280.584 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.055 * * [progress]: iteration 1 / 4
0.056 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.059 * * * [progress]: localizing error
0.073 * * * [progress]: generating rewritten candidates
0.073 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.130 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.142 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.187 * * * [progress]: generating series expansions
0.187 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.187 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.187 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.187 * [taylor]: Taking taylor expansion of x in z
0.187 * [backup-simplify]: Simplify x into x
0.187 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.187 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.187 * [taylor]: Taking taylor expansion of y in z
0.187 * [backup-simplify]: Simplify y into y
0.187 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.188 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.188 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.188 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.188 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.188 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.190 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.190 * [taylor]: Taking taylor expansion of x in y
0.190 * [backup-simplify]: Simplify x into x
0.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.190 * [taylor]: Taking taylor expansion of y in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.190 * [taylor]: Taking taylor expansion of z in y
0.190 * [backup-simplify]: Simplify z into z
0.190 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.190 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.190 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.190 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.190 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.191 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.191 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.192 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.192 * [taylor]: Taking taylor expansion of z in x
0.192 * [backup-simplify]: Simplify z into z
0.192 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.192 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.192 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.193 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.193 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.194 * [taylor]: Taking taylor expansion of x in x
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.194 * [taylor]: Taking taylor expansion of y in x
0.194 * [backup-simplify]: Simplify y into y
0.194 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.194 * [taylor]: Taking taylor expansion of z in x
0.194 * [backup-simplify]: Simplify z into z
0.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.194 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.194 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.194 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.195 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.195 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.196 * [taylor]: Taking taylor expansion of y in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.196 * [taylor]: Taking taylor expansion of z in y
0.196 * [backup-simplify]: Simplify z into z
0.196 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.196 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.196 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.196 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
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 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in z
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [taylor]: Taking taylor expansion of 0 in z
0.197 * [backup-simplify]: Simplify 0 into 0
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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.198 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.200 * [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)))))
0.200 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.200 * [taylor]: Taking taylor expansion of 1/2 in y
0.200 * [backup-simplify]: Simplify 1/2 into 1/2
0.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.200 * [taylor]: Taking taylor expansion of z in y
0.200 * [backup-simplify]: Simplify z into z
0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.200 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.200 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.200 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.201 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.201 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.201 * [taylor]: Taking taylor expansion of 1/2 in z
0.201 * [backup-simplify]: Simplify 1/2 into 1/2
0.201 * [taylor]: Taking taylor expansion of z in z
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (* 1 1) into 1
0.203 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.204 * [backup-simplify]: Simplify (+ 1 0) into 1
0.204 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.204 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.204 * [taylor]: Taking taylor expansion of 1/2 in z
0.204 * [backup-simplify]: Simplify 1/2 into 1/2
0.204 * [taylor]: Taking taylor expansion of z in z
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.206 * [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)))))
0.206 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.206 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.206 * [taylor]: Taking taylor expansion of x in z
0.206 * [backup-simplify]: Simplify x into x
0.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.207 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.207 * [taylor]: Taking taylor expansion of z in z
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.207 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.207 * [taylor]: Taking taylor expansion of y in z
0.207 * [backup-simplify]: Simplify y into y
0.207 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.208 * [backup-simplify]: Simplify (+ 1 0) into 1
0.208 * [backup-simplify]: Simplify (+ 0 1) into 1
0.209 * [backup-simplify]: Simplify (sqrt 1) into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.211 * [taylor]: Taking taylor expansion of x in y
0.211 * [backup-simplify]: Simplify x into x
0.211 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.211 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.211 * [taylor]: Taking taylor expansion of z in y
0.211 * [backup-simplify]: Simplify z into z
0.211 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.211 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.211 * [taylor]: Taking taylor expansion of y in y
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [backup-simplify]: Simplify (+ 0 1) into 1
0.212 * [backup-simplify]: Simplify (+ 0 1) into 1
0.212 * [backup-simplify]: Simplify (sqrt 1) into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.214 * [taylor]: Taking taylor expansion of x in x
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (/ 1 1) into 1
0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.215 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.215 * [taylor]: Taking taylor expansion of z in x
0.215 * [backup-simplify]: Simplify z into z
0.215 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.215 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.215 * [taylor]: Taking taylor expansion of y in x
0.215 * [backup-simplify]: Simplify y into y
0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.218 * [backup-simplify]: Simplify (+ 1 0) into 1
0.219 * [backup-simplify]: Simplify (sqrt 1) into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (* 1 1) into 1
0.221 * [backup-simplify]: Simplify (/ 1 1) into 1
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.221 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.221 * [taylor]: Taking taylor expansion of z in x
0.221 * [backup-simplify]: Simplify z into z
0.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.221 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.221 * [taylor]: Taking taylor expansion of y in x
0.221 * [backup-simplify]: Simplify y into y
0.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.221 * [backup-simplify]: Simplify (+ 1 0) into 1
0.222 * [backup-simplify]: Simplify (sqrt 1) into 1
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.223 * [taylor]: Taking taylor expansion of 1 in y
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of 0 in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [taylor]: Taking taylor expansion of 1 in z
0.223 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.225 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.225 * [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))))
0.226 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.226 * [taylor]: Taking taylor expansion of 1/2 in y
0.226 * [backup-simplify]: Simplify 1/2 into 1/2
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.226 * [taylor]: Taking taylor expansion of z in y
0.226 * [backup-simplify]: Simplify z into z
0.226 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.226 * [taylor]: Taking taylor expansion of y in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.226 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ 0 1) into 1
0.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.231 * [taylor]: Taking taylor expansion of 0 in y
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.232 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow z 2)) in z
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
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [taylor]: Taking taylor expansion of 0 in z
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [taylor]: Taking taylor expansion of 0 in z
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [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))))))
0.239 * [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
0.239 * [taylor]: Taking taylor expansion of -1/2 in y
0.239 * [backup-simplify]: Simplify -1/2 into -1/2
0.239 * [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
0.239 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.240 * [taylor]: Taking taylor expansion of 1/4 in y
0.240 * [backup-simplify]: Simplify 1/4 into 1/4
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.240 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.240 * [taylor]: Taking taylor expansion of z in y
0.240 * [backup-simplify]: Simplify z into z
0.240 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.240 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.240 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.240 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.240 * [taylor]: Taking taylor expansion of 1/2 in y
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.240 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.240 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.240 * [taylor]: Taking taylor expansion of z in y
0.240 * [backup-simplify]: Simplify z into z
0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.240 * [taylor]: Taking taylor expansion of y in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.241 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.241 * [taylor]: Taking taylor expansion of 1/4 in y
0.241 * [backup-simplify]: Simplify 1/4 into 1/4
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.241 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.243 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.252 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.252 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.254 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.255 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.256 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [taylor]: Taking taylor expansion of 0 in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [taylor]: Taking taylor expansion of 0 in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.262 * [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)))))
0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.262 * [taylor]: Taking taylor expansion of x in z
0.262 * [backup-simplify]: Simplify x into x
0.262 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.262 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.262 * [taylor]: Taking taylor expansion of z in z
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.263 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.263 * [taylor]: Taking taylor expansion of y in z
0.263 * [backup-simplify]: Simplify y into y
0.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (+ 0 1) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.266 * [taylor]: Taking taylor expansion of x in y
0.267 * [backup-simplify]: Simplify x into x
0.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.267 * [taylor]: Taking taylor expansion of z in y
0.267 * [backup-simplify]: Simplify z into z
0.267 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.267 * [taylor]: Taking taylor expansion of y in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.271 * [taylor]: Taking taylor expansion of x in x
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.272 * [taylor]: Taking taylor expansion of z in x
0.272 * [backup-simplify]: Simplify z into z
0.272 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.272 * [taylor]: Taking taylor expansion of y in x
0.272 * [backup-simplify]: Simplify y into y
0.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.273 * [backup-simplify]: Simplify (+ 1 0) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.275 * [taylor]: Taking taylor expansion of x in x
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
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.276 * [taylor]: Taking taylor expansion of z in x
0.276 * [backup-simplify]: Simplify z into z
0.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.276 * [taylor]: Taking taylor expansion of y in x
0.276 * [backup-simplify]: Simplify y into y
0.276 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.277 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [backup-simplify]: Simplify (sqrt 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of 1 in y
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of 0 in y
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 1 in z
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.281 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.282 * [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))))
0.282 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.282 * [taylor]: Taking taylor expansion of 1/2 in y
0.282 * [backup-simplify]: Simplify 1/2 into 1/2
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.282 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.282 * [taylor]: Taking taylor expansion of z in y
0.282 * [backup-simplify]: Simplify z into z
0.282 * [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 y
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.283 * [taylor]: Taking taylor expansion of y in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.286 * [taylor]: Taking taylor expansion of 0 in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [taylor]: Taking taylor expansion of 0 in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [taylor]: Taking taylor expansion of 0 in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.288 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in y
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.292 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.292 * [taylor]: Taking taylor expansion of 1/2 in z
0.292 * [backup-simplify]: Simplify 1/2 into 1/2
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.292 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.292 * [taylor]: Taking taylor expansion of z in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in z
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in z
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [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))))))
0.300 * [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
0.300 * [taylor]: Taking taylor expansion of -1/2 in y
0.300 * [backup-simplify]: Simplify -1/2 into -1/2
0.300 * [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
0.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.300 * [taylor]: Taking taylor expansion of 1/4 in y
0.300 * [backup-simplify]: Simplify 1/4 into 1/4
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.300 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.300 * [taylor]: Taking taylor expansion of z in y
0.300 * [backup-simplify]: Simplify z into z
0.300 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.300 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.300 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.300 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.300 * [taylor]: Taking taylor expansion of 1/2 in y
0.300 * [backup-simplify]: Simplify 1/2 into 1/2
0.300 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.300 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.300 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.300 * [taylor]: Taking taylor expansion of z in y
0.300 * [backup-simplify]: Simplify z into z
0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.300 * [taylor]: Taking taylor expansion of y in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.301 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.301 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.301 * [taylor]: Taking taylor expansion of 1/4 in y
0.301 * [backup-simplify]: Simplify 1/4 into 1/4
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.301 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.301 * [taylor]: Taking taylor expansion of y in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.303 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.310 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.310 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.311 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.312 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.312 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in z
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [taylor]: Taking taylor expansion of 0 in z
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.315 * [taylor]: Taking taylor expansion of 0 in z
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [taylor]: Taking taylor expansion of 0 in z
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [taylor]: Taking taylor expansion of 0 in z
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.318 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.318 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.318 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.318 * [taylor]: Taking taylor expansion of x in y
0.318 * [backup-simplify]: Simplify x into x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [backup-simplify]: Simplify y into y
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [backup-simplify]: Simplify y into y
0.319 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.319 * [taylor]: Taking taylor expansion of y in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.320 * [backup-simplify]: Simplify (+ 1 0) into 1
0.320 * [taylor]: Taking taylor expansion of 1 in y
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.328 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.329 * [taylor]: Taking taylor expansion of x in y
0.329 * [backup-simplify]: Simplify x into x
0.329 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.329 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.329 * [taylor]: Taking taylor expansion of y in y
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.330 * [taylor]: Taking taylor expansion of y in x
0.330 * [backup-simplify]: Simplify y into y
0.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.331 * [taylor]: Taking taylor expansion of y in x
0.331 * [backup-simplify]: Simplify y into y
0.331 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.332 * [backup-simplify]: Simplify (+ 1 0) into 1
0.332 * [taylor]: Taking taylor expansion of 1 in y
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [taylor]: Taking taylor expansion of 0 in y
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.335 * [taylor]: Taking taylor expansion of y in y
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in y
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.344 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.344 * [taylor]: Taking taylor expansion of x in y
0.344 * [backup-simplify]: Simplify x into x
0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.345 * [taylor]: Taking taylor expansion of y in y
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.345 * [taylor]: Taking taylor expansion of x in x
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.346 * [taylor]: Taking taylor expansion of y in x
0.346 * [backup-simplify]: Simplify y into y
0.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.346 * [taylor]: Taking taylor expansion of x in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.347 * [taylor]: Taking taylor expansion of y in x
0.347 * [backup-simplify]: Simplify y into y
0.347 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.348 * [backup-simplify]: Simplify (+ 1 0) into 1
0.348 * [taylor]: Taking taylor expansion of 1 in y
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [taylor]: Taking taylor expansion of 0 in y
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.351 * [taylor]: Taking taylor expansion of y in y
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [taylor]: Taking taylor expansion of 0 in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.359 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.360 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.360 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.360 * [taylor]: Taking taylor expansion of x in z
0.360 * [backup-simplify]: Simplify x into x
0.360 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.360 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.360 * [taylor]: Taking taylor expansion of y in z
0.360 * [backup-simplify]: Simplify y into y
0.360 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.360 * [taylor]: Taking taylor expansion of z in z
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.360 * [taylor]: Taking taylor expansion of x in y
0.360 * [backup-simplify]: Simplify x into x
0.360 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.360 * [taylor]: Taking taylor expansion of y in y
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.360 * [taylor]: Taking taylor expansion of z in y
0.360 * [backup-simplify]: Simplify z into z
0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.360 * [taylor]: Taking taylor expansion of x in x
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.361 * [taylor]: Taking taylor expansion of y in x
0.361 * [backup-simplify]: Simplify y into y
0.361 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.361 * [taylor]: Taking taylor expansion of z in x
0.361 * [backup-simplify]: Simplify z into z
0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.361 * [taylor]: Taking taylor expansion of x in x
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.361 * [taylor]: Taking taylor expansion of y in x
0.361 * [backup-simplify]: Simplify y into y
0.361 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.361 * [taylor]: Taking taylor expansion of z in x
0.361 * [backup-simplify]: Simplify z into z
0.361 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.361 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.361 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.361 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.361 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.362 * [taylor]: Taking taylor expansion of y in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.362 * [taylor]: Taking taylor expansion of z in y
0.362 * [backup-simplify]: Simplify z into z
0.362 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.362 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.362 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.362 * [taylor]: Taking taylor expansion of z in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.362 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [taylor]: Taking taylor expansion of 0 in y
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [taylor]: Taking taylor expansion of 0 in z
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [taylor]: Taking taylor expansion of 0 in z
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.364 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (+ 1 0) into 1
0.365 * [taylor]: Taking taylor expansion of 1 in y
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of 1 in z
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of 0 in z
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (* 1 1) into 1
0.366 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.366 * [backup-simplify]: Simplify (+ 1 0) into 1
0.366 * [taylor]: Taking taylor expansion of 1 in z
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.368 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.368 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.368 * [taylor]: Taking taylor expansion of x in z
0.368 * [backup-simplify]: Simplify x into x
0.368 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.368 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.368 * [taylor]: Taking taylor expansion of z in z
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.369 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.369 * [taylor]: Taking taylor expansion of y in z
0.369 * [backup-simplify]: Simplify y into y
0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.369 * [taylor]: Taking taylor expansion of x in y
0.369 * [backup-simplify]: Simplify x into x
0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.369 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.369 * [taylor]: Taking taylor expansion of z in y
0.370 * [backup-simplify]: Simplify z into z
0.370 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.370 * [taylor]: Taking taylor expansion of y in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.371 * [taylor]: Taking taylor expansion of z in x
0.371 * [backup-simplify]: Simplify z into z
0.371 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [backup-simplify]: Simplify y into y
0.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.372 * [taylor]: Taking taylor expansion of x in x
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
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.373 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.373 * [taylor]: Taking taylor expansion of z in x
0.373 * [backup-simplify]: Simplify z into z
0.373 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.373 * [taylor]: Taking taylor expansion of y in x
0.373 * [backup-simplify]: Simplify y into y
0.373 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.373 * [backup-simplify]: Simplify (+ 1 0) into 1
0.373 * [taylor]: Taking taylor expansion of 1 in y
0.373 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.377 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.377 * [taylor]: Taking taylor expansion of z in y
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 y
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [backup-simplify]: Simplify (+ 0 1) into 1
0.378 * [taylor]: Taking taylor expansion of 1 in z
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [taylor]: Taking taylor expansion of 1 in z
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.380 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.381 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.385 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [taylor]: Taking taylor expansion of 0 in y
0.386 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.388 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.388 * [taylor]: Taking taylor expansion of z in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [backup-simplify]: Simplify 1 into 1
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 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.391 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.391 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.391 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.391 * [taylor]: Taking taylor expansion of x in z
0.391 * [backup-simplify]: Simplify x into x
0.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.391 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.391 * [taylor]: Taking taylor expansion of z in z
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* 1 1) into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.392 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.392 * [taylor]: Taking taylor expansion of y in z
0.392 * [backup-simplify]: Simplify y into y
0.392 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.392 * [taylor]: Taking taylor expansion of x in y
0.392 * [backup-simplify]: Simplify x into x
0.392 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.392 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.392 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.392 * [taylor]: Taking taylor expansion of z in y
0.392 * [backup-simplify]: Simplify z into z
0.392 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.393 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.393 * [taylor]: Taking taylor expansion of y in y
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (* 1 1) into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.394 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.394 * [taylor]: Taking taylor expansion of z in x
0.394 * [backup-simplify]: Simplify z into z
0.394 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.394 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.394 * [taylor]: Taking taylor expansion of y in x
0.394 * [backup-simplify]: Simplify y into y
0.394 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.395 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.395 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.395 * [taylor]: Taking taylor expansion of z in x
0.395 * [backup-simplify]: Simplify z into z
0.396 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.396 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.396 * [taylor]: Taking taylor expansion of y in x
0.396 * [backup-simplify]: Simplify y into y
0.396 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.396 * [backup-simplify]: Simplify (+ 1 0) into 1
0.396 * [taylor]: Taking taylor expansion of 1 in y
0.396 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in y
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.400 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.400 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.400 * [taylor]: Taking taylor expansion of z in y
0.400 * [backup-simplify]: Simplify z into z
0.400 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.400 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.400 * [taylor]: Taking taylor expansion of y in y
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (* 1 1) into 1
0.401 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [backup-simplify]: Simplify (+ 0 1) into 1
0.401 * [taylor]: Taking taylor expansion of 1 in z
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [taylor]: Taking taylor expansion of 1 in z
0.401 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.403 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [taylor]: Taking taylor expansion of 0 in y
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [taylor]: Taking taylor expansion of 0 in z
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [taylor]: Taking taylor expansion of 0 in z
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [taylor]: Taking taylor expansion of 0 in z
0.405 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in y
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.411 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.411 * [taylor]: Taking taylor expansion of z in z
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of 0 in z
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [taylor]: Taking taylor expansion of 0 in z
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.413 * * * [progress]: simplifying candidates
0.414 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
1.927 * * * [progress]: adding candidates to table
2.104 * * [progress]: iteration 2 / 4
2.104 * * * [progress]: picking best candidate
2.108 * * * * [pick]: Picked  #<alt (λ (x y z) (* -1 x))>
2.108 * * * [progress]: localizing error
2.110 * * * [progress]: generating rewritten candidates
2.110 * * * [progress]: generating series expansions
2.110 * * * [progress]: simplifying candidates
2.110 * [simplify]: Simplifying:
  
2.121 * * * [progress]: adding candidates to table
2.121 * * [progress]: iteration 3 / 4
2.121 * * * [progress]: picking best candidate
2.123 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
2.123 * * * [progress]: localizing error
2.124 * * * [progress]: generating rewritten candidates
2.124 * * * [progress]: generating series expansions
2.124 * * * [progress]: simplifying candidates
2.124 * [simplify]: Simplifying:
  
2.136 * * * [progress]: adding candidates to table
2.136 * * [progress]: iteration 4 / 4
2.136 * * * [progress]: picking best candidate
2.137 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
2.138 * * * [progress]: localizing error
2.139 * * * [progress]: generating rewritten candidates
2.139 * * * [progress]: generating series expansions
2.139 * * * [progress]: simplifying candidates
2.139 * [simplify]: Simplifying:
  
2.155 * * * [progress]: adding candidates to table
2.155 * [progress]: [Phase 3 of 3] Extracting.
2.155 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.156 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
2.156 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.192 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
2.214 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.234 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.255 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.272 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.296 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.322 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.348 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.382 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.441 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.502 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.539 * * * [regime]: Found split indices: #<option (#s(si 1 53) #s(si 2 210) #s(si 0 255))>
2.539 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.606 * [regimes]: Found splitpoints: (#s(sp 1 x -2.344189575344255e+116) #s(sp 2 x 1.0387356868587109e+130) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
2.606 * [simplify]: Simplifying:
  (if (<= x -2.344189575344255e+116) (* -1 x) (if (<= x 1.0387356868587109e+130) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
3.683 * [regime-testing]: Baseline error score: 38.399111008525004
3.685 * [regime-testing]: Oracle error score: 18.5178271620158
3.690 * [regime-testing]: End program error score: 25.582276694554267
3.730 * [regime-testing]: Target error score: 25.907658611686095