45.367 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.025 * * [simplify]: iteration 0: 9 enodes
0.026 * * [simplify]: iteration 1: 14 enodes
0.028 * * [simplify]: iteration 2: 24 enodes
0.031 * * [simplify]: iteration 3: 31 enodes
0.037 * * [simplify]: iteration complete: 31 enodes
0.037 * * [simplify]: Extracting #0: cost 1 inf + 0
0.037 * * [simplify]: Extracting #1: cost 2 inf + 0
0.037 * * [simplify]: Extracting #2: cost 11 inf + 0
0.038 * * [simplify]: Extracting #3: cost 7 inf + 6
0.038 * * [simplify]: Extracting #4: cost 0 inf + 49
0.038 * [simplify]: Simplified to:
  (sqrt (fma z z (fma y y (* x x))))
0.057 * * [progress]: iteration 1 / 4
0.057 * * * [progress]: picking best candidate
0.063 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.064 * * * [progress]: localizing error
0.090 * * * [progress]: generating rewritten candidates
0.090 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.131 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.168 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
0.183 * * * [progress]: generating series expansions
0.183 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.183 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.183 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.183 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.184 * [taylor]: Taking taylor expansion of y in z
0.184 * [backup-simplify]: Simplify y into y
0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.184 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.184 * [taylor]: Taking taylor expansion of x in z
0.184 * [backup-simplify]: Simplify x into x
0.184 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.184 * [taylor]: Taking taylor expansion of z in z
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.184 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.184 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.184 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.185 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.185 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.187 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.187 * [taylor]: Taking taylor expansion of y in y
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.187 * [taylor]: Taking taylor expansion of x in y
0.187 * [backup-simplify]: Simplify x into x
0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.187 * [taylor]: Taking taylor expansion of z in y
0.187 * [backup-simplify]: Simplify z into z
0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.187 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.188 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.188 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.188 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.188 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.188 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) 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 z 2) (pow x 2))))) into 0
0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.190 * [taylor]: Taking taylor expansion of y in x
0.190 * [backup-simplify]: Simplify y into y
0.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.190 * [taylor]: Taking taylor expansion of x in x
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 x
0.190 * [taylor]: Taking taylor expansion of z in x
0.190 * [backup-simplify]: Simplify z into z
0.190 * [backup-simplify]: Simplify (* y y) into (pow y 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)
0.191 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.191 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.191 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.193 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.193 * [taylor]: Taking taylor expansion of y in x
0.193 * [backup-simplify]: Simplify y into y
0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.193 * [taylor]: Taking taylor expansion of x in x
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.193 * [taylor]: Taking taylor expansion of z in x
0.193 * [backup-simplify]: Simplify z into z
0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.193 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.193 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.193 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.194 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.194 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.194 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.195 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.195 * [taylor]: Taking taylor expansion of y in y
0.195 * [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
0.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.198 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.200 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [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)))))
0.201 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.201 * [taylor]: Taking taylor expansion of 1/2 in y
0.201 * [backup-simplify]: Simplify 1/2 into 1/2
0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.201 * [taylor]: Taking taylor expansion of y in y
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.201 * [taylor]: Taking taylor expansion of z in y
0.201 * [backup-simplify]: Simplify z into z
0.202 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.202 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.202 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.202 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.202 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.203 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.203 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.203 * [taylor]: Taking taylor expansion of 1/2 in z
0.203 * [backup-simplify]: Simplify 1/2 into 1/2
0.203 * [taylor]: Taking taylor expansion of z in z
0.203 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [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 * [taylor]: Taking taylor expansion of 0 in z
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.207 * [backup-simplify]: Simplify (+ 1 0) into 1
0.208 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.208 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.208 * [taylor]: Taking taylor expansion of 1/2 in z
0.208 * [backup-simplify]: Simplify 1/2 into 1/2
0.208 * [taylor]: Taking taylor expansion of z in z
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.211 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.211 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.211 * [taylor]: Taking taylor expansion of y in z
0.211 * [backup-simplify]: Simplify y into y
0.211 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.211 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.211 * [taylor]: Taking taylor expansion of x in z
0.211 * [backup-simplify]: Simplify x into x
0.211 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.212 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.212 * [taylor]: Taking taylor expansion of z in z
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [backup-simplify]: Simplify (+ 0 1) into 1
0.214 * [backup-simplify]: Simplify (+ 0 1) into 1
0.214 * [backup-simplify]: Simplify (sqrt 1) into 1
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.218 * [taylor]: Taking taylor expansion of x in y
0.218 * [backup-simplify]: Simplify x into x
0.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.219 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.219 * [taylor]: Taking taylor expansion of z in y
0.219 * [backup-simplify]: Simplify z into z
0.219 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.219 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.219 * [backup-simplify]: Simplify (+ 1 0) into 1
0.220 * [backup-simplify]: Simplify (sqrt 1) into 1
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.222 * [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 (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.223 * [taylor]: Taking taylor expansion of y in x
0.223 * [backup-simplify]: Simplify y into y
0.223 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.223 * [taylor]: Taking taylor expansion of x in x
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.224 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.224 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.224 * [taylor]: Taking taylor expansion of z in x
0.224 * [backup-simplify]: Simplify z into z
0.225 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.225 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.225 * [backup-simplify]: Simplify (+ 1 0) into 1
0.226 * [backup-simplify]: Simplify (+ 0 1) into 1
0.226 * [backup-simplify]: Simplify (sqrt 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.229 * [taylor]: Taking taylor expansion of y in x
0.229 * [backup-simplify]: Simplify y into y
0.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.230 * [taylor]: Taking taylor expansion of x in x
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.231 * [taylor]: Taking taylor expansion of z in x
0.231 * [backup-simplify]: Simplify z into z
0.231 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (+ 0 1) into 1
0.233 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.236 * [taylor]: Taking taylor expansion of 1 in y
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of 0 in y
0.236 * [backup-simplify]: Simplify 0 into 0
0.237 * [taylor]: Taking taylor expansion of 1 in z
0.237 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.241 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.241 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.241 * [taylor]: Taking taylor expansion of 1/2 in y
0.241 * [backup-simplify]: Simplify 1/2 into 1/2
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.241 * [taylor]: Taking taylor expansion of (pow y 2) 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
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.242 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.242 * [taylor]: Taking taylor expansion of z in y
0.242 * [backup-simplify]: Simplify z into z
0.242 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.243 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in z
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.251 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.255 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.256 * [taylor]: Taking taylor expansion of 1/2 in z
0.256 * [backup-simplify]: Simplify 1/2 into 1/2
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.256 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.256 * [taylor]: Taking taylor expansion of z in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [taylor]: Taking taylor expansion of 0 in z
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [taylor]: Taking taylor expansion of 0 in z
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.268 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.268 * [taylor]: Taking taylor expansion of -1/2 in y
0.268 * [backup-simplify]: Simplify -1/2 into -1/2
0.268 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.268 * [taylor]: Taking taylor expansion of 1/2 in y
0.268 * [backup-simplify]: Simplify 1/2 into 1/2
0.268 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.268 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.268 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.268 * [taylor]: Taking taylor expansion of z in y
0.268 * [backup-simplify]: Simplify z into z
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.268 * [taylor]: Taking taylor expansion of y in y
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.269 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.269 * [taylor]: Taking taylor expansion of 1/4 in y
0.269 * [backup-simplify]: Simplify 1/4 into 1/4
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.269 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.269 * [taylor]: Taking taylor expansion of y in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.271 * [taylor]: Taking taylor expansion of 1/4 in y
0.271 * [backup-simplify]: Simplify 1/4 into 1/4
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.271 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.271 * [taylor]: Taking taylor expansion of z in y
0.271 * [backup-simplify]: Simplify z into z
0.271 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.271 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.271 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.273 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) 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 (* 1/4 1) into 1/4
0.290 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.290 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.292 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.301 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.301 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.301 * [taylor]: Taking taylor expansion of y in z
0.301 * [backup-simplify]: Simplify y into y
0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.302 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.302 * [taylor]: Taking taylor expansion of x in z
0.302 * [backup-simplify]: Simplify x into x
0.302 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.302 * [taylor]: Taking taylor expansion of z in z
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (+ 0 1) into 1
0.303 * [backup-simplify]: Simplify (+ 0 1) into 1
0.304 * [backup-simplify]: Simplify (sqrt 1) into 1
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.306 * [taylor]: Taking taylor expansion of y in y
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.306 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.306 * [taylor]: Taking taylor expansion of x in y
0.306 * [backup-simplify]: Simplify x into x
0.306 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.306 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.306 * [taylor]: Taking taylor expansion of z in y
0.306 * [backup-simplify]: Simplify z into z
0.306 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.307 * [backup-simplify]: Simplify (+ 1 0) into 1
0.307 * [backup-simplify]: Simplify (sqrt 1) into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.309 * [backup-simplify]: Simplify y into y
0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.310 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.310 * [taylor]: Taking taylor expansion of z in x
0.310 * [backup-simplify]: Simplify z into z
0.310 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.311 * [backup-simplify]: Simplify (+ 0 1) into 1
0.313 * [backup-simplify]: Simplify (sqrt 1) into 1
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.315 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.315 * [taylor]: Taking taylor expansion of y in x
0.315 * [backup-simplify]: Simplify y into y
0.315 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.315 * [taylor]: Taking taylor expansion of x in x
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.316 * [taylor]: Taking taylor expansion of z in x
0.316 * [backup-simplify]: Simplify z into z
0.316 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.316 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.316 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (+ 0 1) into 1
0.317 * [backup-simplify]: Simplify (sqrt 1) into 1
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.319 * [taylor]: Taking taylor expansion of 1 in y
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of 1 in z
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.321 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.322 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.322 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.322 * [taylor]: Taking taylor expansion of 1/2 in y
0.322 * [backup-simplify]: Simplify 1/2 into 1/2
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.322 * [taylor]: Taking taylor expansion of y in y
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.322 * [taylor]: Taking taylor expansion of z in y
0.322 * [backup-simplify]: Simplify z into z
0.322 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (+ 1 0) into 1
0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [taylor]: Taking taylor expansion of 0 in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [taylor]: Taking taylor expansion of 0 in z
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in y
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.335 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.335 * [taylor]: Taking taylor expansion of 1/2 in z
0.335 * [backup-simplify]: Simplify 1/2 into 1/2
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.335 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.335 * [taylor]: Taking taylor expansion of z in z
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 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [taylor]: Taking taylor expansion of 0 in z
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [taylor]: Taking taylor expansion of 0 in z
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.346 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.346 * [taylor]: Taking taylor expansion of -1/2 in y
0.346 * [backup-simplify]: Simplify -1/2 into -1/2
0.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.346 * [taylor]: Taking taylor expansion of 1/2 in y
0.346 * [backup-simplify]: Simplify 1/2 into 1/2
0.346 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.346 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.346 * [taylor]: Taking taylor expansion of z in y
0.346 * [backup-simplify]: Simplify z into z
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.348 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.348 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.348 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.348 * [taylor]: Taking taylor expansion of 1/4 in y
0.348 * [backup-simplify]: Simplify 1/4 into 1/4
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.348 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.348 * [taylor]: Taking taylor expansion of y in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.349 * [taylor]: Taking taylor expansion of 1/4 in y
0.349 * [backup-simplify]: Simplify 1/4 into 1/4
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.349 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.349 * [taylor]: Taking taylor expansion of z in y
0.349 * [backup-simplify]: Simplify z into z
0.349 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.350 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.350 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.351 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.366 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.367 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.368 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in z
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [taylor]: Taking taylor expansion of 0 in z
0.368 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in z
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of 0 in z
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of 0 in z
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.376 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.376 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.376 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
0.376 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.376 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.376 * [taylor]: Taking taylor expansion of y in z
0.376 * [backup-simplify]: Simplify y into y
0.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.376 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.376 * [taylor]: Taking taylor expansion of x in z
0.376 * [backup-simplify]: Simplify x into x
0.376 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.376 * [taylor]: Taking taylor expansion of z in z
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.377 * [taylor]: Taking taylor expansion of x in y
0.377 * [backup-simplify]: Simplify x into x
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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.377 * [taylor]: Taking taylor expansion of z in x
0.377 * [backup-simplify]: Simplify z into z
0.377 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.377 * [taylor]: Taking taylor expansion of z in x
0.377 * [backup-simplify]: Simplify z into z
0.378 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.378 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.378 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.378 * [taylor]: Taking taylor expansion of y in y
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.378 * [taylor]: Taking taylor expansion of z in y
0.378 * [backup-simplify]: Simplify z into z
0.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.378 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.379 * [taylor]: Taking taylor expansion of z in z
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.379 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [taylor]: Taking taylor expansion of 0 in y
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [taylor]: Taking taylor expansion of 0 in z
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [taylor]: Taking taylor expansion of 0 in z
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.381 * [backup-simplify]: Simplify (+ 1 0) into 1
0.381 * [backup-simplify]: Simplify (+ 0 1) into 1
0.381 * [taylor]: Taking taylor expansion of 1 in y
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [taylor]: Taking taylor expansion of 1 in z
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [taylor]: Taking taylor expansion of 0 in z
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.382 * [backup-simplify]: Simplify (+ 1 0) into 1
0.382 * [taylor]: Taking taylor expansion of 1 in z
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.384 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.384 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.384 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.384 * [taylor]: Taking taylor expansion of y in z
0.384 * [backup-simplify]: Simplify y into y
0.384 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.384 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.384 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.384 * [taylor]: Taking taylor expansion of x in z
0.384 * [backup-simplify]: Simplify x into x
0.384 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.384 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.384 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.384 * [taylor]: Taking taylor expansion of z in z
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.385 * [taylor]: Taking taylor expansion of y in y
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.386 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.386 * [taylor]: Taking taylor expansion of x in y
0.386 * [backup-simplify]: Simplify x into x
0.386 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.386 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.386 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.386 * [taylor]: Taking taylor expansion of z in y
0.386 * [backup-simplify]: Simplify z into z
0.386 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.386 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.386 * [taylor]: Taking taylor expansion of y in x
0.386 * [backup-simplify]: Simplify y into y
0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.386 * [taylor]: Taking taylor expansion of x in x
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.387 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.387 * [taylor]: Taking taylor expansion of z in x
0.387 * [backup-simplify]: Simplify z into z
0.387 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.387 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.387 * [taylor]: Taking taylor expansion of y in x
0.387 * [backup-simplify]: Simplify y into y
0.387 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.387 * [taylor]: Taking taylor expansion of x in x
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (* 1 1) into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.388 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.388 * [taylor]: Taking taylor expansion of z in x
0.388 * [backup-simplify]: Simplify z into z
0.388 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.388 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.389 * [backup-simplify]: Simplify (+ 1 0) into 1
0.389 * [backup-simplify]: Simplify (+ 0 1) into 1
0.389 * [taylor]: Taking taylor expansion of 1 in y
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [taylor]: Taking taylor expansion of 0 in y
0.390 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.392 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.392 * [taylor]: Taking taylor expansion of y in y
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [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 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)
0.392 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.393 * [backup-simplify]: Simplify (+ 1 0) into 1
0.393 * [taylor]: Taking taylor expansion of 1 in z
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [taylor]: Taking taylor expansion of 1 in z
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [taylor]: Taking taylor expansion of 0 in y
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [taylor]: Taking taylor expansion of 0 in z
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [taylor]: Taking taylor expansion of 0 in z
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [taylor]: Taking taylor expansion of 0 in z
0.396 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in y
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.401 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.401 * [taylor]: Taking taylor expansion of z in z
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (* 1 1) into 1
0.401 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [taylor]: Taking taylor expansion of 0 in z
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [taylor]: Taking taylor expansion of 0 in z
0.401 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.403 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.403 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.403 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.403 * [taylor]: Taking taylor expansion of y in z
0.403 * [backup-simplify]: Simplify y into y
0.403 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.403 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.403 * [taylor]: Taking taylor expansion of x in z
0.403 * [backup-simplify]: Simplify x into x
0.403 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.403 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.403 * [taylor]: Taking taylor expansion of z in z
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.404 * [taylor]: Taking taylor expansion of y in y
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.404 * [taylor]: Taking taylor expansion of x in y
0.404 * [backup-simplify]: Simplify x into x
0.404 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.404 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.404 * [taylor]: Taking taylor expansion of z in y
0.405 * [backup-simplify]: Simplify z into z
0.405 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.405 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.405 * [taylor]: Taking taylor expansion of y in x
0.405 * [backup-simplify]: Simplify y into y
0.405 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.405 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.405 * [taylor]: Taking taylor expansion of z in x
0.406 * [backup-simplify]: Simplify z into z
0.406 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.406 * [taylor]: Taking taylor expansion of y in x
0.406 * [backup-simplify]: Simplify y into y
0.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.406 * [taylor]: Taking taylor expansion of z in x
0.407 * [backup-simplify]: Simplify z into z
0.407 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.407 * [backup-simplify]: Simplify (+ 1 0) into 1
0.407 * [backup-simplify]: Simplify (+ 0 1) into 1
0.407 * [taylor]: Taking taylor expansion of 1 in y
0.407 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [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
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.410 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.410 * [taylor]: Taking taylor expansion of y in y
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.411 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.411 * [taylor]: Taking taylor expansion of z in y
0.411 * [backup-simplify]: Simplify z into z
0.411 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.411 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.412 * [backup-simplify]: Simplify (+ 1 0) into 1
0.412 * [taylor]: Taking taylor expansion of 1 in z
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of 1 in z
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in y
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [taylor]: Taking taylor expansion of 0 in z
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [taylor]: Taking taylor expansion of 0 in z
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [taylor]: Taking taylor expansion of 0 in z
0.418 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [taylor]: Taking taylor expansion of 0 in y
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.426 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.426 * [taylor]: Taking taylor expansion of z in z
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [taylor]: Taking taylor expansion of 0 in z
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [taylor]: Taking taylor expansion of 0 in z
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.429 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
0.429 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.429 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.429 * [taylor]: Taking taylor expansion of y in y
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.429 * [taylor]: Taking taylor expansion of x in y
0.429 * [backup-simplify]: Simplify x into x
0.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.429 * [taylor]: Taking taylor expansion of y in x
0.429 * [backup-simplify]: Simplify y into y
0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.429 * [taylor]: Taking taylor expansion of x in x
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.430 * [taylor]: Taking taylor expansion of y in x
0.430 * [backup-simplify]: Simplify y into y
0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.430 * [taylor]: Taking taylor expansion of x in x
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.430 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.430 * [taylor]: Taking taylor expansion of y in y
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [taylor]: Taking taylor expansion of 0 in y
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.432 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (+ 0 1) into 1
0.432 * [taylor]: Taking taylor expansion of 1 in y
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.433 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in y
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [taylor]: Taking taylor expansion of 0 in y
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.439 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.439 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.439 * [taylor]: Taking taylor expansion of y in y
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.440 * [taylor]: Taking taylor expansion of x in y
0.440 * [backup-simplify]: Simplify x into x
0.440 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.441 * [taylor]: Taking taylor expansion of y in x
0.441 * [backup-simplify]: Simplify y into y
0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.441 * [taylor]: Taking taylor expansion of x in x
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.442 * [taylor]: Taking taylor expansion of y in x
0.442 * [backup-simplify]: Simplify y into y
0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.442 * [taylor]: Taking taylor expansion of x in x
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [backup-simplify]: Simplify (+ 0 1) into 1
0.444 * [taylor]: Taking taylor expansion of 1 in y
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.448 * [taylor]: Taking taylor expansion of y in y
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [taylor]: Taking taylor expansion of 0 in y
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [taylor]: Taking taylor expansion of 0 in y
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.460 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.461 * [taylor]: Taking taylor expansion of x in y
0.461 * [backup-simplify]: Simplify x into x
0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.461 * [taylor]: Taking taylor expansion of y in x
0.461 * [backup-simplify]: Simplify y into y
0.461 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.462 * [taylor]: Taking taylor expansion of y in x
0.462 * [backup-simplify]: Simplify y into y
0.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.462 * [taylor]: Taking taylor expansion of x in x
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [backup-simplify]: Simplify (+ 0 1) into 1
0.463 * [taylor]: Taking taylor expansion of 1 in y
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.464 * [taylor]: Taking taylor expansion of 0 in y
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.465 * [taylor]: Taking taylor expansion of y in y
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [taylor]: Taking taylor expansion of 0 in y
0.467 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [taylor]: Taking taylor expansion of 0 in y
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.472 * * * [progress]: simplifying candidates
0.473 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (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))
  z
  x
  (* -1 x)
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.474 * * [simplify]: iteration 0: 80 enodes
0.504 * * [simplify]: iteration 1: 253 enodes
0.703 * * [simplify]: iteration 2: 1568 enodes
1.605 * * [simplify]: iteration complete: 5001 enodes
1.605 * * [simplify]: Extracting #0: cost 46 inf + 0
1.607 * * [simplify]: Extracting #1: cost 502 inf + 6
1.612 * * [simplify]: Extracting #2: cost 1601 inf + 375
1.620 * * [simplify]: Extracting #3: cost 921 inf + 4468
1.642 * * [simplify]: Extracting #4: cost 203 inf + 10984
1.654 * * [simplify]: Extracting #5: cost 32 inf + 12361
1.667 * * [simplify]: Extracting #6: cost 0 inf + 12638
1.679 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x (fma y y (* z z)))))
  (log1p (sqrt (fma x x (fma y y (* z z)))))
  (log (sqrt (fma x x (fma y y (* z z)))))
  (exp (sqrt (fma x x (fma y y (* z z)))))
  (* (cbrt (sqrt (fma x x (fma y y (* z z))))) (cbrt (sqrt (fma x x (fma y y (* z z))))))
  (cbrt (sqrt (fma x x (fma y y (* z z)))))
  (pow (sqrt (fma x x (fma y y (* z z)))) 3)
  (fabs (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  1
  (sqrt (fma x x (fma y y (* z z))))
  (hypot (pow z 3) (pow (fma y y (* x x)) 3/2))
  (sqrt (- (fma (fma y y (* x x)) (fma y y (* x x)) (pow z 4)) (* (fma y y (* x x)) (* z z))))
  (sqrt (fma (fma y y (* x x)) (fma y y (* x x)) (- (pow z 4))))
  (sqrt (fma y y (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (expm1 (fma x x (fma y y (* z z))))
  (log1p (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (log (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (* (cbrt (fma x x (fma y y (* z z)))) (cbrt (fma x x (fma y y (* z z)))))
  (cbrt (fma x x (fma y y (* z z))))
  (pow (fma x x (fma y y (* z z))) 3)
  (sqrt (fma x x (fma y y (* z z))))
  (sqrt (fma x x (fma y y (* z z))))
  (+ (pow (fma y y (* x x)) 3) (pow z 6))
  (- (fma (fma y y (* x x)) (fma y y (* x x)) (pow z 4)) (* (fma y y (* x x)) (* z z)))
  (fma (fma y y (* x x)) (fma y y (* x x)) (- (pow z 4)))
  (fma y y (- (* x x) (* z z)))
  (fma y y (* z z))
  (expm1 (fma y y (* x x)))
  (log1p (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (log (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x))))
  (cbrt (fma y y (* x x)))
  (pow (fma y y (* x x)) 3)
  (hypot x y)
  (hypot x y)
  (+ (pow x 6) (pow y 6))
  (fma (* y y) (* (+ y x) (- y x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (fma y (- y) (* x x))
  z
  x
  (- x)
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
1.680 * * * [progress]: adding candidates to table
2.053 * * [progress]: iteration 2 / 4
2.053 * * * [progress]: picking best candidate
2.063 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
2.063 * * * [progress]: localizing error
2.074 * * * [progress]: generating rewritten candidates
2.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
2.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
2.100 * * * [progress]: generating series expansions
2.100 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
2.100 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
2.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
2.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
2.101 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.101 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.101 * [taylor]: Taking taylor expansion of y in y
2.101 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify 1 into 1
2.101 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.101 * [taylor]: Taking taylor expansion of x in y
2.101 * [backup-simplify]: Simplify x into x
2.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.101 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.101 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.101 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.102 * [backup-simplify]: Simplify (+ 0 0) into 0
2.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
2.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.102 * [taylor]: Taking taylor expansion of y in x
2.102 * [backup-simplify]: Simplify y into y
2.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.102 * [taylor]: Taking taylor expansion of x in x
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.103 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.103 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
2.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.104 * [taylor]: Taking taylor expansion of y in x
2.104 * [backup-simplify]: Simplify y into y
2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.104 * [taylor]: Taking taylor expansion of x in x
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.104 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.104 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.105 * [taylor]: Taking taylor expansion of y in y
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [taylor]: Taking taylor expansion of 0 in y
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.106 * [backup-simplify]: Simplify (* 1 1) into 1
2.107 * [backup-simplify]: Simplify (+ 0 1) into 1
2.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.108 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.108 * [taylor]: Taking taylor expansion of 1/2 in y
2.108 * [backup-simplify]: Simplify 1/2 into 1/2
2.108 * [taylor]: Taking taylor expansion of y in y
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.111 * [backup-simplify]: Simplify (+ 0 0) into 0
2.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.112 * [taylor]: Taking taylor expansion of 0 in y
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.113 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
2.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.114 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.114 * [taylor]: Taking taylor expansion of y in y
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (* 1 1) into 1
2.115 * [backup-simplify]: Simplify (/ 1 1) into 1
2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.115 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.115 * [taylor]: Taking taylor expansion of x in y
2.115 * [backup-simplify]: Simplify x into x
2.115 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.115 * [backup-simplify]: Simplify (+ 1 0) into 1
2.116 * [backup-simplify]: Simplify (sqrt 1) into 1
2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.119 * [taylor]: Taking taylor expansion of y in x
2.119 * [backup-simplify]: Simplify y into y
2.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.119 * [taylor]: Taking taylor expansion of x in x
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.120 * [backup-simplify]: Simplify (* 1 1) into 1
2.120 * [backup-simplify]: Simplify (/ 1 1) into 1
2.121 * [backup-simplify]: Simplify (+ 0 1) into 1
2.121 * [backup-simplify]: Simplify (sqrt 1) into 1
2.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.128 * [backup-simplify]: Simplify (+ 0 0) into 0
2.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.129 * [taylor]: Taking taylor expansion of y in x
2.129 * [backup-simplify]: Simplify y into y
2.130 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.130 * [taylor]: Taking taylor expansion of x in x
2.130 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (* 1 1) into 1
2.131 * [backup-simplify]: Simplify (/ 1 1) into 1
2.131 * [backup-simplify]: Simplify (+ 0 1) into 1
2.132 * [backup-simplify]: Simplify (sqrt 1) into 1
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 0) into 0
2.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.135 * [taylor]: Taking taylor expansion of 1 in y
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [taylor]: Taking taylor expansion of 0 in y
2.135 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify 1 into 1
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.139 * [taylor]: Taking taylor expansion of 1/2 in y
2.139 * [backup-simplify]: Simplify 1/2 into 1/2
2.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.139 * [taylor]: Taking taylor expansion of y in y
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (* 1 1) into 1
2.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (+ 0 0) into 0
2.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.145 * [taylor]: Taking taylor expansion of 0 in y
2.145 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.148 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.148 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
2.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.148 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.148 * [taylor]: Taking taylor expansion of y in y
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (* 1 1) into 1
2.149 * [backup-simplify]: Simplify (/ 1 1) into 1
2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.149 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.149 * [taylor]: Taking taylor expansion of x in y
2.149 * [backup-simplify]: Simplify x into x
2.149 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.149 * [backup-simplify]: Simplify (+ 1 0) into 1
2.150 * [backup-simplify]: Simplify (sqrt 1) into 1
2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.152 * [backup-simplify]: Simplify (+ 0 0) into 0
2.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.153 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.153 * [taylor]: Taking taylor expansion of y in x
2.153 * [backup-simplify]: Simplify y into y
2.153 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.154 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.154 * [taylor]: Taking taylor expansion of x in x
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [backup-simplify]: Simplify (* 1 1) into 1
2.154 * [backup-simplify]: Simplify (/ 1 1) into 1
2.155 * [backup-simplify]: Simplify (+ 0 1) into 1
2.155 * [backup-simplify]: Simplify (sqrt 1) into 1
2.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.157 * [backup-simplify]: Simplify (+ 0 0) into 0
2.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.158 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.158 * [taylor]: Taking taylor expansion of y in x
2.158 * [backup-simplify]: Simplify y into y
2.158 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.158 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.158 * [taylor]: Taking taylor expansion of x in x
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 1 into 1
2.159 * [backup-simplify]: Simplify (* 1 1) into 1
2.159 * [backup-simplify]: Simplify (/ 1 1) into 1
2.160 * [backup-simplify]: Simplify (+ 0 1) into 1
2.160 * [backup-simplify]: Simplify (sqrt 1) into 1
2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.163 * [taylor]: Taking taylor expansion of 1 in y
2.163 * [backup-simplify]: Simplify 1 into 1
2.163 * [taylor]: Taking taylor expansion of 0 in y
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 1 into 1
2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.165 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.166 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.166 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.166 * [taylor]: Taking taylor expansion of 1/2 in y
2.166 * [backup-simplify]: Simplify 1/2 into 1/2
2.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.167 * [taylor]: Taking taylor expansion of y in y
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify 1 into 1
2.167 * [backup-simplify]: Simplify (* 1 1) into 1
2.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.172 * [backup-simplify]: Simplify (+ 0 0) into 0
2.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.173 * [taylor]: Taking taylor expansion of 0 in y
2.173 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.175 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
2.176 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
2.176 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
2.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.176 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.176 * [taylor]: Taking taylor expansion of y in y
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.176 * [taylor]: Taking taylor expansion of x in y
2.176 * [backup-simplify]: Simplify x into x
2.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.176 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.176 * [taylor]: Taking taylor expansion of y in x
2.176 * [backup-simplify]: Simplify y into y
2.176 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.176 * [taylor]: Taking taylor expansion of x in x
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.176 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.176 * [taylor]: Taking taylor expansion of y in x
2.176 * [backup-simplify]: Simplify y into y
2.176 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.176 * [taylor]: Taking taylor expansion of x in x
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.176 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.176 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.177 * [taylor]: Taking taylor expansion of y in y
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.177 * [taylor]: Taking taylor expansion of 0 in y
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.178 * [backup-simplify]: Simplify (* 1 1) into 1
2.179 * [backup-simplify]: Simplify (+ 0 1) into 1
2.179 * [taylor]: Taking taylor expansion of 1 in y
2.179 * [backup-simplify]: Simplify 1 into 1
2.179 * [backup-simplify]: Simplify 1 into 1
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify (* 1 1) into 1
2.179 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.181 * [backup-simplify]: Simplify (+ 0 0) into 0
2.181 * [taylor]: Taking taylor expansion of 0 in y
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.182 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.184 * [backup-simplify]: Simplify (+ 0 0) into 0
2.184 * [taylor]: Taking taylor expansion of 0 in y
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
2.184 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.184 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.185 * [taylor]: Taking taylor expansion of y in y
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify 1 into 1
2.185 * [backup-simplify]: Simplify (* 1 1) into 1
2.185 * [backup-simplify]: Simplify (/ 1 1) into 1
2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.185 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.185 * [taylor]: Taking taylor expansion of x in y
2.185 * [backup-simplify]: Simplify x into x
2.185 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.185 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.185 * [taylor]: Taking taylor expansion of y in x
2.185 * [backup-simplify]: Simplify y into y
2.186 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.186 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.186 * [taylor]: Taking taylor expansion of x in x
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 1 into 1
2.186 * [backup-simplify]: Simplify (* 1 1) into 1
2.186 * [backup-simplify]: Simplify (/ 1 1) into 1
2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.186 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.186 * [taylor]: Taking taylor expansion of y in x
2.186 * [backup-simplify]: Simplify y into y
2.186 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.187 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.187 * [taylor]: Taking taylor expansion of x in x
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 1 into 1
2.187 * [backup-simplify]: Simplify (* 1 1) into 1
2.187 * [backup-simplify]: Simplify (/ 1 1) into 1
2.188 * [backup-simplify]: Simplify (+ 0 1) into 1
2.188 * [taylor]: Taking taylor expansion of 1 in y
2.188 * [backup-simplify]: Simplify 1 into 1
2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.189 * [backup-simplify]: Simplify (+ 0 0) into 0
2.189 * [taylor]: Taking taylor expansion of 0 in y
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.190 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.190 * [taylor]: Taking taylor expansion of y in y
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* 1 1) into 1
2.191 * [backup-simplify]: Simplify (/ 1 1) into 1
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.193 * [taylor]: Taking taylor expansion of 0 in y
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.196 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [taylor]: Taking taylor expansion of 0 in y
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
2.198 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.198 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.198 * [taylor]: Taking taylor expansion of y in y
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 1 into 1
2.198 * [backup-simplify]: Simplify (* 1 1) into 1
2.198 * [backup-simplify]: Simplify (/ 1 1) into 1
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.198 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.198 * [taylor]: Taking taylor expansion of x in y
2.198 * [backup-simplify]: Simplify x into x
2.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.198 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.198 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.199 * [taylor]: Taking taylor expansion of y in x
2.199 * [backup-simplify]: Simplify y into y
2.199 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.199 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.199 * [taylor]: Taking taylor expansion of x in x
2.199 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify (* 1 1) into 1
2.199 * [backup-simplify]: Simplify (/ 1 1) into 1
2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.199 * [taylor]: Taking taylor expansion of y in x
2.199 * [backup-simplify]: Simplify y into y
2.199 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.200 * [taylor]: Taking taylor expansion of x in x
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [backup-simplify]: Simplify (* 1 1) into 1
2.200 * [backup-simplify]: Simplify (/ 1 1) into 1
2.201 * [backup-simplify]: Simplify (+ 0 1) into 1
2.201 * [taylor]: Taking taylor expansion of 1 in y
2.201 * [backup-simplify]: Simplify 1 into 1
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.202 * [backup-simplify]: Simplify (+ 0 0) into 0
2.202 * [taylor]: Taking taylor expansion of 0 in y
2.202 * [backup-simplify]: Simplify 0 into 0
2.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.203 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.203 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.203 * [taylor]: Taking taylor expansion of y in y
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (* 1 1) into 1
2.204 * [backup-simplify]: Simplify (/ 1 1) into 1
2.204 * [backup-simplify]: Simplify 1 into 1
2.204 * [backup-simplify]: Simplify 1 into 1
2.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [taylor]: Taking taylor expansion of 0 in y
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.209 * [backup-simplify]: Simplify (+ 0 0) into 0
2.209 * [taylor]: Taking taylor expansion of 0 in y
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.210 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.210 * * * [progress]: simplifying candidates
2.211 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (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))
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
2.212 * * [simplify]: iteration 0: 52 enodes
2.221 * * [simplify]: iteration 1: 151 enodes
2.305 * * [simplify]: iteration 2: 823 enodes
2.807 * * [simplify]: iteration complete: 5001 enodes
2.807 * * [simplify]: Extracting #0: cost 32 inf + 0
2.809 * * [simplify]: Extracting #1: cost 408 inf + 4
2.818 * * [simplify]: Extracting #2: cost 1963 inf + 649
2.833 * * [simplify]: Extracting #3: cost 686 inf + 9532
2.848 * * [simplify]: Extracting #4: cost 89 inf + 14772
2.862 * * [simplify]: Extracting #5: cost 19 inf + 14972
2.881 * * [simplify]: Extracting #6: cost 0 inf + 15142
2.895 * [simplify]: Simplified to:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (pow (hypot y x) 3)
  (fabs (cbrt (fma y y (* x x))))
  (sqrt (cbrt (fma y y (* x x))))
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  1
  (hypot y x)
  (hypot (pow x 3) (pow y 3))
  (sqrt (fma (* (+ y x) (- y x)) (pow y 2) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  (expm1 (fma y y (* x x)))
  (log1p (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (* 2 (log (hypot y x)))
  (exp (fma y y (* x x)))
  (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x))))
  (cbrt (fma y y (* x x)))
  (pow (fma y y (* x x)) 3)
  (hypot y x)
  (hypot y x)
  (+ (pow y 6) (pow x 6))
  (fma (* (+ y x) (- y x)) (pow y 2) (pow x 4))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
2.896 * * * [progress]: adding candidates to table
3.134 * * [progress]: iteration 3 / 4
3.134 * * * [progress]: picking best candidate
3.137 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (* 1 (hypot y x)) z))>
3.137 * * * [progress]: localizing error
3.152 * * * [progress]: generating rewritten candidates
3.152 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2)
3.153 * * * [progress]: generating series expansions
3.153 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2)
3.153 * [backup-simplify]: Simplify (hypot y x) into (hypot y x)
3.153 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0
3.153 * [taylor]: Taking taylor expansion of (hypot y x) in x
3.154 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x)))
3.154 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x
3.154 * [taylor]: Taking taylor expansion of (* y y) in x
3.154 * [taylor]: Taking taylor expansion of y in x
3.154 * [backup-simplify]: Simplify y into y
3.154 * [taylor]: Taking taylor expansion of y in x
3.154 * [backup-simplify]: Simplify y into y
3.154 * [taylor]: Taking taylor expansion of (* x x) in x
3.154 * [taylor]: Taking taylor expansion of x in x
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [taylor]: Taking taylor expansion of x in x
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.155 * [backup-simplify]: Simplify (* 0 0) into 0
3.155 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.155 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.155 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.157 * [taylor]: Taking taylor expansion of (hypot y x) in y
3.157 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x)))
3.157 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y
3.157 * [taylor]: Taking taylor expansion of (* y y) in y
3.157 * [taylor]: Taking taylor expansion of y in y
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [taylor]: Taking taylor expansion of y in y
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [taylor]: Taking taylor expansion of (* x x) in y
3.158 * [taylor]: Taking taylor expansion of x in y
3.158 * [backup-simplify]: Simplify x into x
3.158 * [taylor]: Taking taylor expansion of x in y
3.158 * [backup-simplify]: Simplify x into x
3.158 * [backup-simplify]: Simplify (* 0 0) into 0
3.158 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.159 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.159 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.160 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.160 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.160 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.161 * [taylor]: Taking taylor expansion of (hypot y x) in y
3.161 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x)))
3.161 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y
3.161 * [taylor]: Taking taylor expansion of (* y y) in y
3.161 * [taylor]: Taking taylor expansion of y in y
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 1 into 1
3.161 * [taylor]: Taking taylor expansion of y in y
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 1 into 1
3.161 * [taylor]: Taking taylor expansion of (* x x) in y
3.161 * [taylor]: Taking taylor expansion of x in y
3.161 * [backup-simplify]: Simplify x into x
3.161 * [taylor]: Taking taylor expansion of x in y
3.161 * [backup-simplify]: Simplify x into x
3.162 * [backup-simplify]: Simplify (* 0 0) into 0
3.162 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.162 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.162 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.163 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.163 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.164 * [taylor]: Taking taylor expansion of x in x
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [taylor]: Taking taylor expansion of 0 in x
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.166 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.166 * [backup-simplify]: Simplify (+ 1 0) into 1
3.167 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
3.167 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
3.167 * [taylor]: Taking taylor expansion of 1/2 in x
3.167 * [backup-simplify]: Simplify 1/2 into 1/2
3.167 * [taylor]: Taking taylor expansion of x in x
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.171 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
3.172 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0
3.172 * [taylor]: Taking taylor expansion of 0 in x
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
3.174 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x))
3.174 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0
3.174 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x
3.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))
3.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x
3.174 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
3.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.174 * [taylor]: Taking taylor expansion of y in x
3.174 * [backup-simplify]: Simplify y into y
3.174 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.174 * [taylor]: Taking taylor expansion of y in x
3.174 * [backup-simplify]: Simplify y into y
3.174 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.174 * [taylor]: Taking taylor expansion of x in x
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.175 * [backup-simplify]: Simplify (/ 1 1) into 1
3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.175 * [taylor]: Taking taylor expansion of x in x
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 1 into 1
3.176 * [backup-simplify]: Simplify (/ 1 1) into 1
3.176 * [backup-simplify]: Simplify (* 1 1) into 1
3.176 * [backup-simplify]: Simplify (+ 0 1) into 1
3.177 * [backup-simplify]: Simplify (sqrt 1) into 1
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.180 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.181 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y
3.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))
3.181 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y
3.181 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
3.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.181 * [taylor]: Taking taylor expansion of y in y
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.181 * [taylor]: Taking taylor expansion of y in y
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (/ 1 1) into 1
3.182 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.182 * [taylor]: Taking taylor expansion of x in y
3.182 * [backup-simplify]: Simplify x into x
3.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.182 * [taylor]: Taking taylor expansion of x in y
3.182 * [backup-simplify]: Simplify x into x
3.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.183 * [backup-simplify]: Simplify (* 1 1) into 1
3.183 * [backup-simplify]: Simplify (+ 1 0) into 1
3.184 * [backup-simplify]: Simplify (sqrt 1) into 1
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.188 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y
3.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))
3.188 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y
3.188 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
3.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.188 * [taylor]: Taking taylor expansion of y in y
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 1 into 1
3.188 * [backup-simplify]: Simplify (/ 1 1) into 1
3.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.188 * [taylor]: Taking taylor expansion of y in y
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
3.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.189 * [taylor]: Taking taylor expansion of x in y
3.189 * [backup-simplify]: Simplify x into x
3.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.189 * [taylor]: Taking taylor expansion of x in y
3.189 * [backup-simplify]: Simplify x into x
3.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (+ 1 0) into 1
3.190 * [backup-simplify]: Simplify (sqrt 1) into 1
3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.194 * [taylor]: Taking taylor expansion of 1 in x
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [taylor]: Taking taylor expansion of 0 in x
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.197 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
3.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2))
3.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x
3.198 * [taylor]: Taking taylor expansion of 1/2 in x
3.198 * [backup-simplify]: Simplify 1/2 into 1/2
3.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.198 * [taylor]: Taking taylor expansion of x in x
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 1 into 1
3.199 * [backup-simplify]: Simplify (* 1 1) into 1
3.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
3.205 * [backup-simplify]: Simplify (+ 0 0) into 0
3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0
3.206 * [taylor]: Taking taylor expansion of 0 in x
3.206 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y
3.209 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x))
3.209 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0
3.209 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x
3.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))))
3.210 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x
3.210 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
3.210 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.210 * [taylor]: Taking taylor expansion of -1 in x
3.210 * [backup-simplify]: Simplify -1 into -1
3.210 * [taylor]: Taking taylor expansion of y in x
3.210 * [backup-simplify]: Simplify y into y
3.210 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.210 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.210 * [taylor]: Taking taylor expansion of -1 in x
3.210 * [backup-simplify]: Simplify -1 into -1
3.210 * [taylor]: Taking taylor expansion of y in x
3.210 * [backup-simplify]: Simplify y into y
3.210 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.210 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.210 * [taylor]: Taking taylor expansion of -1 in x
3.210 * [backup-simplify]: Simplify -1 into -1
3.210 * [taylor]: Taking taylor expansion of x in x
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ -1 1) into -1
3.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.211 * [taylor]: Taking taylor expansion of -1 in x
3.211 * [backup-simplify]: Simplify -1 into -1
3.211 * [taylor]: Taking taylor expansion of x in x
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ -1 1) into -1
3.216 * [backup-simplify]: Simplify (* -1 -1) into 1
3.217 * [backup-simplify]: Simplify (+ 0 1) into 1
3.218 * [backup-simplify]: Simplify (sqrt 1) into 1
3.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.221 * [backup-simplify]: Simplify (+ 0 0) into 0
3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y
3.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))))
3.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y
3.222 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
3.222 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.222 * [taylor]: Taking taylor expansion of -1 in y
3.222 * [backup-simplify]: Simplify -1 into -1
3.222 * [taylor]: Taking taylor expansion of y in y
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.223 * [backup-simplify]: Simplify (/ -1 1) into -1
3.223 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.223 * [taylor]: Taking taylor expansion of -1 in y
3.223 * [backup-simplify]: Simplify -1 into -1
3.223 * [taylor]: Taking taylor expansion of y in y
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 1 into 1
3.223 * [backup-simplify]: Simplify (/ -1 1) into -1
3.223 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
3.223 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.223 * [taylor]: Taking taylor expansion of -1 in y
3.223 * [backup-simplify]: Simplify -1 into -1
3.223 * [taylor]: Taking taylor expansion of x in y
3.223 * [backup-simplify]: Simplify x into x
3.223 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.223 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.223 * [taylor]: Taking taylor expansion of -1 in y
3.223 * [backup-simplify]: Simplify -1 into -1
3.224 * [taylor]: Taking taylor expansion of x in y
3.224 * [backup-simplify]: Simplify x into x
3.224 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.224 * [backup-simplify]: Simplify (* -1 -1) into 1
3.224 * [backup-simplify]: Simplify (+ 1 0) into 1
3.224 * [backup-simplify]: Simplify (sqrt 1) into 1
3.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.226 * [backup-simplify]: Simplify (+ 0 0) into 0
3.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.227 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y
3.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))))
3.227 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y
3.227 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
3.227 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.227 * [taylor]: Taking taylor expansion of -1 in y
3.227 * [backup-simplify]: Simplify -1 into -1
3.227 * [taylor]: Taking taylor expansion of y in y
3.227 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify 1 into 1
3.228 * [backup-simplify]: Simplify (/ -1 1) into -1
3.228 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.228 * [taylor]: Taking taylor expansion of -1 in y
3.228 * [backup-simplify]: Simplify -1 into -1
3.228 * [taylor]: Taking taylor expansion of y in y
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.228 * [backup-simplify]: Simplify (/ -1 1) into -1
3.228 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
3.228 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.228 * [taylor]: Taking taylor expansion of -1 in y
3.228 * [backup-simplify]: Simplify -1 into -1
3.228 * [taylor]: Taking taylor expansion of x in y
3.228 * [backup-simplify]: Simplify x into x
3.228 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.228 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.228 * [taylor]: Taking taylor expansion of -1 in y
3.228 * [backup-simplify]: Simplify -1 into -1
3.228 * [taylor]: Taking taylor expansion of x in y
3.228 * [backup-simplify]: Simplify x into x
3.228 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.229 * [backup-simplify]: Simplify (* -1 -1) into 1
3.229 * [backup-simplify]: Simplify (+ 1 0) into 1
3.229 * [backup-simplify]: Simplify (sqrt 1) into 1
3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.231 * [backup-simplify]: Simplify (+ 0 0) into 0
3.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.232 * [taylor]: Taking taylor expansion of 1 in x
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [taylor]: Taking taylor expansion of 0 in x
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.234 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
3.234 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2))
3.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x
3.235 * [taylor]: Taking taylor expansion of 1/2 in x
3.235 * [backup-simplify]: Simplify 1/2 into 1/2
3.235 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.235 * [taylor]: Taking taylor expansion of x in x
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.239 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.239 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.239 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0
3.240 * [taylor]: Taking taylor expansion of 0 in x
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y)
3.241 * * * [progress]: simplifying candidates
3.242 * [simplify]: Simplifying:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (+ (* y y) (* x x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (* (* (hypot y x) (hypot y x)) (hypot y x))
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  x
  y
  (* -1 y)
3.242 * * [simplify]: iteration 0: 17 enodes
3.244 * * [simplify]: iteration 1: 22 enodes
3.247 * * [simplify]: iteration 2: 25 enodes
3.250 * * [simplify]: iteration 3: 30 enodes
3.256 * * [simplify]: iteration 4: 38 enodes
3.265 * * [simplify]: iteration 5: 72 enodes
3.280 * * [simplify]: iteration 6: 141 enodes
3.324 * * [simplify]: iteration 7: 324 enodes
3.488 * * [simplify]: iteration 8: 1049 enodes
4.524 * * [simplify]: iteration complete: 5001 enodes
4.524 * * [simplify]: Extracting #0: cost 12 inf + 0
4.524 * * [simplify]: Extracting #1: cost 198 inf + 2
4.528 * * [simplify]: Extracting #2: cost 1414 inf + 73
4.535 * * [simplify]: Extracting #3: cost 1506 inf + 138
4.542 * * [simplify]: Extracting #4: cost 882 inf + 7164
4.547 * * [simplify]: Extracting #5: cost 45 inf + 20851
4.557 * * [simplify]: Extracting #6: cost 0 inf + 21350
4.562 * * [simplify]: Extracting #7: cost 0 inf + 21348
4.567 * [simplify]: Simplified to:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (fma y y (* x x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (pow (hypot y x) 3)
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  x
  y
  (- y)
4.567 * * * [progress]: adding candidates to table
4.651 * [progress]: [Phase 3 of 3] Extracting.
4.658 * [simplify]: Simplifying:
  (hypot (* 1 (hypot y x)) z)
4.658 * * [simplify]: iteration 0: 7 enodes
4.659 * * [simplify]: iteration 1: 10 enodes
4.660 * * [simplify]: iteration 2: 11 enodes
4.660 * * [simplify]: iteration complete: 11 enodes
4.660 * * [simplify]: Extracting #0: cost 1 inf + 0
4.660 * * [simplify]: Extracting #1: cost 3 inf + 0
4.660 * * [simplify]: Extracting #2: cost 5 inf + 1
4.660 * * [simplify]: Extracting #3: cost 0 inf + 12
4.660 * [simplify]: Simplified to:
  (hypot (hypot y x) z)
5.984 * [regime-testing]: Baseline error score: 0.005250656332041505
5.986 * [regime-testing]: Oracle error score: 0.005250656332041505
5.986 * [regime-testing]: End program error score: 0.005250656332041505
6.089 * [regime-testing]: Target error score: 25.19000655366313