 into 1
1.214 * [backup-simplify]: Simplify (* 1 1) into 1
1.214 * [backup-simplify]: Simplify (* 1 1) into 1
1.214 * [backup-simplify]: Simplify (/ 1 1) into 1
1.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.215 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.215 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.221 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.222 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.222 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.223 * [backup-simplify]: Simplify (+ 0 0) into 0
1.223 * [backup-simplify]: Simplify (+ 0 0) into 0
1.223 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.224 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.224 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.225 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.225 * [taylor]: Taking taylor expansion of 0 in z
1.225 * [backup-simplify]: Simplify 0 into 0
1.225 * [taylor]: Taking taylor expansion of 0 in z
1.225 * [backup-simplify]: Simplify 0 into 0
1.225 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.226 * [backup-simplify]: Simplify (+ 0 0) into 0
1.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.227 * [taylor]: Taking taylor expansion of 0 in z
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [taylor]: Taking taylor expansion of 0 in z
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [taylor]: Taking taylor expansion of 0 in z
1.227 * [backup-simplify]: Simplify 0 into 0
1.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.229 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.229 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
1.229 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.229 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.229 * [taylor]: Taking taylor expansion of x in z
1.229 * [backup-simplify]: Simplify x into x
1.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.229 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.229 * [taylor]: Taking taylor expansion of y in z
1.229 * [backup-simplify]: Simplify y into y
1.229 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.229 * [taylor]: Taking taylor expansion of z in z
1.229 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.230 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.230 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.230 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.230 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.230 * [backup-simplify]: Simplify (+ 0 0) into 0
1.231 * [backup-simplify]: Simplify (+ 0 0) into 0
1.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.231 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.231 * [taylor]: Taking taylor expansion of x in y
1.231 * [backup-simplify]: Simplify x into x
1.231 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.231 * [taylor]: Taking taylor expansion of y in y
1.231 * [backup-simplify]: Simplify 0 into 0
1.231 * [backup-simplify]: Simplify 1 into 1
1.231 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.231 * [taylor]: Taking taylor expansion of z in y
1.231 * [backup-simplify]: Simplify z into z
1.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.231 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.231 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.231 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.231 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.231 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.232 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.232 * [backup-simplify]: Simplify (+ 0 0) into 0
1.232 * [backup-simplify]: Simplify (+ 0 0) into 0
1.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.232 * [taylor]: Taking taylor expansion of x in x
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify 1 into 1
1.232 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.232 * [taylor]: Taking taylor expansion of y in x
1.232 * [backup-simplify]: Simplify y into y
1.232 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.232 * [taylor]: Taking taylor expansion of z in x
1.232 * [backup-simplify]: Simplify z into z
1.232 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.233 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.233 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.233 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.233 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.233 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.233 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.237 * [backup-simplify]: Simplify (+ 0 0) into 0
1.237 * [backup-simplify]: Simplify (+ 0 0) into 0
1.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.238 * [taylor]: Taking taylor expansion of x in x
1.238 * [backup-simplify]: Simplify 0 into 0
1.238 * [backup-simplify]: Simplify 1 into 1
1.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.238 * [taylor]: Taking taylor expansion of y in x
1.238 * [backup-simplify]: Simplify y into y
1.238 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.238 * [taylor]: Taking taylor expansion of z in x
1.238 * [backup-simplify]: Simplify z into z
1.238 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.238 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.238 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.238 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.239 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.239 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.239 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.239 * [backup-simplify]: Simplify (+ 0 0) into 0
1.239 * [backup-simplify]: Simplify (+ 0 0) into 0
1.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.239 * [taylor]: Taking taylor expansion of y in y
1.239 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.240 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.240 * [taylor]: Taking taylor expansion of z in y
1.240 * [backup-simplify]: Simplify z into z
1.240 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.240 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.240 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.240 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.240 * [backup-simplify]: Simplify (+ 0 0) into 0
1.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.240 * [taylor]: Taking taylor expansion of z in z
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [taylor]: Taking taylor expansion of 0 in y
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [taylor]: Taking taylor expansion of 0 in z
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [taylor]: Taking taylor expansion of 0 in z
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.241 * [backup-simplify]: Simplify (* 1 1) into 1
1.241 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.241 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.242 * [backup-simplify]: Simplify (+ 0 0) into 0
1.242 * [backup-simplify]: Simplify (+ 1 0) into 1
1.242 * [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)))))
1.242 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.242 * [taylor]: Taking taylor expansion of 1/2 in y
1.242 * [backup-simplify]: Simplify 1/2 into 1/2
1.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.243 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.243 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.243 * [taylor]: Taking taylor expansion of y in y
1.243 * [backup-simplify]: Simplify 0 into 0
1.243 * [backup-simplify]: Simplify 1 into 1
1.243 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.243 * [taylor]: Taking taylor expansion of z in y
1.243 * [backup-simplify]: Simplify z into z
1.243 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.243 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.243 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.243 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.243 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.243 * [backup-simplify]: Simplify (+ 0 0) into 0
1.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.244 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.244 * [taylor]: Taking taylor expansion of 1/2 in z
1.244 * [backup-simplify]: Simplify 1/2 into 1/2
1.244 * [taylor]: Taking taylor expansion of z in z
1.244 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify 1 into 1
1.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [taylor]: Taking taylor expansion of 0 in z
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify (* 1 1) into 1
1.245 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.245 * [backup-simplify]: Simplify (+ 1 0) into 1
1.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.246 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.246 * [taylor]: Taking taylor expansion of 1/2 in z
1.246 * [backup-simplify]: Simplify 1/2 into 1/2
1.246 * [taylor]: Taking taylor expansion of z in z
1.246 * [backup-simplify]: Simplify 0 into 0
1.246 * [backup-simplify]: Simplify 1 into 1
1.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.247 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.247 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.247 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.247 * [taylor]: Taking taylor expansion of x in z
1.247 * [backup-simplify]: Simplify x into x
1.248 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.248 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.248 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.248 * [taylor]: Taking taylor expansion of z in z
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 1 into 1
1.248 * [backup-simplify]: Simplify (* 1 1) into 1
1.248 * [backup-simplify]: Simplify (/ 1 1) into 1
1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.248 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.248 * [taylor]: Taking taylor expansion of y in z
1.248 * [backup-simplify]: Simplify y into y
1.248 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.249 * [backup-simplify]: Simplify (+ 1 0) into 1
1.249 * [backup-simplify]: Simplify (+ 0 1) into 1
1.249 * [backup-simplify]: Simplify (sqrt 1) into 1
1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.251 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.251 * [taylor]: Taking taylor expansion of x in y
1.251 * [backup-simplify]: Simplify x into x
1.251 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.251 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.251 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.251 * [taylor]: Taking taylor expansion of z in y
1.251 * [backup-simplify]: Simplify z into z
1.251 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.251 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.251 * [taylor]: Taking taylor expansion of y in y
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 1 into 1
1.252 * [backup-simplify]: Simplify (* 1 1) into 1
1.252 * [backup-simplify]: Simplify (/ 1 1) into 1
1.252 * [backup-simplify]: Simplify (+ 0 1) into 1
1.253 * [backup-simplify]: Simplify (+ 0 1) into 1
1.253 * [backup-simplify]: Simplify (sqrt 1) into 1
1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.254 * [backup-simplify]: Simplify (+ 0 0) into 0
1.254 * [backup-simplify]: Simplify (+ 0 0) into 0
1.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.255 * [taylor]: Taking taylor expansion of x in x
1.255 * [backup-simplify]: Simplify 0 into 0
1.255 * [backup-simplify]: Simplify 1 into 1
1.255 * [backup-simplify]: Simplify (* 1 1) into 1
1.255 * [backup-simplify]: Simplify (/ 1 1) into 1
1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.255 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.255 * [taylor]: Taking taylor expansion of z in x
1.255 * [backup-simplify]: Simplify z into z
1.255 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.255 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.255 * [taylor]: Taking taylor expansion of y in x
1.255 * [backup-simplify]: Simplify y into y
1.255 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.256 * [backup-simplify]: Simplify (+ 1 0) into 1
1.256 * [backup-simplify]: Simplify (sqrt 1) into 1
1.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.258 * [taylor]: Taking taylor expansion of x in x
1.258 * [backup-simplify]: Simplify 0 into 0
1.258 * [backup-simplify]: Simplify 1 into 1
1.258 * [backup-simplify]: Simplify (* 1 1) into 1
1.258 * [backup-simplify]: Simplify (/ 1 1) into 1
1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.258 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.258 * [taylor]: Taking taylor expansion of z in x
1.258 * [backup-simplify]: Simplify z into z
1.258 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.258 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.258 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.258 * [taylor]: Taking taylor expansion of y in x
1.258 * [backup-simplify]: Simplify y into y
1.259 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.259 * [backup-simplify]: Simplify (+ 1 0) into 1
1.259 * [backup-simplify]: Simplify (sqrt 1) into 1
1.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.260 * [backup-simplify]: Simplify (+ 0 0) into 0
1.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.261 * [taylor]: Taking taylor expansion of 1 in y
1.261 * [backup-simplify]: Simplify 1 into 1
1.261 * [taylor]: Taking taylor expansion of 0 in y
1.261 * [backup-simplify]: Simplify 0 into 0
1.261 * [taylor]: Taking taylor expansion of 1 in z
1.261 * [backup-simplify]: Simplify 1 into 1
1.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.262 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.262 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.263 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.263 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.263 * [taylor]: Taking taylor expansion of 1/2 in y
1.263 * [backup-simplify]: Simplify 1/2 into 1/2
1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.263 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.263 * [taylor]: Taking taylor expansion of z in y
1.263 * [backup-simplify]: Simplify z into z
1.263 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.263 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.263 * [taylor]: Taking taylor expansion of y in y
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (* 1 1) into 1
1.264 * [backup-simplify]: Simplify (/ 1 1) into 1
1.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.265 * [backup-simplify]: Simplify (+ 0 0) into 0
1.265 * [backup-simplify]: Simplify (+ 0 1) into 1
1.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.266 * [taylor]: Taking taylor expansion of 0 in z
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [taylor]: Taking taylor expansion of 0 in z
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [taylor]: Taking taylor expansion of 0 in z
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify 1 into 1
1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.267 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.268 * [taylor]: Taking taylor expansion of 0 in y
1.268 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.270 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.270 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.270 * [taylor]: Taking taylor expansion of 1/2 in z
1.270 * [backup-simplify]: Simplify 1/2 into 1/2
1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.270 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.270 * [taylor]: Taking taylor expansion of z in z
1.270 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify 1 into 1
1.270 * [backup-simplify]: Simplify (* 1 1) into 1
1.271 * [backup-simplify]: Simplify (/ 1 1) into 1
1.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [taylor]: Taking taylor expansion of 0 in z
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [taylor]: Taking taylor expansion of 0 in z
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.274 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.274 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.275 * [backup-simplify]: Simplify (+ 0 0) into 0
1.275 * [backup-simplify]: Simplify (+ 0 0) into 0
1.276 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.276 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.276 * [taylor]: Taking taylor expansion of -1/2 in y
1.276 * [backup-simplify]: Simplify -1/2 into -1/2
1.276 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.276 * [taylor]: Taking taylor expansion of 1/4 in y
1.276 * [backup-simplify]: Simplify 1/4 into 1/4
1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.276 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.276 * [taylor]: Taking taylor expansion of z in y
1.276 * [backup-simplify]: Simplify z into z
1.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.276 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.276 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.276 * [taylor]: Taking taylor expansion of 1/2 in y
1.277 * [backup-simplify]: Simplify 1/2 into 1/2
1.277 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.277 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.277 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.277 * [taylor]: Taking taylor expansion of z in y
1.277 * [backup-simplify]: Simplify z into z
1.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.277 * [taylor]: Taking taylor expansion of y in y
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.277 * [backup-simplify]: Simplify (* 1 1) into 1
1.277 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.277 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.277 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.277 * [taylor]: Taking taylor expansion of 1/4 in y
1.277 * [backup-simplify]: Simplify 1/4 into 1/4
1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.277 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.277 * [taylor]: Taking taylor expansion of y in y
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.278 * [backup-simplify]: Simplify (* 1 1) into 1
1.278 * [backup-simplify]: Simplify (* 1 1) into 1
1.278 * [backup-simplify]: Simplify (/ 1 1) into 1
1.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.279 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.285 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.286 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.287 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.288 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.288 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.288 * [taylor]: Taking taylor expansion of 0 in z
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [taylor]: Taking taylor expansion of 0 in z
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.290 * [backup-simplify]: Simplify (+ 0 0) into 0
1.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.291 * [taylor]: Taking taylor expansion of 0 in z
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [taylor]: Taking taylor expansion of 0 in z
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [taylor]: Taking taylor expansion of 0 in z
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.293 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.293 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.293 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.293 * [taylor]: Taking taylor expansion of x in z
1.293 * [backup-simplify]: Simplify x into x
1.293 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.293 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.293 * [taylor]: Taking taylor expansion of z in z
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 1 into 1
1.293 * [backup-simplify]: Simplify (* 1 1) into 1
1.294 * [backup-simplify]: Simplify (/ 1 1) into 1
1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.294 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.294 * [taylor]: Taking taylor expansion of y in z
1.294 * [backup-simplify]: Simplify y into y
1.294 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.294 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.294 * [backup-simplify]: Simplify (+ 1 0) into 1
1.294 * [backup-simplify]: Simplify (+ 0 1) into 1
1.295 * [backup-simplify]: Simplify (sqrt 1) into 1
1.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.296 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.296 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.296 * [taylor]: Taking taylor expansion of x in y
1.296 * [backup-simplify]: Simplify x into x
1.296 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.297 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.297 * [taylor]: Taking taylor expansion of z in y
1.297 * [backup-simplify]: Simplify z into z
1.297 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.297 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.297 * [taylor]: Taking taylor expansion of y in y
1.297 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify 1 into 1
1.297 * [backup-simplify]: Simplify (* 1 1) into 1
1.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1.297 * [backup-simplify]: Simplify (+ 0 1) into 1
1.298 * [backup-simplify]: Simplify (+ 0 1) into 1
1.298 * [backup-simplify]: Simplify (sqrt 1) into 1
1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.300 * [taylor]: Taking taylor expansion of x in x
1.300 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify 1 into 1
1.300 * [backup-simplify]: Simplify (* 1 1) into 1
1.300 * [backup-simplify]: Simplify (/ 1 1) into 1
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.300 * [taylor]: Taking taylor expansion of z in x
1.300 * [backup-simplify]: Simplify z into z
1.300 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.300 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.300 * [taylor]: Taking taylor expansion of y in x
1.301 * [backup-simplify]: Simplify y into y
1.301 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.301 * [backup-simplify]: Simplify (+ 1 0) into 1
1.301 * [backup-simplify]: Simplify (sqrt 1) into 1
1.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.302 * [backup-simplify]: Simplify (+ 0 0) into 0
1.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.303 * [taylor]: Taking taylor expansion of x in x
1.303 * [backup-simplify]: Simplify 0 into 0
1.303 * [backup-simplify]: Simplify 1 into 1
1.303 * [backup-simplify]: Simplify (* 1 1) into 1
1.303 * [backup-simplify]: Simplify (/ 1 1) into 1
1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.303 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.303 * [taylor]: Taking taylor expansion of z in x
1.303 * [backup-simplify]: Simplify z into z
1.303 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.303 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.303 * [taylor]: Taking taylor expansion of y in x
1.303 * [backup-simplify]: Simplify y into y
1.304 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.304 * [backup-simplify]: Simplify (+ 1 0) into 1
1.304 * [backup-simplify]: Simplify (sqrt 1) into 1
1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.305 * [backup-simplify]: Simplify (+ 0 0) into 0
1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.306 * [taylor]: Taking taylor expansion of 1 in y
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [taylor]: Taking taylor expansion of 0 in y
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [taylor]: Taking taylor expansion of 1 in z
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.307 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.307 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.308 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.308 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.308 * [taylor]: Taking taylor expansion of 1/2 in y
1.308 * [backup-simplify]: Simplify 1/2 into 1/2
1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.308 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.308 * [taylor]: Taking taylor expansion of z in y
1.308 * [backup-simplify]: Simplify z into z
1.308 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.308 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.308 * [taylor]: Taking taylor expansion of y in y
1.308 * [backup-simplify]: Simplify 0 into 0
1.308 * [backup-simplify]: Simplify 1 into 1
1.309 * [backup-simplify]: Simplify (* 1 1) into 1
1.309 * [backup-simplify]: Simplify (/ 1 1) into 1
1.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.310 * [backup-simplify]: Simplify (+ 0 0) into 0
1.310 * [backup-simplify]: Simplify (+ 0 1) into 1
1.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.310 * [taylor]: Taking taylor expansion of 0 in z
1.310 * [backup-simplify]: Simplify 0 into 0
1.311 * [taylor]: Taking taylor expansion of 0 in z
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [taylor]: Taking taylor expansion of 0 in z
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify 1 into 1
1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.312 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.312 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.312 * [backup-simplify]: Simplify (+ 0 0) into 0
1.313 * [backup-simplify]: Simplify (+ 0 0) into 0
1.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.313 * [taylor]: Taking taylor expansion of 0 in y
1.313 * [backup-simplify]: Simplify 0 into 0
1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.314 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.315 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.315 * [taylor]: Taking taylor expansion of 1/2 in z
1.315 * [backup-simplify]: Simplify 1/2 into 1/2
1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.315 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.315 * [taylor]: Taking taylor expansion of z in z
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 1 into 1
1.315 * [backup-simplify]: Simplify (* 1 1) into 1
1.315 * [backup-simplify]: Simplify (/ 1 1) into 1
1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [taylor]: Taking taylor expansion of 0 in z
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [taylor]: Taking taylor expansion of 0 in z
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.318 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.319 * [backup-simplify]: Simplify (+ 0 0) into 0
1.319 * [backup-simplify]: Simplify (+ 0 0) into 0
1.320 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.320 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.320 * [taylor]: Taking taylor expansion of -1/2 in y
1.320 * [backup-simplify]: Simplify -1/2 into -1/2
1.321 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.321 * [taylor]: Taking taylor expansion of 1/4 in y
1.321 * [backup-simplify]: Simplify 1/4 into 1/4
1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.321 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.321 * [taylor]: Taking taylor expansion of z in y
1.321 * [backup-simplify]: Simplify z into z
1.321 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.321 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.321 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.321 * [taylor]: Taking taylor expansion of 1/2 in y
1.321 * [backup-simplify]: Simplify 1/2 into 1/2
1.321 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.321 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.321 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.321 * [taylor]: Taking taylor expansion of z in y
1.321 * [backup-simplify]: Simplify z into z
1.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.321 * [taylor]: Taking taylor expansion of y in y
1.321 * [backup-simplify]: Simplify 0 into 0
1.321 * [backup-simplify]: Simplify 1 into 1
1.321 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.321 * [backup-simplify]: Simplify (* 1 1) into 1
1.322 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.322 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.322 * [taylor]: Taking taylor expansion of 1/4 in y
1.322 * [backup-simplify]: Simplify 1/4 into 1/4
1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.322 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.322 * [taylor]: Taking taylor expansion of y in y
1.322 * [backup-simplify]: Simplify 0 into 0
1.322 * [backup-simplify]: Simplify 1 into 1
1.322 * [backup-simplify]: Simplify (* 1 1) into 1
1.322 * [backup-simplify]: Simplify (* 1 1) into 1
1.322 * [backup-simplify]: Simplify (/ 1 1) into 1
1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.323 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.323 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.334 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.334 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.335 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.335 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.336 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.336 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.337 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.337 * [taylor]: Taking taylor expansion of 0 in z
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [taylor]: Taking taylor expansion of 0 in z
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.339 * [backup-simplify]: Simplify (+ 0 0) into 0
1.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.340 * [taylor]: Taking taylor expansion of 0 in z
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [taylor]: Taking taylor expansion of 0 in z
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [taylor]: Taking taylor expansion of 0 in z
1.340 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.342 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.342 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) into (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.342 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.342 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.342 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.342 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.342 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.342 * [taylor]: Taking taylor expansion of x in z
1.342 * [backup-simplify]: Simplify x into x
1.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.342 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.342 * [taylor]: Taking taylor expansion of y in z
1.343 * [backup-simplify]: Simplify y into y
1.343 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.343 * [taylor]: Taking taylor expansion of z in z
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.343 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.343 * [taylor]: Taking taylor expansion of x in y
1.343 * [backup-simplify]: Simplify x into x
1.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.343 * [taylor]: Taking taylor expansion of y in y
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.343 * [taylor]: Taking taylor expansion of z in y
1.343 * [backup-simplify]: Simplify z into z
1.343 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.343 * [taylor]: Taking taylor expansion of x in x
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.343 * [taylor]: Taking taylor expansion of y in x
1.343 * [backup-simplify]: Simplify y into y
1.343 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.343 * [taylor]: Taking taylor expansion of z in x
1.343 * [backup-simplify]: Simplify z into z
1.343 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.343 * [taylor]: Taking taylor expansion of x in x
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.343 * [taylor]: Taking taylor expansion of y in x
1.343 * [backup-simplify]: Simplify y into y
1.343 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.343 * [taylor]: Taking taylor expansion of z in x
1.343 * [backup-simplify]: Simplify z into z
1.344 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.344 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.344 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.344 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.344 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
1.344 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
1.344 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.344 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.344 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.344 * [taylor]: Taking taylor expansion of y in y
1.344 * [backup-simplify]: Simplify 0 into 0
1.344 * [backup-simplify]: Simplify 1 into 1
1.344 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.344 * [taylor]: Taking taylor expansion of z in y
1.344 * [backup-simplify]: Simplify z into z
1.344 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.344 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.345 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
1.345 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
1.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.345 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.345 * [taylor]: Taking taylor expansion of z in z
1.345 * [backup-simplify]: Simplify 0 into 0
1.345 * [backup-simplify]: Simplify 1 into 1
1.345 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.345 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
1.346 * [taylor]: Taking taylor expansion of 0 in y
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [taylor]: Taking taylor expansion of 0 in z
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.347 * [backup-simplify]: Simplify (+ 0 0) into 0
1.347 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
1.347 * [taylor]: Taking taylor expansion of 0 in z
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify (* 1 1) into 1
1.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.348 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.348 * [backup-simplify]: Simplify (+ 1 0) into 1
1.349 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
1.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.349 * [taylor]: Taking taylor expansion of 0 in z
1.349 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify 0 into 0
1.350 * [backup-simplify]: Simplify (* 1 1) into 1
1.350 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.350 * [backup-simplify]: Simplify (+ 1 0) into 1
1.351 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
1.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.351 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.351 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.351 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify (* 1 1) into 1
1.351 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.352 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.352 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
1.353 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.0)) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.353 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.353 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.353 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.353 * [taylor]: Taking taylor expansion of x in z
1.353 * [backup-simplify]: Simplify x into x
1.353 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.353 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.353 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.353 * [taylor]: Taking taylor expansion of z in z
1.353 * [backup-simplify]: Simplify 0 into 0
1.353 * [backup-simplify]: Simplify 1 into 1
1.353 * [backup-simplify]: Simplify (* 1 1) into 1
1.354 * [backup-simplify]: Simplify (/ 1 1) into 1
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.354 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.354 * [taylor]: Taking taylor expansion of y in z
1.354 * [backup-simplify]: Simplify y into y
1.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.354 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.354 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.354 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.354 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.354 * [taylor]: Taking taylor expansion of x in y
1.354 * [backup-simplify]: Simplify x into x
1.354 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.354 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.354 * [taylor]: Taking taylor expansion of z in y
1.354 * [backup-simplify]: Simplify z into z
1.354 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.354 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.354 * [taylor]: Taking taylor expansion of y in y
1.354 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify 1 into 1
1.355 * [backup-simplify]: Simplify (* 1 1) into 1
1.355 * [backup-simplify]: Simplify (/ 1 1) into 1
1.355 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.355 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.355 * [taylor]: Taking taylor expansion of x in x
1.355 * [backup-simplify]: Simplify 0 into 0
1.355 * [backup-simplify]: Simplify 1 into 1
1.355 * [backup-simplify]: Simplify (* 1 1) into 1
1.355 * [backup-simplify]: Simplify (/ 1 1) into 1
1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.356 * [taylor]: Taking taylor expansion of z in x
1.356 * [backup-simplify]: Simplify z into z
1.356 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.356 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.356 * [taylor]: Taking taylor expansion of y in x
1.356 * [backup-simplify]: Simplify y into y
1.356 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.356 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.356 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.356 * [taylor]: Taking taylor expansion of x in x
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [backup-simplify]: Simplify (* 1 1) into 1
1.357 * [backup-simplify]: Simplify (/ 1 1) into 1
1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.357 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.357 * [taylor]: Taking taylor expansion of z in x
1.357 * [backup-simplify]: Simplify z into z
1.357 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.357 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.357 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.357 * [taylor]: Taking taylor expansion of y in x
1.357 * [backup-simplify]: Simplify y into y
1.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.357 * [backup-simplify]: Simplify (+ 1 0) into 1
1.358 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.359 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
1.359 * [taylor]: Taking taylor expansion of 0 in y
1.359 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.360 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.360 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.361 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2))))
1.361 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y
1.361 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
1.361 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.361 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.361 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.361 * [taylor]: Taking taylor expansion of z in y
1.361 * [backup-simplify]: Simplify z into z
1.361 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.361 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.361 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
1.361 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.361 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.362 * [taylor]: Taking taylor expansion of y in y
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (* 1 1) into 1
1.362 * [backup-simplify]: Simplify (/ 1 1) into 1
1.362 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.363 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
1.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.363 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.363 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.364 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
1.366 * [taylor]: Taking taylor expansion of 0 in y
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.367 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
1.367 * [backup-simplify]: Simplify (+ 0 0) into 0
1.367 * [taylor]: Taking taylor expansion of 0 in z
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [taylor]: Taking taylor expansion of 0 in z
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [taylor]: Taking taylor expansion of 0 in z
1.367 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.369 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1.371 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0
1.371 * [taylor]: Taking taylor expansion of 0 in y
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.373 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
1.373 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2)))
1.373 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
1.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.373 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.373 * [taylor]: Taking taylor expansion of z in z
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [backup-simplify]: Simplify (* 1 1) into 1
1.373 * [backup-simplify]: Simplify (/ 1 1) into 1
1.374 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.374 * [taylor]: Taking taylor expansion of 0 in z
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [taylor]: Taking taylor expansion of 0 in z
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.374 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
1.375 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0)) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.375 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.375 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.375 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.375 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.375 * [taylor]: Taking taylor expansion of x in z
1.375 * [backup-simplify]: Simplify x into x
1.375 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.375 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.375 * [taylor]: Taking taylor expansion of z in z
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.376 * [backup-simplify]: Simplify (* 1 1) into 1
1.376 * [backup-simplify]: Simplify (/ 1 1) into 1
1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.376 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.376 * [taylor]: Taking taylor expansion of y in z
1.376 * [backup-simplify]: Simplify y into y
1.376 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.376 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.376 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.376 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.376 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.376 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.376 * [taylor]: Taking taylor expansion of x in y
1.376 * [backup-simplify]: Simplify x into x
1.376 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.376 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.377 * [taylor]: Taking taylor expansion of z in y
1.377 * [backup-simplify]: Simplify z into z
1.377 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.377 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.377 * [taylor]: Taking taylor expansion of y in y
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (* 1 1) into 1
1.377 * [backup-simplify]: Simplify (/ 1 1) into 1
1.377 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.377 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.377 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.377 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.377 * [taylor]: Taking taylor expansion of x in x
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.378 * [backup-simplify]: Simplify (* 1 1) into 1
1.378 * [backup-simplify]: Simplify (/ 1 1) into 1
1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.378 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.378 * [taylor]: Taking taylor expansion of z in x
1.378 * [backup-simplify]: Simplify z into z
1.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.378 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.378 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.378 * [taylor]: Taking taylor expansion of y in x
1.378 * [backup-simplify]: Simplify y into y
1.378 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.378 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.378 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.378 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.378 * [taylor]: Taking taylor expansion of x in x
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify 1 into 1
1.379 * [backup-simplify]: Simplify (* 1 1) into 1
1.379 * [backup-simplify]: Simplify (/ 1 1) into 1
1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.379 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.379 * [taylor]: Taking taylor expansion of z in x
1.379 * [backup-simplify]: Simplify z into z
1.379 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.379 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.379 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.379 * [taylor]: Taking taylor expansion of y in x
1.379 * [backup-simplify]: Simplify y into y
1.379 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.379 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.380 * [backup-simplify]: Simplify (+ 1 0) into 1
1.380 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.380 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.380 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
1.381 * [taylor]: Taking taylor expansion of 0 in y
1.381 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.383 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.383 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.383 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2))))
1.383 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y
1.383 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
1.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.384 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.384 * [taylor]: Taking taylor expansion of z in y
1.384 * [backup-simplify]: Simplify z into z
1.384 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.384 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.384 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
1.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.384 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.384 * [taylor]: Taking taylor expansion of y in y
1.384 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify 1 into 1
1.384 * [backup-simplify]: Simplify (* 1 1) into 1
1.384 * [backup-simplify]: Simplify (/ 1 1) into 1
1.385 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.385 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
1.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.386 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.386 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1.388 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
1.388 * [taylor]: Taking taylor expansion of 0 in y
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.389 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
1.389 * [backup-simplify]: Simplify (+ 0 0) into 0
1.389 * [taylor]: Taking taylor expansion of 0 in z
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [taylor]: Taking taylor expansion of 0 in z
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [taylor]: Taking taylor expansion of 0 in z
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.391 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.392 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.392 * [backup-simplify]: Simplify (+ 0 0) into 0
1.392 * [backup-simplify]: Simplify (+ 0 0) into 0
1.393 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0
1.393 * [taylor]: Taking taylor expansion of 0 in y
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.395 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
1.395 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2)))
1.395 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
1.395 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.395 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.395 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.395 * [taylor]: Taking taylor expansion of z in z
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 1 into 1
1.395 * [backup-simplify]: Simplify (* 1 1) into 1
1.396 * [backup-simplify]: Simplify (/ 1 1) into 1
1.396 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
1.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.396 * [taylor]: Taking taylor expansion of 0 in z
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [taylor]: Taking taylor expansion of 0 in z
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.396 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.397 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
1.397 * * * [progress]: simplifying candidates
1.399 * [simplify]: Simplifying:
  (log (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (exp (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (cbrt (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))
  (cbrt (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (* (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) 3.0))
  (sqrt (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* (sqrt (- (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt 3.0)
  (sqrt (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))
  (sqrt (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (sqrt (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0)))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (* (* (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 (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 3.0 3.0) 3.0)))
  (* (* (* (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))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) 3.0)
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (- (+ (* x x) (* y y)) (* z z))) 3.0)
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt 1) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt 1) 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 1 (sqrt 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 1 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2))))
1.400 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (exp (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (* (cbrt (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))) (cbrt (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))))
 (cbrt (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (* (* (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))) (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))) (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (sqrt (* (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (* (sqrt (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) h0))
 (sqrt (* (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (* (sqrt (- (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt h0)
 (sqrt (* (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (sqrt (sqrt (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1))))))
 (sqrt (* (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (sqrt (sqrt (- (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (sqrt (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (log (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (exp (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (log (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (exp (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1)))))
 (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (+ (* h3 h3) (* h2 h2)) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (+ (log (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (- (log (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (log h0)))
 (+ (log (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (log (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (log (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (exp (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (* h0 h0) h0)))
 (* (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (* (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (cbrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))) (cbrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (cbrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (* (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)) (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))) (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (sqrt (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (sqrt (+ (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) h0)
 (* (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (sqrt (- (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (* (cbrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)) (cbrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (* (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))) 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt 1) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt 1) 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ 1 (* (cbrt h0) (cbrt h0))))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ 1 (sqrt h0)))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ 1 1))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) 1)
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (cbrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))))
 (* (sqrt (+ (pow (+ (* h3 h3) (* h2 h2)) 3) (pow (* h1 h1) 3))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* (sqrt (- (* (+ (* h3 h3) (* h2 h2)) (+ (* h3 h3) (* h2 h2))) (* (* h1 h1) (* h1 h1)))) (/ (sqrt (+ (+ (* h3 h3) (* h2 h2)) (* h1 h1))) h0))
 (* h1 (sqrt h4))
 (* h3 (sqrt h4))
 (* -1 (* h3 (sqrt h4)))
 h1
 h3
 (* -1 h3)
 h1
 h3
 (* -1 h3)
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
 (+ (* h4 (pow h3 2)) (+ (* h4 (pow h2 2)) (* h4 (pow h1 2))))
1.444 * * * [progress]: adding candidates to table
1.718 * * [progress]: iteration 3 / 4
1.718 * * * [progress]: picking best candidate
1.727 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
1.727 * * * [progress]: localizing error
1.740 * * * [progress]: generating rewritten candidates
1.740 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
1.775 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
1.859 * * * [progress]: generating series expansions
1.859 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
1.859 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
1.859 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.859 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.859 * [taylor]: Taking taylor expansion of x in z
1.859 * [backup-simplify]: Simplify x into x
1.859 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.859 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.859 * [taylor]: Taking taylor expansion of y in z
1.859 * [backup-simplify]: Simplify y into y
1.859 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.859 * [taylor]: Taking taylor expansion of z in z
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.859 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.859 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.860 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.860 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.860 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.860 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.860 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.861 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.861 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.861 * [taylor]: Taking taylor expansion of x in y
1.861 * [backup-simplify]: Simplify x into x
1.861 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.861 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.861 * [taylor]: Taking taylor expansion of y in y
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 1 into 1
1.861 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.861 * [taylor]: Taking taylor expansion of z in y
1.861 * [backup-simplify]: Simplify z into z
1.861 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.861 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.861 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.861 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.861 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.861 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.862 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.862 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.862 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.862 * [taylor]: Taking taylor expansion of x in x
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.862 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.862 * [taylor]: Taking taylor expansion of y in x
1.862 * [backup-simplify]: Simplify y into y
1.862 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.862 * [taylor]: Taking taylor expansion of z in x
1.862 * [backup-simplify]: Simplify z into z
1.862 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.863 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.863 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.863 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.863 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.863 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.863 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.864 * [taylor]: Taking taylor expansion of x in x
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.864 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.864 * [taylor]: Taking taylor expansion of y in x
1.864 * [backup-simplify]: Simplify y into y
1.864 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.864 * [taylor]: Taking taylor expansion of z in x
1.864 * [backup-simplify]: Simplify z into z
1.864 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.864 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.864 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.864 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.864 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.865 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.865 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.865 * [taylor]: Taking taylor expansion of y in y
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.866 * [taylor]: Taking taylor expansion of z in y
1.866 * [backup-simplify]: Simplify z into z
1.866 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.866 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.866 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.866 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.866 * [taylor]: Taking taylor expansion of z in z
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in y
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in z
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in z
1.866 * [backup-simplify]: Simplify 0 into 0
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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.867 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.867 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (+ 1 0) into 1
1.868 * [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)))))
1.868 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.868 * [taylor]: Taking taylor expansion of 1/2 in y
1.868 * [backup-simplify]: Simplify 1/2 into 1/2
1.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.868 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.868 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.868 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.868 * [taylor]: Taking taylor expansion of y in y
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.869 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.869 * [taylor]: Taking taylor expansion of z in y
1.869 * [backup-simplify]: Simplify z into z
1.869 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.869 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.869 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.869 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.869 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.869 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.870 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.870 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.870 * [taylor]: Taking taylor expansion of 1/2 in z
1.870 * [backup-simplify]: Simplify 1/2 into 1/2
1.870 * [taylor]: Taking taylor expansion of z in z
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [taylor]: Taking taylor expansion of 0 in z
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify (* 1 1) into 1
1.871 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.871 * [backup-simplify]: Simplify (+ 1 0) into 1
1.872 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.872 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.872 * [taylor]: Taking taylor expansion of 1/2 in z
1.872 * [backup-simplify]: Simplify 1/2 into 1/2
1.872 * [taylor]: Taking taylor expansion of z in z
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.873 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.873 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.873 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.873 * [taylor]: Taking taylor expansion of x in z
1.873 * [backup-simplify]: Simplify x into x
1.873 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.873 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.873 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.873 * [taylor]: Taking taylor expansion of z in z
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.874 * [backup-simplify]: Simplify (* 1 1) into 1
1.874 * [backup-simplify]: Simplify (/ 1 1) into 1
1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.874 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.874 * [taylor]: Taking taylor expansion of y in z
1.874 * [backup-simplify]: Simplify y into y
1.874 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.874 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.874 * [backup-simplify]: Simplify (+ 1 0) into 1
1.875 * [backup-simplify]: Simplify (+ 0 1) into 1
1.875 * [backup-simplify]: Simplify (sqrt 1) into 1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.877 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.877 * [taylor]: Taking taylor expansion of x in y
1.877 * [backup-simplify]: Simplify x into x
1.877 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.877 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.877 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.877 * [taylor]: Taking taylor expansion of z in y
1.877 * [backup-simplify]: Simplify z into z
1.877 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.877 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.877 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.877 * [taylor]: Taking taylor expansion of y in y
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (* 1 1) into 1
1.878 * [backup-simplify]: Simplify (/ 1 1) into 1
1.878 * [backup-simplify]: Simplify (+ 0 1) into 1
1.878 * [backup-simplify]: Simplify (+ 0 1) into 1
1.878 * [backup-simplify]: Simplify (sqrt 1) into 1
1.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.880 * [taylor]: Taking taylor expansion of x in x
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (* 1 1) into 1
1.881 * [backup-simplify]: Simplify (/ 1 1) into 1
1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.881 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.881 * [taylor]: Taking taylor expansion of z in x
1.881 * [backup-simplify]: Simplify z into z
1.881 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.881 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.881 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.881 * [taylor]: Taking taylor expansion of y in x
1.881 * [backup-simplify]: Simplify y into y
1.881 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.881 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.881 * [backup-simplify]: Simplify (+ 1 0) into 1
1.882 * [backup-simplify]: Simplify (sqrt 1) into 1
1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.883 * [taylor]: Taking taylor expansion of x in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (* 1 1) into 1
1.884 * [backup-simplify]: Simplify (/ 1 1) into 1
1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.884 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.884 * [taylor]: Taking taylor expansion of z in x
1.884 * [backup-simplify]: Simplify z into z
1.884 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.884 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.884 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.884 * [taylor]: Taking taylor expansion of y in x
1.884 * [backup-simplify]: Simplify y into y
1.884 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.884 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.884 * [backup-simplify]: Simplify (+ 1 0) into 1
1.884 * [backup-simplify]: Simplify (sqrt 1) into 1
1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.886 * [taylor]: Taking taylor expansion of 1 in y
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [taylor]: Taking taylor expansion of 0 in y
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [taylor]: Taking taylor expansion of 1 in z
1.886 * [backup-simplify]: Simplify 1 into 1
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.887 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.887 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.888 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.888 * [taylor]: Taking taylor expansion of 1/2 in y
1.888 * [backup-simplify]: Simplify 1/2 into 1/2
1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.888 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.888 * [taylor]: Taking taylor expansion of z in y
1.888 * [backup-simplify]: Simplify z into z
1.889 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.889 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.889 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.889 * [taylor]: Taking taylor expansion of y in y
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.889 * [backup-simplify]: Simplify (* 1 1) into 1
1.889 * [backup-simplify]: Simplify (/ 1 1) into 1
1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.890 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (+ 0 1) into 1
1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.891 * [taylor]: Taking taylor expansion of 0 in z
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [taylor]: Taking taylor expansion of 0 in z
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [taylor]: Taking taylor expansion of 0 in z
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.892 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.893 * [taylor]: Taking taylor expansion of 0 in y
1.893 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.895 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.895 * [taylor]: Taking taylor expansion of 1/2 in z
1.895 * [backup-simplify]: Simplify 1/2 into 1/2
1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.895 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.895 * [taylor]: Taking taylor expansion of z in z
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 1 into 1
1.895 * [backup-simplify]: Simplify (* 1 1) into 1
1.896 * [backup-simplify]: Simplify (/ 1 1) into 1
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [taylor]: Taking taylor expansion of 0 in z
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [taylor]: Taking taylor expansion of 0 in z
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.903 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.904 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.904 * [taylor]: Taking taylor expansion of -1/2 in y
1.904 * [backup-simplify]: Simplify -1/2 into -1/2
1.904 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.904 * [taylor]: Taking taylor expansion of 1/4 in y
1.904 * [backup-simplify]: Simplify 1/4 into 1/4
1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.905 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.905 * [taylor]: Taking taylor expansion of z in y
1.905 * [backup-simplify]: Simplify z into z
1.905 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.905 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.905 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.905 * [taylor]: Taking taylor expansion of 1/2 in y
1.905 * [backup-simplify]: Simplify 1/2 into 1/2
1.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.905 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.905 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.905 * [taylor]: Taking taylor expansion of z in y
1.905 * [backup-simplify]: Simplify z into z
1.905 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.905 * [taylor]: Taking taylor expansion of y in y
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.905 * [backup-simplify]: Simplify (* 1 1) into 1
1.905 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.905 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.906 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.906 * [taylor]: Taking taylor expansion of 1/4 in y
1.906 * [backup-simplify]: Simplify 1/4 into 1/4
1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.906 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.906 * [taylor]: Taking taylor expansion of y in y
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (/ 1 1) into 1
1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.907 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.914 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.914 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.915 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.915 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.916 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.916 * [taylor]: Taking taylor expansion of 0 in z
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [taylor]: Taking taylor expansion of 0 in z
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.918 * [taylor]: Taking taylor expansion of 0 in z
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [taylor]: Taking taylor expansion of 0 in z
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [taylor]: Taking taylor expansion of 0 in z
1.918 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.920 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
1.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.920 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.921 * [taylor]: Taking taylor expansion of x in z
1.921 * [backup-simplify]: Simplify x into x
1.921 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.921 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.921 * [taylor]: Taking taylor expansion of z in z
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [backup-simplify]: Simplify (* 1 1) into 1
1.921 * [backup-simplify]: Simplify (/ 1 1) into 1
1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.921 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.921 * [taylor]: Taking taylor expansion of y in z
1.921 * [backup-simplify]: Simplify y into y
1.921 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.921 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.922 * [backup-simplify]: Simplify (+ 1 0) into 1
1.922 * [backup-simplify]: Simplify (+ 0 1) into 1
1.922 * [backup-simplify]: Simplify (sqrt 1) into 1
1.923 * [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 0) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.924 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.924 * [taylor]: Taking taylor expansion of x in y
1.924 * [backup-simplify]: Simplify x into x
1.924 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.924 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.924 * [taylor]: Taking taylor expansion of z in y
1.924 * [backup-simplify]: Simplify z into z
1.924 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.924 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.924 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.924 * [taylor]: Taking taylor expansion of y in y
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.925 * [backup-simplify]: Simplify (* 1 1) into 1
1.925 * [backup-simplify]: Simplify (/ 1 1) into 1
1.925 * [backup-simplify]: Simplify (+ 0 1) into 1
1.925 * [backup-simplify]: Simplify (+ 0 1) into 1
1.926 * [backup-simplify]: Simplify (sqrt 1) into 1
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.927 * [taylor]: Taking taylor expansion of x in x
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.928 * [taylor]: Taking taylor expansion of z in x
1.928 * [backup-simplify]: Simplify z into z
1.928 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.928 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.928 * [taylor]: Taking taylor expansion of y in x
1.928 * [backup-simplify]: Simplify y into y
1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.928 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (sqrt 1) into 1
1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.930 * [taylor]: Taking taylor expansion of x in x
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 z 2)) (/ 1 (pow y 2))) in x
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.931 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.931 * [taylor]: Taking taylor expansion of z in x
1.931 * [backup-simplify]: Simplify z into z
1.931 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.931 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.931 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.931 * [taylor]: Taking taylor expansion of y in x
1.931 * [backup-simplify]: Simplify y into y
1.931 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.931 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.931 * [backup-simplify]: Simplify (+ 1 0) into 1
1.932 * [backup-simplify]: Simplify (sqrt 1) into 1
1.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ 0 0) into 0
1.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.933 * [taylor]: Taking taylor expansion of 1 in y
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [taylor]: Taking taylor expansion of 0 in y
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [taylor]: Taking taylor expansion of 1 in z
1.933 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.934 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
1.935 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
1.935 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.935 * [taylor]: Taking taylor expansion of 1/2 in y
1.935 * [backup-simplify]: Simplify 1/2 into 1/2
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.935 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.935 * [taylor]: Taking taylor expansion of z in y
1.936 * [backup-simplify]: Simplify z into z
1.936 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.936 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.936 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.936 * [taylor]: Taking taylor expansion of y in y
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.936 * [backup-simplify]: Simplify (* 1 1) into 1
1.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.937 * [backup-simplify]: Simplify (+ 0 0) into 0
1.937 * [backup-simplify]: Simplify (+ 0 1) into 1
1.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.938 * [taylor]: Taking taylor expansion of 0 in z
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [taylor]: Taking taylor expansion of 0 in z
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [taylor]: Taking taylor expansion of 0 in z
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.939 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.939 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.940 * [taylor]: Taking taylor expansion of 0 in y
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
1.942 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.942 * [taylor]: Taking taylor expansion of 1/2 in z
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.942 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.942 * [taylor]: Taking taylor expansion of z in z
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.943 * [backup-simplify]: Simplify (/ 1 1) into 1
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 (+ (* 1/2 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [taylor]: Taking taylor expansion of 0 in z
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [taylor]: Taking taylor expansion of 0 in z
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [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
1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.946 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
1.948 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
1.948 * [taylor]: Taking taylor expansion of -1/2 in y
1.948 * [backup-simplify]: Simplify -1/2 into -1/2
1.948 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
1.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.948 * [taylor]: Taking taylor expansion of 1/4 in y
1.948 * [backup-simplify]: Simplify 1/4 into 1/4
1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.948 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.948 * [taylor]: Taking taylor expansion of z in y
1.948 * [backup-simplify]: Simplify z into z
1.948 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.948 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.948 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.948 * [taylor]: Taking taylor expansion of 1/2 in y
1.948 * [backup-simplify]: Simplify 1/2 into 1/2
1.948 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.948 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.948 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.948 * [taylor]: Taking taylor expansion of z in y
1.948 * [backup-simplify]: Simplify z into z
1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.948 * [taylor]: Taking taylor expansion of y in y
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.949 * [backup-simplify]: Simplify (* 1 1) into 1
1.949 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.949 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.949 * [taylor]: Taking taylor expansion of 1/4 in y
1.949 * [backup-simplify]: Simplify 1/4 into 1/4
1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.949 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.949 * [taylor]: Taking taylor expansion of y in y
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (* 1 1) into 1
1.949 * [backup-simplify]: Simplify (* 1 1) into 1
1.950 * [backup-simplify]: Simplify (/ 1 1) into 1
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.950 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.957 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.957 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
1.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.959 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.959 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.960 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.960 * [taylor]: Taking taylor expansion of 0 in z
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [taylor]: Taking taylor expansion of 0 in z
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.962 * [taylor]: Taking taylor expansion of 0 in z
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [taylor]: Taking taylor expansion of 0 in z
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [taylor]: Taking taylor expansion of 0 in z
1.962 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.964 * * * * [progress]: [ 2 / 2 ] generating series at (2)
1.965 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))
1.965 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
1.965 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.965 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.965 * [taylor]: Taking taylor expansion of x in z
1.965 * [backup-simplify]: Simplify x into x
1.965 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.965 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.965 * [taylor]: Taking taylor expansion of y in z
1.965 * [backup-simplify]: Simplify y into y
1.965 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.965 * [taylor]: Taking taylor expansion of z in z
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.965 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.965 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.965 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.965 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.965 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.966 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.966 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.966 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.967 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
1.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.967 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.967 * [taylor]: Taking taylor expansion of x in y
1.967 * [backup-simplify]: Simplify x into x
1.967 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.967 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.967 * [taylor]: Taking taylor expansion of y in y
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.967 * [taylor]: Taking taylor expansion of z in y
1.967 * [backup-simplify]: Simplify z into z
1.967 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.967 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.967 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.967 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.968 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.968 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.968 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.968 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.968 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.968 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.969 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.969 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
1.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.969 * [taylor]: Taking taylor expansion of x in x
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.969 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.969 * [taylor]: Taking taylor expansion of y in x
1.969 * [backup-simplify]: Simplify y into y
1.969 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.969 * [taylor]: Taking taylor expansion of z in x
1.969 * [backup-simplify]: Simplify z into z
1.969 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.969 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.970 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.970 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.970 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.970 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.971 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
1.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.971 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.971 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.971 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.972 * [taylor]: Taking taylor expansion of x in x
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.972 * [taylor]: Taking taylor expansion of y in x
1.972 * [backup-simplify]: Simplify y into y
1.972 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.972 * [taylor]: Taking taylor expansion of z in x
1.972 * [backup-simplify]: Simplify z into z
1.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.972 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.972 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.972 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
1.972 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.972 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.973 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
1.973 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
1.973 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.973 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.974 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
1.974 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.974 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.974 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.974 * [taylor]: Taking taylor expansion of y in y
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.974 * [taylor]: Taking taylor expansion of z in y
1.974 * [backup-simplify]: Simplify z into z
1.974 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.975 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.975 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.975 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.975 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.975 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.975 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.976 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
1.976 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) 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
1.976 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.976 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.976 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.976 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.977 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
1.977 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.978 * [taylor]: Taking taylor expansion of 0 in y
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [taylor]: Taking taylor expansion of 0 in z
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.978 * [taylor]: Taking taylor expansion of 0 in z
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
1.980 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.981 * [backup-simplify]: Simplify (* 1 1) into 1
1.981 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.981 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [backup-simplify]: Simplify (+ 1 0) into 1
1.982 * [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)))))
1.983 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
1.983 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
1.983 * [taylor]: Taking taylor expansion of 1/2 in y
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
1.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.983 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.983 * [taylor]: Taking taylor expansion of y in y
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.983 * [taylor]: Taking taylor expansion of z in y
1.983 * [backup-simplify]: Simplify z into z
1.983 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.983 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.984 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.984 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.984 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.984 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.984 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
1.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
1.984 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.985 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.985 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
1.986 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
1.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
1.986 * [taylor]: Taking taylor expansion of 1/2 in z
1.986 * [backup-simplify]: Simplify 1/2 into 1/2
1.986 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
1.986 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.986 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.986 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.986 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.986 * [taylor]: Taking taylor expansion of z in z
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
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 0 into 0
1.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.994 * [backup-simplify]: Simplify (* 1 1) into 1
1.994 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.995 * [backup-simplify]: Simplify (+ 1 0) into 1
1.995 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.996 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
1.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
1.996 * [taylor]: Taking taylor expansion of 1/2 in z
1.996 * [backup-simplify]: Simplify 1/2 into 1/2
1.996 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
1.996 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
1.996 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
1.996 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.996 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
1.997 * [taylor]: Taking taylor expansion of z in z
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.997 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
1.999 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
2.001 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
2.001 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.001 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.001 * [taylor]: Taking taylor expansion of x in z
2.001 * [backup-simplify]: Simplify x into x
2.001 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.001 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.001 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.001 * [taylor]: Taking taylor expansion of z in z
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (* 1 1) into 1
2.002 * [backup-simplify]: Simplify (/ 1 1) into 1
2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.002 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.002 * [taylor]: Taking taylor expansion of y in z
2.002 * [backup-simplify]: Simplify y into y
2.002 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.002 * [backup-simplify]: Simplify (+ 1 0) into 1
2.003 * [backup-simplify]: Simplify (+ 0 1) into 1
2.003 * [backup-simplify]: Simplify (sqrt 1) into 1
2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.005 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.005 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.005 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
2.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.005 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.005 * [taylor]: Taking taylor expansion of x in y
2.005 * [backup-simplify]: Simplify x into x
2.005 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.006 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.006 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.006 * [taylor]: Taking taylor expansion of z in y
2.006 * [backup-simplify]: Simplify z into z
2.006 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.006 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.006 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.006 * [taylor]: Taking taylor expansion of y in y
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 1 into 1
2.006 * [backup-simplify]: Simplify (* 1 1) into 1
2.006 * [backup-simplify]: Simplify (/ 1 1) into 1
2.007 * [backup-simplify]: Simplify (+ 0 1) into 1
2.007 * [backup-simplify]: Simplify (+ 0 1) into 1
2.007 * [backup-simplify]: Simplify (sqrt 1) into 1
2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.009 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.009 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.009 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.009 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.009 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.009 * [taylor]: Taking taylor expansion of x in x
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (* 1 1) into 1
2.010 * [backup-simplify]: Simplify (/ 1 1) into 1
2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.010 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.010 * [taylor]: Taking taylor expansion of z in x
2.010 * [backup-simplify]: Simplify z into z
2.010 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.010 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.010 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.010 * [taylor]: Taking taylor expansion of y in x
2.010 * [backup-simplify]: Simplify y into y
2.010 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.011 * [backup-simplify]: Simplify (+ 1 0) into 1
2.011 * [backup-simplify]: Simplify (sqrt 1) into 1
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (+ 0 0) into 0
2.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.012 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.012 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.013 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.013 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.013 * [taylor]: Taking taylor expansion of x in x
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (* 1 1) into 1
2.014 * [backup-simplify]: Simplify (/ 1 1) into 1
2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.014 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.014 * [taylor]: Taking taylor expansion of z in x
2.014 * [backup-simplify]: Simplify z into z
2.014 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.014 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.014 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.014 * [taylor]: Taking taylor expansion of y in x
2.014 * [backup-simplify]: Simplify y into y
2.014 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.014 * [backup-simplify]: Simplify (+ 1 0) into 1
2.015 * [backup-simplify]: Simplify (sqrt 1) into 1
2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.016 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.016 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.016 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.016 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.017 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
2.017 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.017 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.017 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.018 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.018 * [taylor]: Taking taylor expansion of 0 in y
2.018 * [backup-simplify]: Simplify 0 into 0
2.019 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.019 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.021 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.022 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
2.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
2.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
2.023 * [taylor]: Taking taylor expansion of 1/2 in y
2.023 * [backup-simplify]: Simplify 1/2 into 1/2
2.023 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
2.023 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.023 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.024 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.024 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.024 * [taylor]: Taking taylor expansion of z in y
2.024 * [backup-simplify]: Simplify z into z
2.024 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.024 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
2.024 * [taylor]: Taking taylor expansion of 1/2 in y
2.024 * [backup-simplify]: Simplify 1/2 into 1/2
2.024 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
2.024 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.025 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.025 * [taylor]: Taking taylor expansion of y in y
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [taylor]: Taking taylor expansion of 0 in z
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [taylor]: Taking taylor expansion of 0 in z
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [taylor]: Taking taylor expansion of 0 in z
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.030 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.030 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.030 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.032 * [taylor]: Taking taylor expansion of 0 in y
2.032 * [backup-simplify]: Simplify 0 into 0
2.033 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.035 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
2.035 * [taylor]: Taking taylor expansion of 1/2 in z
2.035 * [backup-simplify]: Simplify 1/2 into 1/2
2.035 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
2.035 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.035 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.036 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.036 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.036 * [taylor]: Taking taylor expansion of z in z
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.037 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [taylor]: Taking taylor expansion of 0 in z
2.038 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.039 * [taylor]: Taking taylor expansion of 0 in z
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.042 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
2.046 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
2.046 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
2.046 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
2.046 * [taylor]: Taking taylor expansion of 1/8 in y
2.046 * [backup-simplify]: Simplify 1/8 into 1/8
2.046 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
2.046 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.046 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.046 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.046 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.047 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.047 * [taylor]: Taking taylor expansion of z in y
2.047 * [backup-simplify]: Simplify z into z
2.047 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.047 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.047 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
2.047 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
2.047 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
2.047 * [taylor]: Taking taylor expansion of 1/4 in y
2.047 * [backup-simplify]: Simplify 1/4 into 1/4
2.047 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
2.047 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.047 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.047 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.048 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.048 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.048 * [taylor]: Taking taylor expansion of z in y
2.048 * [backup-simplify]: Simplify z into z
2.048 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.048 * [taylor]: Taking taylor expansion of y in y
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 1 into 1
2.048 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.048 * [backup-simplify]: Simplify (* 1 1) into 1
2.048 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.049 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.049 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
2.049 * [taylor]: Taking taylor expansion of 1/8 in y
2.049 * [backup-simplify]: Simplify 1/8 into 1/8
2.049 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
2.049 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.049 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.049 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.049 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.050 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.050 * [taylor]: Taking taylor expansion of y in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [backup-simplify]: Simplify (* 1 1) into 1
2.050 * [backup-simplify]: Simplify (* 1 1) into 1
2.051 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.051 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.052 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.052 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.059 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (- 0) into 0
2.060 * [taylor]: Taking taylor expansion of 0 in z
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [taylor]: Taking taylor expansion of 0 in z
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.061 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [taylor]: Taking taylor expansion of 0 in z
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [taylor]: Taking taylor expansion of 0 in z
2.064 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.065 * [taylor]: Taking taylor expansion of 0 in z
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.067 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
2.068 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
2.068 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.068 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.069 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.069 * [taylor]: Taking taylor expansion of x in z
2.069 * [backup-simplify]: Simplify x into x
2.069 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.069 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.069 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.069 * [taylor]: Taking taylor expansion of z in z
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 1 into 1
2.069 * [backup-simplify]: Simplify (* 1 1) into 1
2.069 * [backup-simplify]: Simplify (/ 1 1) into 1
2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.069 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.069 * [taylor]: Taking taylor expansion of y in z
2.069 * [backup-simplify]: Simplify y into y
2.069 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.069 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.070 * [backup-simplify]: Simplify (+ 1 0) into 1
2.070 * [backup-simplify]: Simplify (+ 0 1) into 1
2.070 * [backup-simplify]: Simplify (sqrt 1) into 1
2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (+ 0 0) into 0
2.071 * [backup-simplify]: Simplify (+ 0 0) into 0
2.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.072 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.072 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.072 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.072 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.073 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.073 * [taylor]: Taking taylor expansion of x in y
2.073 * [backup-simplify]: Simplify x into x
2.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.073 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.073 * [taylor]: Taking taylor expansion of z in y
2.073 * [backup-simplify]: Simplify z into z
2.073 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.073 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.073 * [taylor]: Taking taylor expansion of y in y
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [backup-simplify]: Simplify (* 1 1) into 1
2.074 * [backup-simplify]: Simplify (/ 1 1) into 1
2.074 * [backup-simplify]: Simplify (+ 0 1) into 1
2.074 * [backup-simplify]: Simplify (+ 0 1) into 1
2.074 * [backup-simplify]: Simplify (sqrt 1) into 1
2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.076 * [backup-simplify]: Simplify (+ 0 0) into 0
2.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.076 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.076 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.076 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.082 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.082 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.083 * [taylor]: Taking taylor expansion of x in x
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [backup-simplify]: Simplify (* 1 1) into 1
2.083 * [backup-simplify]: Simplify (/ 1 1) into 1
2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.083 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.083 * [taylor]: Taking taylor expansion of z in x
2.083 * [backup-simplify]: Simplify z into z
2.083 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.083 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.083 * [taylor]: Taking taylor expansion of y in x
2.083 * [backup-simplify]: Simplify y into y
2.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.084 * [backup-simplify]: Simplify (+ 1 0) into 1
2.084 * [backup-simplify]: Simplify (sqrt 1) into 1
2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ 0 0) into 0
2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.085 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.085 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.086 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.086 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.086 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.086 * [taylor]: Taking taylor expansion of x in x
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (* 1 1) into 1
2.087 * [backup-simplify]: Simplify (/ 1 1) into 1
2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.087 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.087 * [taylor]: Taking taylor expansion of z in x
2.087 * [backup-simplify]: Simplify z into z
2.087 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.087 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.087 * [taylor]: Taking taylor expansion of y in x
2.087 * [backup-simplify]: Simplify y into y
2.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.087 * [backup-simplify]: Simplify (+ 1 0) into 1
2.088 * [backup-simplify]: Simplify (sqrt 1) into 1
2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.089 * [backup-simplify]: Simplify (+ 0 0) into 0
2.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.089 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.089 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.089 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.089 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.090 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
2.090 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.090 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.090 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.091 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.092 * [taylor]: Taking taylor expansion of 0 in y
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.092 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.092 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.094 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.094 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.095 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
2.096 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
2.096 * [taylor]: Taking taylor expansion of 1/2 in y
2.096 * [backup-simplify]: Simplify 1/2 into 1/2
2.096 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
2.096 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.096 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.096 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.097 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.097 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.097 * [taylor]: Taking taylor expansion of z in y
2.097 * [backup-simplify]: Simplify z into z
2.098 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.098 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
2.098 * [taylor]: Taking taylor expansion of 1/2 in y
2.098 * [backup-simplify]: Simplify 1/2 into 1/2
2.098 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
2.098 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.098 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.099 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.099 * [taylor]: Taking taylor expansion of y in y
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 1 into 1
2.100 * [backup-simplify]: Simplify (* 1 1) into 1
2.101 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [taylor]: Taking taylor expansion of 0 in z
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [taylor]: Taking taylor expansion of 0 in z
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [taylor]: Taking taylor expansion of 0 in z
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.106 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.107 * [backup-simplify]: Simplify (+ 0 0) into 0
2.107 * [backup-simplify]: Simplify (+ 0 0) into 0
2.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.109 * [taylor]: Taking taylor expansion of 0 in y
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
2.112 * [taylor]: Taking taylor expansion of 1/2 in z
2.112 * [backup-simplify]: Simplify 1/2 into 1/2
2.112 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
2.112 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.112 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.112 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.112 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.113 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.113 * [taylor]: Taking taylor expansion of z in z
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify (* 1 1) into 1
2.114 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [taylor]: Taking taylor expansion of 0 in z
2.115 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.116 * [taylor]: Taking taylor expansion of 0 in z
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.120 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
2.122 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
2.122 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
2.122 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
2.122 * [taylor]: Taking taylor expansion of 1/8 in y
2.122 * [backup-simplify]: Simplify 1/8 into 1/8
2.122 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
2.122 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.123 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.123 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.123 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.123 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.123 * [taylor]: Taking taylor expansion of z in y
2.123 * [backup-simplify]: Simplify z into z
2.123 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.123 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.124 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
2.124 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
2.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
2.124 * [taylor]: Taking taylor expansion of 1/4 in y
2.124 * [backup-simplify]: Simplify 1/4 into 1/4
2.124 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
2.124 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.124 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.124 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.124 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.125 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.125 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.125 * [taylor]: Taking taylor expansion of z in y
2.125 * [backup-simplify]: Simplify z into z
2.125 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.125 * [taylor]: Taking taylor expansion of y in y
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.125 * [backup-simplify]: Simplify (* 1 1) into 1
2.125 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.125 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.125 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
2.125 * [taylor]: Taking taylor expansion of 1/8 in y
2.126 * [backup-simplify]: Simplify 1/8 into 1/8
2.126 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
2.126 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.126 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.126 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.126 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.126 * [taylor]: Taking taylor expansion of y in y
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.128 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.129 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.136 * [backup-simplify]: Simplify (+ 0 0) into 0
2.136 * [backup-simplify]: Simplify (+ 0 0) into 0
2.136 * [backup-simplify]: Simplify (- 0) into 0
2.136 * [taylor]: Taking taylor expansion of 0 in z
2.136 * [backup-simplify]: Simplify 0 into 0
2.137 * [taylor]: Taking taylor expansion of 0 in z
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.137 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.140 * [backup-simplify]: Simplify (+ 0 0) into 0
2.140 * [taylor]: Taking taylor expansion of 0 in z
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [taylor]: Taking taylor expansion of 0 in z
2.140 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.141 * [taylor]: Taking taylor expansion of 0 in z
2.141 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
2.144 * * * [progress]: simplifying candidates
2.145 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1))
  (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
2.146 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (+ (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (log (sqrt (/ 1 h3))))
 (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (exp (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (sqrt (/ 1 h3)) (sqrt (/ 1 h3))) (sqrt (/ 1 h3))))
 (* (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))) (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))
 (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (sqrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (sqrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt 1))
 (* (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt h3))
 (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt 1))
 (* (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt h3))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (* (cbrt (sqrt (/ 1 h3))) (cbrt (sqrt (/ 1 h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (* (cbrt (/ 1 h3)) (cbrt (/ 1 h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) 1)
 (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (/ 1 h3)))
 (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (/ 1 h3)))
 h0
 h2
 (* -1 h2)
 (* h0 (sqrt h4))
 (* h2 (sqrt h4))
 (* -1 (* h2 (sqrt h4)))
2.203 * * * [progress]: adding candidates to table
2.372 * * [progress]: iteration 4 / 4
2.372 * * * [progress]: picking best candidate
2.380 * * * * [pick]: Picked  #<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))>
2.380 * * * [progress]: localizing error
2.399 * * * [progress]: generating rewritten candidates
2.399 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1)
2.436 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
2.541 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
2.626 * * * [progress]: generating series expansions
2.626 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1)
2.627 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
2.627 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
2.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.627 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.627 * [taylor]: Taking taylor expansion of x in z
2.627 * [backup-simplify]: Simplify x into x
2.627 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.627 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.627 * [taylor]: Taking taylor expansion of y in z
2.627 * [backup-simplify]: Simplify y into y
2.627 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.627 * [taylor]: Taking taylor expansion of z in z
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 1 into 1
2.627 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.627 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.627 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.627 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.627 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.627 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.627 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.628 * [backup-simplify]: Simplify (+ 0 0) into 0
2.628 * [backup-simplify]: Simplify (+ 0 0) into 0
2.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.628 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.628 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.629 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.629 * [taylor]: Taking taylor expansion of x in y
2.629 * [backup-simplify]: Simplify x into x
2.629 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.629 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.629 * [taylor]: Taking taylor expansion of y in y
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.629 * [taylor]: Taking taylor expansion of z in y
2.629 * [backup-simplify]: Simplify z into z
2.629 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.629 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.629 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.629 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.629 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.629 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.629 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.630 * [backup-simplify]: Simplify (+ 0 0) into 0
2.630 * [backup-simplify]: Simplify (+ 0 0) into 0
2.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.630 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.630 * [taylor]: Taking taylor expansion of x in x
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.630 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.630 * [taylor]: Taking taylor expansion of y in x
2.630 * [backup-simplify]: Simplify y into y
2.630 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.630 * [taylor]: Taking taylor expansion of z in x
2.630 * [backup-simplify]: Simplify z into z
2.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.630 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.630 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.631 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.631 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.631 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.631 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.632 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.632 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.632 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.632 * [taylor]: Taking taylor expansion of x in x
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.632 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.632 * [taylor]: Taking taylor expansion of y in x
2.632 * [backup-simplify]: Simplify y into y
2.632 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.632 * [taylor]: Taking taylor expansion of z in x
2.632 * [backup-simplify]: Simplify z into z
2.632 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.632 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.632 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.632 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.632 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.632 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.633 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.633 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.633 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.633 * [taylor]: Taking taylor expansion of y in y
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.633 * [taylor]: Taking taylor expansion of z in y
2.633 * [backup-simplify]: Simplify z into z
2.633 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.633 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.634 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.634 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.634 * [backup-simplify]: Simplify (+ 0 0) into 0
2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.634 * [taylor]: Taking taylor expansion of z in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in y
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (* 1 1) into 1
2.635 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.635 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [backup-simplify]: Simplify (+ 1 0) into 1
2.636 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
2.636 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.636 * [taylor]: Taking taylor expansion of 1/2 in y
2.636 * [backup-simplify]: Simplify 1/2 into 1/2
2.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.636 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.636 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.636 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.636 * [taylor]: Taking taylor expansion of y in y
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.636 * [taylor]: Taking taylor expansion of z in y
2.636 * [backup-simplify]: Simplify z into z
2.636 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.636 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.637 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.637 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.637 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.637 * [backup-simplify]: Simplify (+ 0 0) into 0
2.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.637 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.637 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.637 * [taylor]: Taking taylor expansion of 1/2 in z
2.637 * [backup-simplify]: Simplify 1/2 into 1/2
2.637 * [taylor]: Taking taylor expansion of z in z
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [taylor]: Taking taylor expansion of 0 in z
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify (* 1 1) into 1
2.639 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.639 * [backup-simplify]: Simplify (+ 1 0) into 1
2.639 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.639 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.639 * [taylor]: Taking taylor expansion of 1/2 in z
2.640 * [backup-simplify]: Simplify 1/2 into 1/2
2.640 * [taylor]: Taking taylor expansion of z in z
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 1 into 1
2.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.641 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.641 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.641 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.641 * [taylor]: Taking taylor expansion of x in z
2.641 * [backup-simplify]: Simplify x into x
2.641 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.641 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.641 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.641 * [taylor]: Taking taylor expansion of z in z
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 1 into 1
2.642 * [backup-simplify]: Simplify (* 1 1) into 1
2.642 * [backup-simplify]: Simplify (/ 1 1) into 1
2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.642 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.642 * [taylor]: Taking taylor expansion of y in z
2.642 * [backup-simplify]: Simplify y into y
2.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.642 * [backup-simplify]: Simplify (+ 1 0) into 1
2.642 * [backup-simplify]: Simplify (+ 0 1) into 1
2.643 * [backup-simplify]: Simplify (sqrt 1) into 1
2.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.644 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.645 * [taylor]: Taking taylor expansion of x in y
2.645 * [backup-simplify]: Simplify x into x
2.645 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.645 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.645 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.645 * [taylor]: Taking taylor expansion of z in y
2.645 * [backup-simplify]: Simplify z into z
2.645 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.645 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.645 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.645 * [taylor]: Taking taylor expansion of y in y
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [backup-simplify]: Simplify (* 1 1) into 1
2.645 * [backup-simplify]: Simplify (/ 1 1) into 1
2.646 * [backup-simplify]: Simplify (+ 0 1) into 1
2.646 * [backup-simplify]: Simplify (+ 0 1) into 1
2.646 * [backup-simplify]: Simplify (sqrt 1) into 1
2.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.647 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (+ 0 0) into 0
2.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.648 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.648 * [taylor]: Taking taylor expansion of x in x
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (* 1 1) into 1
2.648 * [backup-simplify]: Simplify (/ 1 1) into 1
2.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.648 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.648 * [taylor]: Taking taylor expansion of z in x
2.649 * [backup-simplify]: Simplify z into z
2.649 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.649 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.649 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.649 * [taylor]: Taking taylor expansion of y in x
2.649 * [backup-simplify]: Simplify y into y
2.649 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.649 * [backup-simplify]: Simplify (+ 1 0) into 1
2.649 * [backup-simplify]: Simplify (sqrt 1) into 1
2.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.650 * [backup-simplify]: Simplify (+ 0 0) into 0
2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.651 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.651 * [taylor]: Taking taylor expansion of x in x
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.651 * [backup-simplify]: Simplify (* 1 1) into 1
2.651 * [backup-simplify]: Simplify (/ 1 1) into 1
2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.651 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.651 * [taylor]: Taking taylor expansion of z in x
2.651 * [backup-simplify]: Simplify z into z
2.651 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.652 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.652 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.652 * [taylor]: Taking taylor expansion of y in x
2.652 * [backup-simplify]: Simplify y into y
2.652 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.652 * [backup-simplify]: Simplify (+ 1 0) into 1
2.652 * [backup-simplify]: Simplify (sqrt 1) into 1
2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.653 * [backup-simplify]: Simplify (+ 0 0) into 0
2.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.654 * [taylor]: Taking taylor expansion of 1 in y
2.654 * [backup-simplify]: Simplify 1 into 1
2.654 * [taylor]: Taking taylor expansion of 0 in y
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [taylor]: Taking taylor expansion of 1 in z
2.654 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.655 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.655 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.656 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.656 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.656 * [taylor]: Taking taylor expansion of 1/2 in y
2.656 * [backup-simplify]: Simplify 1/2 into 1/2
2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.656 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.656 * [taylor]: Taking taylor expansion of z in y
2.656 * [backup-simplify]: Simplify z into z
2.656 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.656 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.656 * [taylor]: Taking taylor expansion of y in y
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (* 1 1) into 1
2.657 * [backup-simplify]: Simplify (/ 1 1) into 1
2.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ 0 0) into 0
2.658 * [backup-simplify]: Simplify (+ 0 1) into 1
2.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.659 * [taylor]: Taking taylor expansion of 0 in z
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [taylor]: Taking taylor expansion of 0 in z
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [taylor]: Taking taylor expansion of 0 in z
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.660 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.660 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.661 * [taylor]: Taking taylor expansion of 0 in y
2.661 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.663 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.663 * [taylor]: Taking taylor expansion of 1/2 in z
2.663 * [backup-simplify]: Simplify 1/2 into 1/2
2.663 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.663 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.663 * [taylor]: Taking taylor expansion of z in z
2.663 * [backup-simplify]: Simplify 0 into 0
2.663 * [backup-simplify]: Simplify 1 into 1
2.663 * [backup-simplify]: Simplify (* 1 1) into 1
2.663 * [backup-simplify]: Simplify (/ 1 1) into 1
2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [taylor]: Taking taylor expansion of 0 in z
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [taylor]: Taking taylor expansion of 0 in z
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.666 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.667 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.668 * [backup-simplify]: Simplify (+ 0 0) into 0
2.668 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.669 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.669 * [taylor]: Taking taylor expansion of -1/2 in y
2.669 * [backup-simplify]: Simplify -1/2 into -1/2
2.669 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.669 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.669 * [taylor]: Taking taylor expansion of 1/4 in y
2.669 * [backup-simplify]: Simplify 1/4 into 1/4
2.669 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.669 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.669 * [taylor]: Taking taylor expansion of z in y
2.669 * [backup-simplify]: Simplify z into z
2.669 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.669 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.669 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.669 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.669 * [taylor]: Taking taylor expansion of 1/2 in y
2.669 * [backup-simplify]: Simplify 1/2 into 1/2
2.669 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.669 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.669 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.669 * [taylor]: Taking taylor expansion of z in y
2.669 * [backup-simplify]: Simplify z into z
2.669 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.669 * [taylor]: Taking taylor expansion of y in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 1 into 1
2.669 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.669 * [backup-simplify]: Simplify (* 1 1) into 1
2.670 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.670 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.670 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.670 * [taylor]: Taking taylor expansion of 1/4 in y
2.670 * [backup-simplify]: Simplify 1/4 into 1/4
2.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.670 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.670 * [taylor]: Taking taylor expansion of y in y
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify 1 into 1
2.670 * [backup-simplify]: Simplify (* 1 1) into 1
2.670 * [backup-simplify]: Simplify (* 1 1) into 1
2.670 * [backup-simplify]: Simplify (/ 1 1) into 1
2.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.671 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.671 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.677 * [backup-simplify]: Simplify (+ 0 0) into 0
2.677 * [backup-simplify]: Simplify (+ 0 0) into 0
2.677 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.678 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.678 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.680 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.680 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.681 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.681 * [taylor]: Taking taylor expansion of 0 in z
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [taylor]: Taking taylor expansion of 0 in z
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.682 * [backup-simplify]: Simplify (+ 0 0) into 0
2.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.683 * [taylor]: Taking taylor expansion of 0 in z
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [taylor]: Taking taylor expansion of 0 in z
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [taylor]: Taking taylor expansion of 0 in z
2.683 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.685 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.685 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.685 * [taylor]: Taking taylor expansion of x in z
2.685 * [backup-simplify]: Simplify x into x
2.685 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.685 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.685 * [taylor]: Taking taylor expansion of z in z
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify (* 1 1) into 1
2.691 * [backup-simplify]: Simplify (/ 1 1) into 1
2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.691 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.691 * [taylor]: Taking taylor expansion of y in z
2.691 * [backup-simplify]: Simplify y into y
2.691 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.691 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.691 * [backup-simplify]: Simplify (+ 1 0) into 1
2.692 * [backup-simplify]: Simplify (+ 0 1) into 1
2.692 * [backup-simplify]: Simplify (sqrt 1) into 1
2.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.694 * [taylor]: Taking taylor expansion of x in y
2.694 * [backup-simplify]: Simplify x into x
2.694 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.694 * [taylor]: Taking taylor expansion of z in y
2.694 * [backup-simplify]: Simplify z into z
2.694 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.694 * [taylor]: Taking taylor expansion of y in y
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify (* 1 1) into 1
2.695 * [backup-simplify]: Simplify (/ 1 1) into 1
2.695 * [backup-simplify]: Simplify (+ 0 1) into 1
2.695 * [backup-simplify]: Simplify (+ 0 1) into 1
2.695 * [backup-simplify]: Simplify (sqrt 1) into 1
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.696 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.697 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.697 * [taylor]: Taking taylor expansion of x in x
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1 1) into 1
2.698 * [backup-simplify]: Simplify (/ 1 1) into 1
2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.698 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.698 * [taylor]: Taking taylor expansion of z in x
2.698 * [backup-simplify]: Simplify z into z
2.698 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.698 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.698 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.698 * [taylor]: Taking taylor expansion of y in x
2.698 * [backup-simplify]: Simplify y into y
2.698 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.698 * [backup-simplify]: Simplify (+ 1 0) into 1
2.698 * [backup-simplify]: Simplify (sqrt 1) into 1
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.700 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.700 * [taylor]: Taking taylor expansion of x in x
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.700 * [backup-simplify]: Simplify (/ 1 1) into 1
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.701 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.701 * [taylor]: Taking taylor expansion of z in x
2.701 * [backup-simplify]: Simplify z into z
2.701 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.701 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.701 * [taylor]: Taking taylor expansion of y in x
2.701 * [backup-simplify]: Simplify y into y
2.701 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.701 * [backup-simplify]: Simplify (+ 1 0) into 1
2.701 * [backup-simplify]: Simplify (sqrt 1) into 1
2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.703 * [taylor]: Taking taylor expansion of 1 in y
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [taylor]: Taking taylor expansion of 0 in y
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [taylor]: Taking taylor expansion of 1 in z
2.703 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.704 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.705 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.705 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.705 * [taylor]: Taking taylor expansion of 1/2 in y
2.705 * [backup-simplify]: Simplify 1/2 into 1/2
2.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.705 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.705 * [taylor]: Taking taylor expansion of z in y
2.705 * [backup-simplify]: Simplify z into z
2.705 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.706 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.706 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.706 * [taylor]: Taking taylor expansion of y in y
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [backup-simplify]: Simplify (* 1 1) into 1
2.706 * [backup-simplify]: Simplify (/ 1 1) into 1
2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [backup-simplify]: Simplify (+ 0 1) into 1
2.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.708 * [taylor]: Taking taylor expansion of 0 in z
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [taylor]: Taking taylor expansion of 0 in z
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [taylor]: Taking taylor expansion of 0 in z
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.709 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.710 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.710 * [taylor]: Taking taylor expansion of 0 in y
2.710 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.712 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.712 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.712 * [taylor]: Taking taylor expansion of 1/2 in z
2.712 * [backup-simplify]: Simplify 1/2 into 1/2
2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.712 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.712 * [taylor]: Taking taylor expansion of z in z
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [backup-simplify]: Simplify (* 1 1) into 1
2.713 * [backup-simplify]: Simplify (/ 1 1) into 1
2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [taylor]: Taking taylor expansion of 0 in z
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [taylor]: Taking taylor expansion of 0 in z
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.715 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (+ 0 0) into 0
2.718 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.718 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.718 * [taylor]: Taking taylor expansion of -1/2 in y
2.718 * [backup-simplify]: Simplify -1/2 into -1/2
2.718 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.718 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.718 * [taylor]: Taking taylor expansion of 1/4 in y
2.718 * [backup-simplify]: Simplify 1/4 into 1/4
2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.718 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.718 * [taylor]: Taking taylor expansion of z in y
2.718 * [backup-simplify]: Simplify z into z
2.718 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.718 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.718 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.718 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.718 * [taylor]: Taking taylor expansion of 1/2 in y
2.718 * [backup-simplify]: Simplify 1/2 into 1/2
2.718 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.718 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.718 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.718 * [taylor]: Taking taylor expansion of z in y
2.718 * [backup-simplify]: Simplify z into z
2.718 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.718 * [taylor]: Taking taylor expansion of y in y
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.719 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.719 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.719 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.719 * [taylor]: Taking taylor expansion of 1/4 in y
2.719 * [backup-simplify]: Simplify 1/4 into 1/4
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.719 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.719 * [taylor]: Taking taylor expansion of y in y
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.720 * [backup-simplify]: Simplify (/ 1 1) into 1
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.720 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.720 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.727 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.727 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.728 * [backup-simplify]: Simplify (+ 0 0) into 0
2.728 * [backup-simplify]: Simplify (+ 0 0) into 0
2.729 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.729 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.729 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.730 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.730 * [taylor]: Taking taylor expansion of 0 in z
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [taylor]: Taking taylor expansion of 0 in z
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (+ 0 0) into 0
2.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.732 * [taylor]: Taking taylor expansion of 0 in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [taylor]: Taking taylor expansion of 0 in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [taylor]: Taking taylor expansion of 0 in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.734 * * * * [progress]: [ 2 / 3 ] generating series at (2)
2.735 * [backup-simplify]: Simplify (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))
2.735 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.735 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.735 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.735 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.735 * [taylor]: Taking taylor expansion of x in z
2.735 * [backup-simplify]: Simplify x into x
2.735 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.735 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.735 * [taylor]: Taking taylor expansion of y in z
2.735 * [backup-simplify]: Simplify y into y
2.735 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.735 * [taylor]: Taking taylor expansion of z in z
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.735 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.735 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.735 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.736 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.736 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.736 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.736 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.736 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.737 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.737 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.737 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.737 * [taylor]: Taking taylor expansion of x in y
2.737 * [backup-simplify]: Simplify x into x
2.737 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.737 * [taylor]: Taking taylor expansion of y in y
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.737 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.737 * [taylor]: Taking taylor expansion of z in y
2.737 * [backup-simplify]: Simplify z into z
2.737 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.737 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.738 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.738 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.738 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.738 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.738 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.738 * [backup-simplify]: Simplify (+ 0 0) into 0
2.738 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.739 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.739 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.739 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.739 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.739 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
2.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.739 * [taylor]: Taking taylor expansion of x in x
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.740 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.740 * [taylor]: Taking taylor expansion of y in x
2.740 * [backup-simplify]: Simplify y into y
2.740 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.740 * [taylor]: Taking taylor expansion of z in x
2.740 * [backup-simplify]: Simplify z into z
2.740 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.740 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.740 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.740 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.740 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.740 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.741 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.741 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.741 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.741 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.742 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
2.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.742 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.742 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.742 * [taylor]: Taking taylor expansion of x in x
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.742 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.742 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.742 * [taylor]: Taking taylor expansion of y in x
2.742 * [backup-simplify]: Simplify y into y
2.742 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.742 * [taylor]: Taking taylor expansion of z in x
2.742 * [backup-simplify]: Simplify z into z
2.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.742 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.742 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.742 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.742 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.743 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.743 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.743 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.743 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.743 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.744 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.744 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
2.744 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.744 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.744 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.744 * [taylor]: Taking taylor expansion of y in y
2.744 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.745 * [taylor]: Taking taylor expansion of z in y
2.745 * [backup-simplify]: Simplify z into z
2.745 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.745 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.745 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.745 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.745 * [backup-simplify]: Simplify (+ 0 0) into 0
2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.745 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.745 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.745 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.745 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.746 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
2.746 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
2.746 * [taylor]: Taking taylor expansion of z in z
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.746 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.746 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.747 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.747 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.748 * [taylor]: Taking taylor expansion of 0 in y
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [taylor]: Taking taylor expansion of 0 in z
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.748 * [taylor]: Taking taylor expansion of 0 in z
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
2.750 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.751 * [backup-simplify]: Simplify (* 1 1) into 1
2.751 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.751 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (+ 1 0) into 1
2.752 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
2.753 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
2.753 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
2.753 * [taylor]: Taking taylor expansion of 1/2 in y
2.753 * [backup-simplify]: Simplify 1/2 into 1/2
2.753 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
2.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.753 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.753 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.753 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.753 * [taylor]: Taking taylor expansion of y in y
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.753 * [taylor]: Taking taylor expansion of z in y
2.753 * [backup-simplify]: Simplify z into z
2.753 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.753 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.754 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.754 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.754 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.754 * [backup-simplify]: Simplify (+ 0 0) into 0
2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.754 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.754 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.755 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.755 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
2.756 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
2.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
2.756 * [taylor]: Taking taylor expansion of 1/2 in z
2.756 * [backup-simplify]: Simplify 1/2 into 1/2
2.756 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
2.756 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.756 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.756 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.756 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.756 * [taylor]: Taking taylor expansion of z in z
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [taylor]: Taking taylor expansion of 0 in z
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.759 * [backup-simplify]: Simplify (* 1 1) into 1
2.759 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.760 * [backup-simplify]: Simplify (+ 1 0) into 1
2.760 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.761 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
2.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
2.761 * [taylor]: Taking taylor expansion of 1/2 in z
2.761 * [backup-simplify]: Simplify 1/2 into 1/2
2.761 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
2.761 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.761 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.761 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.761 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.761 * [taylor]: Taking taylor expansion of z in z
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 1 into 1
2.762 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
2.766 * [backup-simplify]: Simplify (exp (log (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
2.766 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.766 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
2.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.766 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.766 * [taylor]: Taking taylor expansion of x in z
2.766 * [backup-simplify]: Simplify x into x
2.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.766 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.766 * [taylor]: Taking taylor expansion of z in z
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [backup-simplify]: Simplify (* 1 1) into 1
2.767 * [backup-simplify]: Simplify (/ 1 1) into 1
2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.767 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.767 * [taylor]: Taking taylor expansion of y in z
2.767 * [backup-simplify]: Simplify y into y
2.767 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.767 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.767 * [backup-simplify]: Simplify (+ 1 0) into 1
2.767 * [backup-simplify]: Simplify (+ 0 1) into 1
2.768 * [backup-simplify]: Simplify (sqrt 1) into 1
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.769 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.770 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.770 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
2.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.770 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.770 * [taylor]: Taking taylor expansion of x in y
2.770 * [backup-simplify]: Simplify x into x
2.770 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.770 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.770 * [taylor]: Taking taylor expansion of z in y
2.770 * [backup-simplify]: Simplify z into z
2.770 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.770 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.771 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.771 * [taylor]: Taking taylor expansion of y in y
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (* 1 1) into 1
2.771 * [backup-simplify]: Simplify (/ 1 1) into 1
2.771 * [backup-simplify]: Simplify (+ 0 1) into 1
2.772 * [backup-simplify]: Simplify (+ 0 1) into 1
2.772 * [backup-simplify]: Simplify (sqrt 1) into 1
2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.774 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.774 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.774 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.774 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.774 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.774 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.774 * [taylor]: Taking taylor expansion of x in x
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify (* 1 1) into 1
2.775 * [backup-simplify]: Simplify (/ 1 1) into 1
2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.775 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.775 * [taylor]: Taking taylor expansion of z in x
2.775 * [backup-simplify]: Simplify z into z
2.775 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.775 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.775 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.775 * [taylor]: Taking taylor expansion of y in x
2.775 * [backup-simplify]: Simplify y into y
2.775 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.776 * [backup-simplify]: Simplify (+ 1 0) into 1
2.776 * [backup-simplify]: Simplify (sqrt 1) into 1
2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ 0 0) into 0
2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.777 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.777 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.777 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.778 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.778 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.778 * [taylor]: Taking taylor expansion of x in x
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 1 into 1
2.778 * [backup-simplify]: Simplify (* 1 1) into 1
2.779 * [backup-simplify]: Simplify (/ 1 1) into 1
2.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.779 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.779 * [taylor]: Taking taylor expansion of z in x
2.779 * [backup-simplify]: Simplify z into z
2.779 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.779 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.779 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.779 * [taylor]: Taking taylor expansion of y in x
2.779 * [backup-simplify]: Simplify y into y
2.779 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.784 * [backup-simplify]: Simplify (+ 1 0) into 1
2.785 * [backup-simplify]: Simplify (sqrt 1) into 1
2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.786 * [backup-simplify]: Simplify (+ 0 0) into 0
2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.786 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.786 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.787 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.788 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
2.788 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.788 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.788 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.788 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.789 * [taylor]: Taking taylor expansion of 0 in y
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.789 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.789 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.789 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.792 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.792 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
2.793 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
2.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
2.794 * [taylor]: Taking taylor expansion of 1/2 in y
2.794 * [backup-simplify]: Simplify 1/2 into 1/2
2.794 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
2.794 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.794 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.794 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.794 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.794 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.794 * [taylor]: Taking taylor expansion of z in y
2.794 * [backup-simplify]: Simplify z into z
2.794 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.795 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
2.795 * [taylor]: Taking taylor expansion of 1/2 in y
2.795 * [backup-simplify]: Simplify 1/2 into 1/2
2.795 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
2.795 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.795 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.795 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.795 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.796 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.796 * [taylor]: Taking taylor expansion of y in y
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.796 * [backup-simplify]: Simplify (* 1 1) into 1
2.796 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.798 * [taylor]: Taking taylor expansion of 0 in z
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [taylor]: Taking taylor expansion of 0 in z
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [taylor]: Taking taylor expansion of 0 in z
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.802 * [taylor]: Taking taylor expansion of 0 in y
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.806 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
2.806 * [taylor]: Taking taylor expansion of 1/2 in z
2.806 * [backup-simplify]: Simplify 1/2 into 1/2
2.806 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
2.806 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.806 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.806 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.806 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.806 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.806 * [taylor]: Taking taylor expansion of z in z
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 1 into 1
2.807 * [backup-simplify]: Simplify (* 1 1) into 1
2.807 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [taylor]: Taking taylor expansion of 0 in z
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.809 * [taylor]: Taking taylor expansion of 0 in z
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.812 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.812 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.814 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
2.816 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
2.816 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
2.816 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
2.816 * [taylor]: Taking taylor expansion of 1/8 in y
2.816 * [backup-simplify]: Simplify 1/8 into 1/8
2.816 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
2.816 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.816 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.816 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.816 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.817 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.817 * [taylor]: Taking taylor expansion of z in y
2.817 * [backup-simplify]: Simplify z into z
2.817 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.817 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.817 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
2.817 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
2.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
2.817 * [taylor]: Taking taylor expansion of 1/4 in y
2.817 * [backup-simplify]: Simplify 1/4 into 1/4
2.817 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
2.817 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.817 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.817 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.818 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.818 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.818 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.818 * [taylor]: Taking taylor expansion of z in y
2.818 * [backup-simplify]: Simplify z into z
2.818 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.818 * [taylor]: Taking taylor expansion of y in y
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.819 * [backup-simplify]: Simplify (* 1 1) into 1
2.819 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.819 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.819 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
2.819 * [taylor]: Taking taylor expansion of 1/8 in y
2.819 * [backup-simplify]: Simplify 1/8 into 1/8
2.819 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
2.819 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.819 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.819 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.819 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.820 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.820 * [taylor]: Taking taylor expansion of y in y
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (* 1 1) into 1
2.820 * [backup-simplify]: Simplify (* 1 1) into 1
2.821 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.821 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.822 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.822 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.830 * [backup-simplify]: Simplify (+ 0 0) into 0
2.830 * [backup-simplify]: Simplify (+ 0 0) into 0
2.830 * [backup-simplify]: Simplify (- 0) into 0
2.830 * [taylor]: Taking taylor expansion of 0 in z
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [taylor]: Taking taylor expansion of 0 in z
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.831 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.834 * [taylor]: Taking taylor expansion of 0 in z
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [taylor]: Taking taylor expansion of 0 in z
2.834 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.835 * [taylor]: Taking taylor expansion of 0 in z
2.835 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.837 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
2.839 * [backup-simplify]: Simplify (exp (log (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
2.839 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.839 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
2.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.839 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.839 * [taylor]: Taking taylor expansion of x in z
2.839 * [backup-simplify]: Simplify x into x
2.839 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.839 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.839 * [taylor]: Taking taylor expansion of z in z
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (* 1 1) into 1
2.840 * [backup-simplify]: Simplify (/ 1 1) into 1
2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.840 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.840 * [taylor]: Taking taylor expansion of y in z
2.840 * [backup-simplify]: Simplify y into y
2.840 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.840 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.840 * [backup-simplify]: Simplify (+ 1 0) into 1
2.840 * [backup-simplify]: Simplify (+ 0 1) into 1
2.841 * [backup-simplify]: Simplify (sqrt 1) into 1
2.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.842 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.842 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.842 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.842 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.843 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.843 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.843 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.843 * [taylor]: Taking taylor expansion of x in y
2.843 * [backup-simplify]: Simplify x into x
2.843 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.843 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.843 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.843 * [taylor]: Taking taylor expansion of z in y
2.843 * [backup-simplify]: Simplify z into z
2.843 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.843 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.843 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.844 * [taylor]: Taking taylor expansion of y in y
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (* 1 1) into 1
2.844 * [backup-simplify]: Simplify (/ 1 1) into 1
2.844 * [backup-simplify]: Simplify (+ 0 1) into 1
2.844 * [backup-simplify]: Simplify (+ 0 1) into 1
2.845 * [backup-simplify]: Simplify (sqrt 1) into 1
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.846 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.846 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.846 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.847 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.847 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.847 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.847 * [taylor]: Taking taylor expansion of x in x
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (* 1 1) into 1
2.848 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.848 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.848 * [taylor]: Taking taylor expansion of z in x
2.848 * [backup-simplify]: Simplify z into z
2.848 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.848 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.848 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.848 * [taylor]: Taking taylor expansion of y in x
2.848 * [backup-simplify]: Simplify y into y
2.848 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.848 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.848 * [backup-simplify]: Simplify (+ 1 0) into 1
2.849 * [backup-simplify]: Simplify (sqrt 1) into 1
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (+ 0 0) into 0
2.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.850 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.850 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.850 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.851 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.851 * [taylor]: Taking taylor expansion of x in x
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (* 1 1) into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.851 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.851 * [taylor]: Taking taylor expansion of z in x
2.851 * [backup-simplify]: Simplify z into z
2.851 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.851 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.852 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.852 * [taylor]: Taking taylor expansion of y in x
2.852 * [backup-simplify]: Simplify y into y
2.852 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.852 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.852 * [backup-simplify]: Simplify (+ 1 0) into 1
2.852 * [backup-simplify]: Simplify (sqrt 1) into 1
2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.854 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.854 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.854 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.854 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.855 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
2.855 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.855 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.855 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.856 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.856 * [taylor]: Taking taylor expansion of 0 in y
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.857 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.857 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.859 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.860 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
2.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
2.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
2.861 * [taylor]: Taking taylor expansion of 1/2 in y
2.861 * [backup-simplify]: Simplify 1/2 into 1/2
2.861 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
2.861 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.861 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.861 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.861 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.862 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.862 * [taylor]: Taking taylor expansion of z in y
2.862 * [backup-simplify]: Simplify z into z
2.862 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.862 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
2.862 * [taylor]: Taking taylor expansion of 1/2 in y
2.862 * [backup-simplify]: Simplify 1/2 into 1/2
2.862 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
2.862 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.862 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.862 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.863 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.863 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.863 * [taylor]: Taking taylor expansion of y in y
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [backup-simplify]: Simplify (* 1 1) into 1
2.864 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.866 * [backup-simplify]: Simplify (+ 0 0) into 0
2.866 * [taylor]: Taking taylor expansion of 0 in z
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [taylor]: Taking taylor expansion of 0 in z
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [taylor]: Taking taylor expansion of 0 in z
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.868 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.876 * [taylor]: Taking taylor expansion of 0 in y
2.876 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.879 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
2.879 * [taylor]: Taking taylor expansion of 1/2 in z
2.879 * [backup-simplify]: Simplify 1/2 into 1/2
2.879 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
2.879 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.880 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.880 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.880 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.880 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.880 * [taylor]: Taking taylor expansion of z in z
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.881 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [taylor]: Taking taylor expansion of 0 in z
2.882 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.883 * [taylor]: Taking taylor expansion of 0 in z
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.886 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.886 * [backup-simplify]: Simplify (+ 0 0) into 0
2.887 * [backup-simplify]: Simplify (+ 0 0) into 0
2.888 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
2.890 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
2.890 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
2.890 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
2.890 * [taylor]: Taking taylor expansion of 1/8 in y
2.890 * [backup-simplify]: Simplify 1/8 into 1/8
2.890 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
2.890 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.890 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.890 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.890 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.890 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.890 * [taylor]: Taking taylor expansion of z in y
2.890 * [backup-simplify]: Simplify z into z
2.890 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.891 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.891 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
2.891 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
2.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
2.891 * [taylor]: Taking taylor expansion of 1/4 in y
2.891 * [backup-simplify]: Simplify 1/4 into 1/4
2.891 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
2.891 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.891 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.891 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.891 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.892 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.892 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.892 * [taylor]: Taking taylor expansion of z in y
2.892 * [backup-simplify]: Simplify z into z
2.892 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.892 * [taylor]: Taking taylor expansion of y in y
2.892 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify 1 into 1
2.892 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.892 * [backup-simplify]: Simplify (* 1 1) into 1
2.892 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.893 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.893 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
2.893 * [taylor]: Taking taylor expansion of 1/8 in y
2.893 * [backup-simplify]: Simplify 1/8 into 1/8
2.893 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
2.893 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.893 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.893 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.893 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.893 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.893 * [taylor]: Taking taylor expansion of y in y
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify 1 into 1
2.894 * [backup-simplify]: Simplify (* 1 1) into 1
2.894 * [backup-simplify]: Simplify (* 1 1) into 1
2.894 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.895 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.895 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.896 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.903 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.903 * [backup-simplify]: Simplify (+ 0 0) into 0
2.903 * [backup-simplify]: Simplify (+ 0 0) into 0
2.903 * [backup-simplify]: Simplify (- 0) into 0
2.903 * [taylor]: Taking taylor expansion of 0 in z
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [taylor]: Taking taylor expansion of 0 in z
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.904 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [taylor]: Taking taylor expansion of 0 in z
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [taylor]: Taking taylor expansion of 0 in z
2.907 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.908 * [taylor]: Taking taylor expansion of 0 in z
2.908 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
2.911 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
2.911 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))
2.912 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.912 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
2.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.912 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.912 * [taylor]: Taking taylor expansion of x in z
2.912 * [backup-simplify]: Simplify x into x
2.912 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.912 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.912 * [taylor]: Taking taylor expansion of y in z
2.912 * [backup-simplify]: Simplify y into y
2.912 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.912 * [taylor]: Taking taylor expansion of z in z
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.912 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.912 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.912 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.912 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.912 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.913 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.913 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.913 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.913 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.914 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
2.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.914 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.914 * [taylor]: Taking taylor expansion of x in y
2.914 * [backup-simplify]: Simplify x into x
2.914 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.914 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.914 * [taylor]: Taking taylor expansion of y in y
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.914 * [taylor]: Taking taylor expansion of z in y
2.914 * [backup-simplify]: Simplify z into z
2.914 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.914 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.914 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.914 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.914 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.914 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.914 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.915 * [backup-simplify]: Simplify (+ 0 0) into 0
2.915 * [backup-simplify]: Simplify (+ 0 0) into 0
2.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.915 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.915 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.915 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.915 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.916 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
2.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.916 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.916 * [taylor]: Taking taylor expansion of x in x
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.916 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.916 * [taylor]: Taking taylor expansion of y in x
2.916 * [backup-simplify]: Simplify y into y
2.916 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.916 * [taylor]: Taking taylor expansion of z in x
2.916 * [backup-simplify]: Simplify z into z
2.916 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.916 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.916 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.916 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.917 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.917 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.917 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.917 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.917 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.917 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.918 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.918 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
2.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.918 * [taylor]: Taking taylor expansion of x in x
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.918 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.918 * [taylor]: Taking taylor expansion of y in x
2.918 * [backup-simplify]: Simplify y into y
2.918 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.918 * [taylor]: Taking taylor expansion of z in x
2.918 * [backup-simplify]: Simplify z into z
2.918 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.918 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.919 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.919 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.919 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.919 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.919 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.920 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.920 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.920 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.921 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
2.921 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
2.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.921 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.921 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.921 * [taylor]: Taking taylor expansion of y in y
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 1 into 1
2.921 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.921 * [taylor]: Taking taylor expansion of z in y
2.921 * [backup-simplify]: Simplify z into z
2.921 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.921 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.921 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.921 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.921 * [backup-simplify]: Simplify (+ 0 0) into 0
2.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.922 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.922 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.922 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.922 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.923 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
2.923 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
2.923 * [taylor]: Taking taylor expansion of z in z
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.923 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.923 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.923 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.924 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.924 * [taylor]: Taking taylor expansion of 0 in y
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [taylor]: Taking taylor expansion of 0 in z
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.925 * [taylor]: Taking taylor expansion of 0 in z
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
2.926 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.927 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.927 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.928 * [backup-simplify]: Simplify (+ 0 0) into 0
2.928 * [backup-simplify]: Simplify (+ 1 0) into 1
2.928 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
2.929 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
2.929 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
2.929 * [taylor]: Taking taylor expansion of 1/2 in y
2.929 * [backup-simplify]: Simplify 1/2 into 1/2
2.929 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
2.929 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.929 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.929 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.929 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.929 * [taylor]: Taking taylor expansion of y in y
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 1 into 1
2.930 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.930 * [taylor]: Taking taylor expansion of z in y
2.930 * [backup-simplify]: Simplify z into z
2.930 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.930 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.930 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.930 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.930 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.930 * [backup-simplify]: Simplify (+ 0 0) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.930 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.930 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.931 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.931 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.931 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
2.932 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
2.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
2.932 * [taylor]: Taking taylor expansion of 1/2 in z
2.932 * [backup-simplify]: Simplify 1/2 into 1/2
2.932 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
2.932 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.932 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.932 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.932 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.933 * [taylor]: Taking taylor expansion of z in z
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [taylor]: Taking taylor expansion of 0 in z
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.935 * [backup-simplify]: Simplify (* 1 1) into 1
2.936 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.936 * [backup-simplify]: Simplify (+ 1 0) into 1
2.936 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.937 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
2.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
2.937 * [taylor]: Taking taylor expansion of 1/2 in z
2.937 * [backup-simplify]: Simplify 1/2 into 1/2
2.937 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
2.937 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.937 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.937 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.937 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.938 * [taylor]: Taking taylor expansion of z in z
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 1 into 1
2.938 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.940 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
2.942 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
2.942 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
2.942 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
2.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.942 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.942 * [taylor]: Taking taylor expansion of x in z
2.942 * [backup-simplify]: Simplify x into x
2.942 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.942 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.942 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.942 * [taylor]: Taking taylor expansion of z in z
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.942 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (/ 1 1) into 1
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.943 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.943 * [taylor]: Taking taylor expansion of y in z
2.943 * [backup-simplify]: Simplify y into y
2.943 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.943 * [backup-simplify]: Simplify (+ 1 0) into 1
2.943 * [backup-simplify]: Simplify (+ 0 1) into 1
2.944 * [backup-simplify]: Simplify (sqrt 1) into 1
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (+ 0 0) into 0
2.945 * [backup-simplify]: Simplify (+ 0 0) into 0
2.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.945 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.945 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.945 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.945 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.946 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
2.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.946 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.946 * [taylor]: Taking taylor expansion of x in y
2.946 * [backup-simplify]: Simplify x into x
2.946 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.946 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.946 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.946 * [taylor]: Taking taylor expansion of z in y
2.946 * [backup-simplify]: Simplify z into z
2.946 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.946 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.946 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.946 * [taylor]: Taking taylor expansion of y in y
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (* 1 1) into 1
2.947 * [backup-simplify]: Simplify (/ 1 1) into 1
2.947 * [backup-simplify]: Simplify (+ 0 1) into 1
2.947 * [backup-simplify]: Simplify (+ 0 1) into 1
2.948 * [backup-simplify]: Simplify (sqrt 1) into 1
2.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.949 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.949 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.949 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.950 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.950 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.950 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.950 * [taylor]: Taking taylor expansion of x in x
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.950 * [backup-simplify]: Simplify (* 1 1) into 1
2.951 * [backup-simplify]: Simplify (/ 1 1) into 1
2.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.951 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.951 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.951 * [taylor]: Taking taylor expansion of z in x
2.951 * [backup-simplify]: Simplify z into z
2.951 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.951 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.951 * [taylor]: Taking taylor expansion of y in x
2.951 * [backup-simplify]: Simplify y into y
2.951 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.951 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.951 * [backup-simplify]: Simplify (+ 1 0) into 1
2.951 * [backup-simplify]: Simplify (sqrt 1) into 1
2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify (+ 0 0) into 0
2.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.953 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.953 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.953 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.953 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.954 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
2.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.954 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.954 * [taylor]: Taking taylor expansion of x in x
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 1 into 1
2.954 * [backup-simplify]: Simplify (* 1 1) into 1
2.954 * [backup-simplify]: Simplify (/ 1 1) into 1
2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.954 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.954 * [taylor]: Taking taylor expansion of z in x
2.954 * [backup-simplify]: Simplify z into z
2.954 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.954 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.954 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.954 * [taylor]: Taking taylor expansion of y in x
2.954 * [backup-simplify]: Simplify y into y
2.954 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.955 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.955 * [backup-simplify]: Simplify (+ 1 0) into 1
2.955 * [backup-simplify]: Simplify (sqrt 1) into 1
2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.956 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
2.956 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
2.956 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.957 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.958 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
2.958 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.958 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.958 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.958 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.959 * [taylor]: Taking taylor expansion of 0 in y
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.959 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.959 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.968 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.968 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
2.969 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
2.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
2.970 * [taylor]: Taking taylor expansion of 1/2 in y
2.970 * [backup-simplify]: Simplify 1/2 into 1/2
2.970 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
2.970 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.970 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.970 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.970 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.970 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.970 * [taylor]: Taking taylor expansion of z in y
2.970 * [backup-simplify]: Simplify z into z
2.970 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.971 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
2.971 * [taylor]: Taking taylor expansion of 1/2 in y
2.971 * [backup-simplify]: Simplify 1/2 into 1/2
2.971 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
2.971 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.971 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.971 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.971 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.972 * [taylor]: Taking taylor expansion of y in y
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.972 * [backup-simplify]: Simplify (* 1 1) into 1
2.972 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.974 * [backup-simplify]: Simplify (+ 0 0) into 0
2.974 * [taylor]: Taking taylor expansion of 0 in z
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in z
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in z
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.976 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
2.978 * [taylor]: Taking taylor expansion of 0 in y
2.978 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
2.981 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
2.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
2.981 * [taylor]: Taking taylor expansion of 1/2 in z
2.982 * [backup-simplify]: Simplify 1/2 into 1/2
2.982 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
2.982 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
2.982 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
2.982 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.982 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.982 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.982 * [taylor]: Taking taylor expansion of z in z
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.983 * [backup-simplify]: Simplify (* 1 1) into 1
2.983 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
2.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [taylor]: Taking taylor expansion of 0 in z
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
2.985 * [taylor]: Taking taylor expansion of 0 in z
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.990 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
2.992 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
2.992 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
2.992 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
2.992 * [taylor]: Taking taylor expansion of 1/8 in y
2.992 * [backup-simplify]: Simplify 1/8 into 1/8
2.992 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
2.992 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.992 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.992 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.992 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.993 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.993 * [taylor]: Taking taylor expansion of z in y
2.993 * [backup-simplify]: Simplify z into z
2.993 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.993 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.993 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
2.993 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
2.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
2.993 * [taylor]: Taking taylor expansion of 1/4 in y
2.993 * [backup-simplify]: Simplify 1/4 into 1/4
2.993 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
2.993 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.993 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.994 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.994 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.994 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.994 * [taylor]: Taking taylor expansion of z in y
2.994 * [backup-simplify]: Simplify z into z
2.994 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.994 * [taylor]: Taking taylor expansion of y in y
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.994 * [backup-simplify]: Simplify (* 1 1) into 1
2.995 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.995 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
2.995 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
2.995 * [taylor]: Taking taylor expansion of 1/8 in y
2.995 * [backup-simplify]: Simplify 1/8 into 1/8
2.995 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
2.995 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
2.995 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
2.995 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.995 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
2.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
2.996 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.996 * [taylor]: Taking taylor expansion of y in y
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.997 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.997 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.997 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
2.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
2.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.006 * [backup-simplify]: Simplify (- 0) into 0
3.006 * [taylor]: Taking taylor expansion of 0 in z
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [taylor]: Taking taylor expansion of 0 in z
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.006 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.010 * [taylor]: Taking taylor expansion of 0 in z
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [taylor]: Taking taylor expansion of 0 in z
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.010 * [taylor]: Taking taylor expansion of 0 in z
3.010 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
3.014 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333))
3.014 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
3.014 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z
3.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.014 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.014 * [taylor]: Taking taylor expansion of x in z
3.014 * [backup-simplify]: Simplify x into x
3.014 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.014 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.014 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.014 * [taylor]: Taking taylor expansion of z in z
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.014 * [backup-simplify]: Simplify (* 1 1) into 1
3.015 * [backup-simplify]: Simplify (/ 1 1) into 1
3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.015 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.015 * [taylor]: Taking taylor expansion of y in z
3.015 * [backup-simplify]: Simplify y into y
3.015 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.015 * [backup-simplify]: Simplify (+ 1 0) into 1
3.015 * [backup-simplify]: Simplify (+ 0 1) into 1
3.016 * [backup-simplify]: Simplify (sqrt 1) into 1
3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify (+ 0 0) into 0
3.017 * [backup-simplify]: Simplify (+ 0 0) into 0
3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.017 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.017 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.017 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.018 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.018 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y
3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.018 * [taylor]: Taking taylor expansion of x in y
3.018 * [backup-simplify]: Simplify x into x
3.018 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.018 * [taylor]: Taking taylor expansion of z in y
3.018 * [backup-simplify]: Simplify z into z
3.018 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.019 * [taylor]: Taking taylor expansion of y in y
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (* 1 1) into 1
3.019 * [backup-simplify]: Simplify (/ 1 1) into 1
3.019 * [backup-simplify]: Simplify (+ 0 1) into 1
3.019 * [backup-simplify]: Simplify (+ 0 1) into 1
3.020 * [backup-simplify]: Simplify (sqrt 1) into 1
3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.021 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.021 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.021 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.022 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.022 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
3.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.022 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.022 * [taylor]: Taking taylor expansion of x in x
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 1 into 1
3.022 * [backup-simplify]: Simplify (* 1 1) into 1
3.023 * [backup-simplify]: Simplify (/ 1 1) into 1
3.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.023 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.023 * [taylor]: Taking taylor expansion of z in x
3.023 * [backup-simplify]: Simplify z into z
3.023 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.023 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.023 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.023 * [taylor]: Taking taylor expansion of y in x
3.023 * [backup-simplify]: Simplify y into y
3.023 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.023 * [backup-simplify]: Simplify (+ 1 0) into 1
3.024 * [backup-simplify]: Simplify (sqrt 1) into 1
3.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.025 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.025 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.026 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x
3.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.026 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.026 * [taylor]: Taking taylor expansion of x in x
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify (* 1 1) into 1
3.026 * [backup-simplify]: Simplify (/ 1 1) into 1
3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.026 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.026 * [taylor]: Taking taylor expansion of z in x
3.026 * [backup-simplify]: Simplify z into z
3.026 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.026 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.026 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.026 * [taylor]: Taking taylor expansion of y in x
3.027 * [backup-simplify]: Simplify y into y
3.027 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.027 * [backup-simplify]: Simplify (+ 1 0) into 1
3.027 * [backup-simplify]: Simplify (sqrt 1) into 1
3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.028 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.029 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.029 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.030 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
3.030 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.030 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.030 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.031 * [taylor]: Taking taylor expansion of 0 in y
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.031 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.031 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.034 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.035 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
3.036 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
3.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
3.036 * [taylor]: Taking taylor expansion of 1/2 in y
3.036 * [backup-simplify]: Simplify 1/2 into 1/2
3.036 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
3.036 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.036 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.036 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.037 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.037 * [taylor]: Taking taylor expansion of z in y
3.037 * [backup-simplify]: Simplify z into z
3.037 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.037 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
3.037 * [taylor]: Taking taylor expansion of 1/2 in y
3.037 * [backup-simplify]: Simplify 1/2 into 1/2
3.037 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
3.037 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.037 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.037 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.037 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.038 * [taylor]: Taking taylor expansion of y in y
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (* 1 1) into 1
3.039 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [taylor]: Taking taylor expansion of 0 in z
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [taylor]: Taking taylor expansion of 0 in z
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [taylor]: Taking taylor expansion of 0 in z
3.040 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.043 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.043 * [backup-simplify]: Simplify (+ 0 0) into 0
3.043 * [backup-simplify]: Simplify (+ 0 0) into 0
3.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.045 * [taylor]: Taking taylor expansion of 0 in y
3.045 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
3.048 * [taylor]: Taking taylor expansion of 1/2 in z
3.048 * [backup-simplify]: Simplify 1/2 into 1/2
3.048 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
3.048 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.048 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.048 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.049 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.049 * [taylor]: Taking taylor expansion of z in z
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 1 into 1
3.049 * [backup-simplify]: Simplify (* 1 1) into 1
3.055 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [taylor]: Taking taylor expansion of 0 in z
3.057 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.058 * [taylor]: Taking taylor expansion of 0 in z
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))))
3.064 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y
3.064 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y
3.064 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
3.064 * [taylor]: Taking taylor expansion of 1/8 in y
3.064 * [backup-simplify]: Simplify 1/8 into 1/8
3.064 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
3.064 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.064 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.064 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.064 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.065 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.065 * [taylor]: Taking taylor expansion of z in y
3.065 * [backup-simplify]: Simplify z into z
3.065 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.065 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.065 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
3.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y
3.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
3.066 * [taylor]: Taking taylor expansion of 1/4 in y
3.066 * [backup-simplify]: Simplify 1/4 into 1/4
3.066 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
3.066 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.066 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.066 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.066 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.066 * [taylor]: Taking taylor expansion of z in y
3.066 * [backup-simplify]: Simplify z into z
3.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.066 * [taylor]: Taking taylor expansion of y in y
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.066 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.067 * [backup-simplify]: Simplify (* 1 1) into 1
3.067 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.067 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.067 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
3.067 * [taylor]: Taking taylor expansion of 1/8 in y
3.067 * [backup-simplify]: Simplify 1/8 into 1/8
3.067 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
3.067 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.067 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.067 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.067 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.068 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.068 * [taylor]: Taking taylor expansion of y in y
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.069 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.069 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.070 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.070 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.078 * [backup-simplify]: Simplify (- 0) into 0
3.078 * [taylor]: Taking taylor expansion of 0 in z
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [taylor]: Taking taylor expansion of 0 in z
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.078 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.082 * [backup-simplify]: Simplify (+ 0 0) into 0
3.082 * [taylor]: Taking taylor expansion of 0 in z
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [taylor]: Taking taylor expansion of 0 in z
3.082 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.083 * [taylor]: Taking taylor expansion of 0 in z
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
3.086 * * * [progress]: simplifying candidates
3.087 * [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 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp 1)
  (exp (* (cbrt (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))))
  (exp (sqrt (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (exp 1)
  (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (exp (log (sqrt (/ 1 3.0))))
  (exp (log (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1))))
  (exp (log (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))))
  (exp (log (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1))))
  (exp (log (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))
  (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))))
  (exp (log (sqrt 3.0)))
  (exp (log (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0)))))
  (exp (log (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (exp (log (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))))
  (exp (log (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (log (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (exp (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (* (cbrt (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))) (cbrt (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))))
  (cbrt (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (* (* (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (sqrt (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (sqrt (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0))))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0))))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1))
  (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0)))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0)))
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
3.088 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))
 (exp 1/2)
 (exp 1)
 (exp (/ 1 2))
 (exp 1)
 (exp (* (cbrt (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))) (cbrt (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))))
 (exp (sqrt (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (exp 1)
 (exp (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (exp (log (sqrt (/ 1 h3))))
 (exp (log (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt 1))))
 (exp (log (* (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt h3))))
 (exp (log (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt 1))))
 (exp (log (* (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt h3))))
 (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))))
 (exp (log (sqrt h3)))
 (exp (log (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (/ 1 h3)))))
 (exp (log (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))))
 (exp (log (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (/ 1 h3)))))
 (exp (log (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0)))))
 (log (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (exp (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (* (cbrt (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))) (cbrt (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))))
 (cbrt (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (* (* (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))) (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))) (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (sqrt (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (sqrt (exp (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (+ (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (log (sqrt (/ 1 h3))))
 (log (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (exp (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (sqrt (/ 1 h3)) (sqrt (/ 1 h3))) (sqrt (/ 1 h3))))
 (* (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))) (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))))
 (cbrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (/ 1 h3))
 (sqrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (sqrt (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3))))
 (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt 1))
 (* (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt h3))
 (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt 1))
 (* (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt h3))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (* (cbrt (sqrt (/ 1 h3))) (cbrt (sqrt (/ 1 h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (* (cbrt (/ 1 h3)) (cbrt (/ 1 h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ (sqrt 1) 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 (* (cbrt h3) (cbrt h3)))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 (sqrt h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 1)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (sqrt (/ 1 h3))))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) 1)
 (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (/ 1 h3)))
 (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (/ 1 h3)))
 (* (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (/ 1 h3)))
 h0
 h2
 (* -1 h2)
 (* h0 (sqrt h4))
 (* h2 (sqrt h4))
 (* -1 (* h2 (sqrt h4)))
 (* h0 (sqrt h4))
 (* h2 (sqrt h4))
 (* -1 (* h2 (sqrt h4)))
3.149 * * * [progress]: adding candidates to table
3.402 * [progress]: [Phase 3 of 3] Extracting.
3.402 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.403 * * * [regime-changes]: Trying 10 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) z y x)
3.403 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.440 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.471 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.508 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.544 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>)
3.565 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.603 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>)
3.632 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.670 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>)
3.689 * * * * [regimes]: Trying to branch on (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.728 * * * * [regimes]: Trying to branch on (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.770 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.813 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.873 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
3.926 * * * [regime]: Found split indices: #<option (#s(si 4 21) #s(si 6 201) #s(si 8 255))>
3.927 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
4.008 * [regimes]: Found splitpoints: (#s(sp 4 x -2.8004366194075308e+135) #s(sp 6 x 2.2733836340085665e+132) #s(sp 8 x +nan.0)) , with alts (#<alt (λ (x y z) (exp (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (exp (log (* -1 (* x (sqrt 0.3333333333333333))))))> #<alt (λ (x y z) (* z (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* z (sqrt (/ 1 3.0))))))> #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (* x (sqrt (/ 1 3.0))))> #<alt (λ (x y z) (exp (log (* x (sqrt (/ 1 3.0))))))>)
4.009 * [simplify]: Simplifying:
  (if (<= x -2.8004366194075308e+135) (* -1 (* x (sqrt 0.3333333333333333))) (if (<= x 2.2733836340085665e+132) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* x (sqrt (/ 1 3.0)))))
4.009 * [simplify]: Sending expressions to egg_math:
 (if (<= h1 h6) (* -1 (* h1 (sqrt h5))) (if (<= h1 h4) (sqrt (* (sqrt (+ (+ (* h1 h1) (* h3 h3)) (* h2 h2))) (/ (sqrt (+ (+ (* h1 h1) (* h3 h3)) (* h2 h2))) h0))) (* h1 (sqrt (/ 1 h0)))))
5.206 * [regime-testing]: Baseline error score: 38.46386148492809
5.208 * [regime-testing]: Oracle error score: 18.59590601883162
5.213 * [regime-testing]: End program error score: 25.707772055851905
5.266 * [regime-testing]: Target error score: 26.009599230876265