19.208 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.040 * * * [progress]: [2/2] Setting up program.
0.046 * [progress]: [Phase 2 of 3] Improving.
0.046 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.046 * * [simplify]: iteration 0: 9 enodes
0.049 * * [simplify]: iteration 1: 22 enodes
0.056 * * [simplify]: iteration 2: 48 enodes
0.070 * * [simplify]: iteration 3: 103 enodes
0.094 * * [simplify]: iteration 4: 208 enodes
0.139 * * [simplify]: iteration 5: 403 enodes
0.245 * * [simplify]: iteration 6: 840 enodes
1.050 * * [simplify]: iteration 7: 3699 enodes
2.705 * * [simplify]: iteration complete: 5000 enodes
2.706 * * [simplify]: Extracting #0: cost 1 inf + 0
2.706 * * [simplify]: Extracting #1: cost 239 inf + 0
2.708 * * [simplify]: Extracting #2: cost 844 inf + 1
2.712 * * [simplify]: Extracting #3: cost 1424 inf + 617
2.734 * * [simplify]: Extracting #4: cost 754 inf + 50096
2.801 * * [simplify]: Extracting #5: cost 101 inf + 180290
2.901 * * [simplify]: Extracting #6: cost 1 inf + 211970
2.997 * * [simplify]: Extracting #7: cost 0 inf + 212372
3.061 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
3.068 * * [progress]: iteration 1 / 4
3.068 * * * [progress]: picking best candidate
3.074 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
3.074 * * * [progress]: localizing error
3.094 * * * [progress]: generating rewritten candidates
3.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
3.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
3.163 * * * [progress]: generating series expansions
3.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.163 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
3.163 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
3.163 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.163 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.163 * [taylor]: Taking taylor expansion of y in x
3.163 * [backup-simplify]: Simplify y into y
3.163 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.163 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.163 * [taylor]: Taking taylor expansion of y in x
3.163 * [backup-simplify]: Simplify y into y
3.163 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.163 * [taylor]: Taking taylor expansion of x in x
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.163 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.164 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.164 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.164 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.164 * [taylor]: Taking taylor expansion of y in y
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.164 * [taylor]: Taking taylor expansion of y in y
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.164 * [taylor]: Taking taylor expansion of x in y
3.164 * [backup-simplify]: Simplify x into x
3.165 * [backup-simplify]: Simplify (* 1 1) into 1
3.165 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.165 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.165 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.165 * [taylor]: Taking taylor expansion of y in y
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.166 * [taylor]: Taking taylor expansion of y in y
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.166 * [taylor]: Taking taylor expansion of x in y
3.166 * [backup-simplify]: Simplify x into x
3.166 * [backup-simplify]: Simplify (* 1 1) into 1
3.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.166 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.167 * [taylor]: Taking taylor expansion of x in x
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.167 * [backup-simplify]: Simplify (/ 1 1) into 1
3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.171 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.172 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) 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
3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.176 * [backup-simplify]: Simplify (* 1 1) into 1
3.176 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.177 * [backup-simplify]: Simplify (+ 1 0) into 1
3.178 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
3.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
3.178 * [taylor]: Taking taylor expansion of (pow x 4) in x
3.178 * [taylor]: Taking taylor expansion of x in x
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 1 into 1
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.179 * [backup-simplify]: Simplify (/ 1 1) into 1
3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- 0) into 0
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.199 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.199 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.199 * [taylor]: Taking taylor expansion of y in x
3.199 * [backup-simplify]: Simplify y into y
3.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.199 * [taylor]: Taking taylor expansion of y in x
3.199 * [backup-simplify]: Simplify y into y
3.199 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.199 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.199 * [taylor]: Taking taylor expansion of x in x
3.199 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.200 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.201 * [backup-simplify]: Simplify (+ 0 1) into 1
3.201 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.201 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.201 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.201 * [taylor]: Taking taylor expansion of y in y
3.201 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.202 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.202 * [taylor]: Taking taylor expansion of y in y
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.203 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.203 * [taylor]: Taking taylor expansion of x in y
3.203 * [backup-simplify]: Simplify x into x
3.203 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.203 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (+ 1 0) into 1
3.204 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (/ 1 1) into 1
3.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.204 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.204 * [taylor]: Taking taylor expansion of y in y
3.204 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.205 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.205 * [taylor]: Taking taylor expansion of y in y
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify (* 1 1) into 1
3.205 * [backup-simplify]: Simplify (/ 1 1) into 1
3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.206 * [taylor]: Taking taylor expansion of x in y
3.206 * [backup-simplify]: Simplify x into x
3.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.206 * [backup-simplify]: Simplify (* 1 1) into 1
3.207 * [backup-simplify]: Simplify (+ 1 0) into 1
3.207 * [backup-simplify]: Simplify (* 1 1) into 1
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [taylor]: Taking taylor expansion of 1 in x
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (+ 0 0) into 0
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [taylor]: Taking taylor expansion of 0 in x
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.216 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.217 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.217 * [taylor]: Taking taylor expansion of x in x
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [backup-simplify]: Simplify (* 1 1) into 1
3.217 * [backup-simplify]: Simplify (/ 1 1) into 1
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (- 0) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.226 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.226 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.226 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.226 * [taylor]: Taking taylor expansion of y in x
3.226 * [backup-simplify]: Simplify y into y
3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.226 * [taylor]: Taking taylor expansion of y in x
3.226 * [backup-simplify]: Simplify y into y
3.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.226 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.226 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.226 * [taylor]: Taking taylor expansion of x in x
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (* 1 1) into 1
3.227 * [backup-simplify]: Simplify (/ 1 1) into 1
3.227 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.228 * [backup-simplify]: Simplify (+ 0 1) into 1
3.228 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.228 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.228 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.228 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.228 * [taylor]: Taking taylor expansion of (pow y 2) in y
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.228 * [taylor]: Taking taylor expansion of (pow y 2) in y
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
3.229 * [backup-simplify]: Simplify (* 1 1) into 1
3.229 * [backup-simplify]: Simplify (/ 1 1) into 1
3.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.229 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.229 * [taylor]: Taking taylor expansion of x in y
3.229 * [backup-simplify]: Simplify x into x
3.229 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.230 * [backup-simplify]: Simplify (* 1 1) into 1
3.230 * [backup-simplify]: Simplify (+ 1 0) into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (/ 1 1) into 1
3.231 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.231 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.231 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.231 * [taylor]: Taking taylor expansion of y in y
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.231 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.231 * [taylor]: Taking taylor expansion of y in y
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (* 1 1) into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.232 * [taylor]: Taking taylor expansion of x in y
3.232 * [backup-simplify]: Simplify x into x
3.232 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.233 * [backup-simplify]: Simplify (* 1 1) into 1
3.233 * [backup-simplify]: Simplify (+ 1 0) into 1
3.234 * [backup-simplify]: Simplify (* 1 1) into 1
3.234 * [backup-simplify]: Simplify (/ 1 1) into 1
3.234 * [taylor]: Taking taylor expansion of 1 in x
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.238 * [taylor]: Taking taylor expansion of 0 in x
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.242 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.242 * [taylor]: Taking taylor expansion of x in x
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.242 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (- 0) into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.248 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
3.248 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
3.248 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
3.248 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.248 * [taylor]: Taking taylor expansion of x in y
3.248 * [backup-simplify]: Simplify x into x
3.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.248 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.248 * [taylor]: Taking taylor expansion of y in y
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.248 * [taylor]: Taking taylor expansion of x in y
3.248 * [backup-simplify]: Simplify x into x
3.248 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.248 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.248 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.248 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.248 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.248 * [taylor]: Taking taylor expansion of x in x
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.248 * [taylor]: Taking taylor expansion of y in x
3.248 * [backup-simplify]: Simplify y into y
3.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.248 * [taylor]: Taking taylor expansion of x in x
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* 1 1) into 1
3.249 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.249 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.249 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.249 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.249 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.249 * [taylor]: Taking taylor expansion of x in x
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.249 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.249 * [taylor]: Taking taylor expansion of y in x
3.249 * [backup-simplify]: Simplify y into y
3.249 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.249 * [taylor]: Taking taylor expansion of x in x
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* 1 1) into 1
3.249 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.249 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.250 * [taylor]: Taking taylor expansion of y in y
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (* 1 1) into 1
3.250 * [backup-simplify]: Simplify (/ 1 1) into 1
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.252 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.253 * [backup-simplify]: Simplify (+ 0 0) into 0
3.253 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.253 * [taylor]: Taking taylor expansion of 0 in y
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.255 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.255 * [backup-simplify]: Simplify (* 1 1) into 1
3.256 * [backup-simplify]: Simplify (+ 0 1) into 1
3.256 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
3.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.256 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.256 * [taylor]: Taking taylor expansion of y in y
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 1 into 1
3.256 * [backup-simplify]: Simplify (* 1 1) into 1
3.257 * [backup-simplify]: Simplify (* 1 1) into 1
3.257 * [backup-simplify]: Simplify (/ 1 1) into 1
3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (- 0) into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.265 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.265 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.265 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.265 * [taylor]: Taking taylor expansion of x in y
3.265 * [backup-simplify]: Simplify x into x
3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.266 * [taylor]: Taking taylor expansion of y in y
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (* 1 1) into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.266 * [taylor]: Taking taylor expansion of x in y
3.266 * [backup-simplify]: Simplify x into x
3.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.267 * [backup-simplify]: Simplify (+ 1 0) into 1
3.267 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.267 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.267 * [taylor]: Taking taylor expansion of x in x
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.267 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.267 * [taylor]: Taking taylor expansion of y in x
3.267 * [backup-simplify]: Simplify y into y
3.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.267 * [taylor]: Taking taylor expansion of x in x
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (/ 1 1) into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (+ 0 1) into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.269 * [backup-simplify]: Simplify (/ 1 1) into 1
3.269 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.269 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.269 * [taylor]: Taking taylor expansion of y in x
3.269 * [backup-simplify]: Simplify y into y
3.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (/ 1 1) into 1
3.270 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (+ 0 1) into 1
3.270 * [backup-simplify]: Simplify (* 1 1) into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.271 * [taylor]: Taking taylor expansion of 1 in y
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.272 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.273 * [taylor]: Taking taylor expansion of 0 in y
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.276 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.276 * [taylor]: Taking taylor expansion of y in y
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.277 * [backup-simplify]: Simplify (/ 1 1) into 1
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (- 0) into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.282 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.282 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.282 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.282 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.282 * [taylor]: Taking taylor expansion of x in y
3.282 * [backup-simplify]: Simplify x into x
3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.282 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.282 * [taylor]: Taking taylor expansion of y in y
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* 1 1) into 1
3.282 * [backup-simplify]: Simplify (/ 1 1) into 1
3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.282 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.282 * [taylor]: Taking taylor expansion of x in y
3.282 * [backup-simplify]: Simplify x into x
3.282 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.282 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.283 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.283 * [backup-simplify]: Simplify (+ 1 0) into 1
3.283 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.283 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.283 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.283 * [taylor]: Taking taylor expansion of x in x
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.283 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.283 * [taylor]: Taking taylor expansion of y in x
3.283 * [backup-simplify]: Simplify y into y
3.283 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.283 * [taylor]: Taking taylor expansion of x in x
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify (* 1 1) into 1
3.284 * [backup-simplify]: Simplify (/ 1 1) into 1
3.284 * [backup-simplify]: Simplify (* 1 1) into 1
3.284 * [backup-simplify]: Simplify (+ 0 1) into 1
3.285 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (/ 1 1) into 1
3.285 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.285 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.285 * [taylor]: Taking taylor expansion of x in x
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 1 into 1
3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.285 * [taylor]: Taking taylor expansion of y in x
3.285 * [backup-simplify]: Simplify y into y
3.285 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.285 * [taylor]: Taking taylor expansion of x in x
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 1 into 1
3.286 * [backup-simplify]: Simplify (* 1 1) into 1
3.286 * [backup-simplify]: Simplify (/ 1 1) into 1
3.286 * [backup-simplify]: Simplify (* 1 1) into 1
3.286 * [backup-simplify]: Simplify (+ 0 1) into 1
3.287 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.287 * [taylor]: Taking taylor expansion of 1 in y
3.287 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.289 * [taylor]: Taking taylor expansion of 0 in y
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.291 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.292 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.292 * [taylor]: Taking taylor expansion of y in y
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (* 1 1) into 1
3.293 * [backup-simplify]: Simplify (/ 1 1) into 1
3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (- 0) into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
3.299 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
3.299 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
3.299 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.299 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.299 * [taylor]: Taking taylor expansion of y in y
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.299 * [taylor]: Taking taylor expansion of x in y
3.299 * [backup-simplify]: Simplify x into x
3.299 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.299 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.299 * [taylor]: Taking taylor expansion of y in x
3.299 * [backup-simplify]: Simplify y into y
3.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.299 * [taylor]: Taking taylor expansion of x in x
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.299 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.299 * [taylor]: Taking taylor expansion of y in x
3.299 * [backup-simplify]: Simplify y into y
3.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.300 * [taylor]: Taking taylor expansion of x in x
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.300 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.300 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.300 * [taylor]: Taking taylor expansion of y in y
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.300 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [taylor]: Taking taylor expansion of 0 in y
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.301 * [backup-simplify]: Simplify (* 1 1) into 1
3.301 * [backup-simplify]: Simplify (+ 0 1) into 1
3.301 * [taylor]: Taking taylor expansion of 1 in y
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify (* 1 1) into 1
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.303 * [taylor]: Taking taylor expansion of 0 in y
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [taylor]: Taking taylor expansion of 0 in y
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
3.305 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.305 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.305 * [taylor]: Taking taylor expansion of y in y
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (* 1 1) into 1
3.306 * [backup-simplify]: Simplify (/ 1 1) into 1
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.306 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.306 * [taylor]: Taking taylor expansion of x in y
3.306 * [backup-simplify]: Simplify x into x
3.306 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.306 * [taylor]: Taking taylor expansion of y in x
3.306 * [backup-simplify]: Simplify y into y
3.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.306 * [taylor]: Taking taylor expansion of x in x
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.307 * [taylor]: Taking taylor expansion of y in x
3.307 * [backup-simplify]: Simplify y into y
3.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.307 * [taylor]: Taking taylor expansion of x in x
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [backup-simplify]: Simplify (+ 0 1) into 1
3.308 * [taylor]: Taking taylor expansion of 1 in y
3.308 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.309 * [taylor]: Taking taylor expansion of 0 in y
3.309 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.310 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.310 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.310 * [taylor]: Taking taylor expansion of y in y
3.310 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (* 1 1) into 1
3.311 * [backup-simplify]: Simplify (/ 1 1) into 1
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [taylor]: Taking taylor expansion of 0 in y
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [taylor]: Taking taylor expansion of 0 in y
3.317 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
3.320 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.320 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.321 * [taylor]: Taking taylor expansion of y in y
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 1 into 1
3.321 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (/ 1 1) into 1
3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.322 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.322 * [taylor]: Taking taylor expansion of x in y
3.322 * [backup-simplify]: Simplify x into x
3.322 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.322 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.322 * [taylor]: Taking taylor expansion of y in x
3.322 * [backup-simplify]: Simplify y into y
3.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.322 * [taylor]: Taking taylor expansion of x in x
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (* 1 1) into 1
3.323 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.323 * [taylor]: Taking taylor expansion of y in x
3.323 * [backup-simplify]: Simplify y into y
3.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.324 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.324 * [taylor]: Taking taylor expansion of x in x
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [backup-simplify]: Simplify (+ 0 1) into 1
3.325 * [taylor]: Taking taylor expansion of 1 in y
3.325 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify (+ 0 0) into 0
3.327 * [taylor]: Taking taylor expansion of 0 in y
3.327 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.329 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.329 * [taylor]: Taking taylor expansion of y in y
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.330 * [backup-simplify]: Simplify (/ 1 1) into 1
3.330 * [backup-simplify]: Simplify 1 into 1
3.330 * [backup-simplify]: Simplify 1 into 1
3.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ 0 0) into 0
3.333 * [taylor]: Taking taylor expansion of 0 in y
3.333 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [taylor]: Taking taylor expansion of 0 in y
3.338 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
3.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
3.341 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
3.341 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
3.341 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.341 * [taylor]: Taking taylor expansion of y in y
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.341 * [taylor]: Taking taylor expansion of x in y
3.342 * [backup-simplify]: Simplify x into x
3.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.342 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.342 * [taylor]: Taking taylor expansion of y in x
3.342 * [backup-simplify]: Simplify y into y
3.342 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.342 * [taylor]: Taking taylor expansion of x in x
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.342 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.342 * [taylor]: Taking taylor expansion of y in x
3.342 * [backup-simplify]: Simplify y into y
3.342 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.342 * [taylor]: Taking taylor expansion of x in x
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.342 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.342 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.342 * [taylor]: Taking taylor expansion of y in y
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.343 * [backup-simplify]: Simplify (+ 0 0) into 0
3.343 * [taylor]: Taking taylor expansion of 0 in y
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.344 * [backup-simplify]: Simplify (* 1 1) into 1
3.344 * [backup-simplify]: Simplify (+ 0 1) into 1
3.344 * [taylor]: Taking taylor expansion of 1 in y
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify 1 into 1
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify (* 1 1) into 1
3.345 * [backup-simplify]: Simplify 1 into 1
3.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.347 * [backup-simplify]: Simplify (+ 0 0) into 0
3.347 * [taylor]: Taking taylor expansion of 0 in y
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.350 * [backup-simplify]: Simplify (+ 0 0) into 0
3.350 * [taylor]: Taking taylor expansion of 0 in y
3.350 * [backup-simplify]: Simplify 0 into 0
3.350 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
3.351 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.351 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.351 * [taylor]: Taking taylor expansion of y in y
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.352 * [backup-simplify]: Simplify (* 1 1) into 1
3.352 * [backup-simplify]: Simplify (/ 1 1) into 1
3.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.352 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.352 * [taylor]: Taking taylor expansion of x in y
3.352 * [backup-simplify]: Simplify x into x
3.352 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.353 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.353 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.353 * [taylor]: Taking taylor expansion of y in x
3.353 * [backup-simplify]: Simplify y into y
3.353 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.353 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.353 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.353 * [taylor]: Taking taylor expansion of x in x
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.353 * [backup-simplify]: Simplify (* 1 1) into 1
3.354 * [backup-simplify]: Simplify (/ 1 1) into 1
3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.354 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.354 * [taylor]: Taking taylor expansion of y in x
3.354 * [backup-simplify]: Simplify y into y
3.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.354 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.354 * [taylor]: Taking taylor expansion of x in x
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (* 1 1) into 1
3.355 * [backup-simplify]: Simplify (/ 1 1) into 1
3.356 * [backup-simplify]: Simplify (+ 0 1) into 1
3.356 * [taylor]: Taking taylor expansion of 1 in y
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [taylor]: Taking taylor expansion of 0 in y
3.357 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.359 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.360 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.360 * [taylor]: Taking taylor expansion of y in y
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 1 into 1
3.360 * [backup-simplify]: Simplify (* 1 1) into 1
3.360 * [backup-simplify]: Simplify (/ 1 1) into 1
3.360 * [backup-simplify]: Simplify 1 into 1
3.361 * [backup-simplify]: Simplify 1 into 1
3.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [taylor]: Taking taylor expansion of 0 in y
3.363 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [taylor]: Taking taylor expansion of 0 in y
3.369 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
3.371 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.371 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.372 * [taylor]: Taking taylor expansion of y in y
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify 1 into 1
3.372 * [backup-simplify]: Simplify (* 1 1) into 1
3.372 * [backup-simplify]: Simplify (/ 1 1) into 1
3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.373 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.373 * [taylor]: Taking taylor expansion of x in y
3.373 * [backup-simplify]: Simplify x into x
3.373 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.373 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.373 * [taylor]: Taking taylor expansion of y in x
3.373 * [backup-simplify]: Simplify y into y
3.373 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.373 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.373 * [taylor]: Taking taylor expansion of x in x
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 1 into 1
3.374 * [backup-simplify]: Simplify (* 1 1) into 1
3.374 * [backup-simplify]: Simplify (/ 1 1) into 1
3.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.374 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.374 * [taylor]: Taking taylor expansion of y in x
3.374 * [backup-simplify]: Simplify y into y
3.374 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.374 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.374 * [taylor]: Taking taylor expansion of x in x
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [backup-simplify]: Simplify (* 1 1) into 1
3.375 * [backup-simplify]: Simplify (/ 1 1) into 1
3.376 * [backup-simplify]: Simplify (+ 0 1) into 1
3.376 * [taylor]: Taking taylor expansion of 1 in y
3.376 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (+ 0 0) into 0
3.378 * [taylor]: Taking taylor expansion of 0 in y
3.378 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.380 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.380 * [taylor]: Taking taylor expansion of y in y
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (* 1 1) into 1
3.381 * [backup-simplify]: Simplify (/ 1 1) into 1
3.381 * [backup-simplify]: Simplify 1 into 1
3.381 * [backup-simplify]: Simplify 1 into 1
3.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ 0 0) into 0
3.383 * [taylor]: Taking taylor expansion of 0 in y
3.384 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [taylor]: Taking taylor expansion of 0 in y
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
3.391 * * * [progress]: simplifying candidates
3.393 * [simplify]: Simplifying:
  (- (+ (log y) (log y)) (log (+ (* x x) (* y y))))
  (- (log (* y y)) (log (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y 1)
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (/ (* y y) 1)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* 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))
  (* (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))
  0
  0
  0
  0
  0
  0
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
3.395 * * [simplify]: iteration 0: 96 enodes
3.438 * * [simplify]: iteration 1: 336 enodes
3.861 * * [simplify]: iteration 2: 2998 enodes
5.301 * * [simplify]: iteration complete: 5002 enodes
5.301 * * [simplify]: Extracting #0: cost 54 inf + 0
5.303 * * [simplify]: Extracting #1: cost 456 inf + 3
5.316 * * [simplify]: Extracting #2: cost 1923 inf + 8156
5.337 * * [simplify]: Extracting #3: cost 1257 inf + 109841
5.401 * * [simplify]: Extracting #4: cost 144 inf + 304564
5.470 * * [simplify]: Extracting #5: cost 1 inf + 336762
5.550 * * [simplify]: Extracting #6: cost 0 inf + 337044
5.622 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (* (- y) y)
  (- (- (* x x)) (* y y))
  (/ (/ y (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  y
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (* (/ y (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (* y y)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))
  (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (* x (- x))
  (- (- (* x x)) (* y y))
  (/ (/ x (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  x
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (* (/ x (cbrt (+ (* x x) (* y y)))) (/ x (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (* x x)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))
  (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (exp (+ (* y y) (* x x)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* y y) (* x x)))
  (* (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)))
  (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x))))
  (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (- x y))
  (exp (+ (* y y) (* x x)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* y y) (* x x)))
  (* (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)))
  (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x))))
  (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (- x y))
  0
  0
  0
  0
  0
  0
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
5.627 * * * [progress]: adding candidates to table
6.071 * * [progress]: iteration 2 / 4
6.071 * * * [progress]: picking best candidate
6.087 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
6.087 * * * [progress]: localizing error
6.132 * * * [progress]: generating rewritten candidates
6.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
6.138 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
6.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.271 * * * [progress]: generating series expansions
6.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
6.272 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
6.272 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
6.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
6.272 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.272 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.272 * [taylor]: Taking taylor expansion of y in y
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.272 * [taylor]: Taking taylor expansion of x in y
6.272 * [backup-simplify]: Simplify x into x
6.272 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.272 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.272 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.272 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.273 * [backup-simplify]: Simplify (+ 0 0) into 0
6.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
6.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.273 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.273 * [taylor]: Taking taylor expansion of y in x
6.273 * [backup-simplify]: Simplify y into y
6.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.273 * [taylor]: Taking taylor expansion of x in x
6.273 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify 1 into 1
6.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.273 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.273 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
6.273 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.273 * [backup-simplify]: Simplify (+ 0 0) into 0
6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
6.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
6.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.274 * [taylor]: Taking taylor expansion of y in x
6.274 * [backup-simplify]: Simplify y into y
6.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.274 * [taylor]: Taking taylor expansion of x in x
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.274 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.274 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
6.274 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.274 * [backup-simplify]: Simplify (+ 0 0) into 0
6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
6.274 * [taylor]: Taking taylor expansion of y in y
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [taylor]: Taking taylor expansion of 0 in y
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.275 * [backup-simplify]: Simplify (* 1 1) into 1
6.275 * [backup-simplify]: Simplify (+ 0 1) into 1
6.276 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
6.276 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
6.276 * [taylor]: Taking taylor expansion of 1/2 in y
6.276 * [backup-simplify]: Simplify 1/2 into 1/2
6.276 * [taylor]: Taking taylor expansion of y in y
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 1 into 1
6.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
6.278 * [taylor]: Taking taylor expansion of 0 in y
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
6.279 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
6.279 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
6.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.279 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.279 * [taylor]: Taking taylor expansion of y in y
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify 1 into 1
6.279 * [backup-simplify]: Simplify (* 1 1) into 1
6.280 * [backup-simplify]: Simplify (/ 1 1) into 1
6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.280 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.280 * [taylor]: Taking taylor expansion of x in y
6.280 * [backup-simplify]: Simplify x into x
6.280 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.280 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.280 * [backup-simplify]: Simplify (+ 1 0) into 1
6.280 * [backup-simplify]: Simplify (sqrt 1) into 1
6.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.281 * [backup-simplify]: Simplify (+ 0 0) into 0
6.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.282 * [taylor]: Taking taylor expansion of y in x
6.282 * [backup-simplify]: Simplify y into y
6.282 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.282 * [taylor]: Taking taylor expansion of x in x
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.282 * [backup-simplify]: Simplify (* 1 1) into 1
6.283 * [backup-simplify]: Simplify (/ 1 1) into 1
6.283 * [backup-simplify]: Simplify (+ 0 1) into 1
6.283 * [backup-simplify]: Simplify (sqrt 1) into 1
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.284 * [backup-simplify]: Simplify (+ 0 0) into 0
6.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.285 * [taylor]: Taking taylor expansion of y in x
6.285 * [backup-simplify]: Simplify y into y
6.285 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.285 * [taylor]: Taking taylor expansion of x in x
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify 1 into 1
6.285 * [backup-simplify]: Simplify (* 1 1) into 1
6.288 * [backup-simplify]: Simplify (/ 1 1) into 1
6.289 * [backup-simplify]: Simplify (+ 0 1) into 1
6.289 * [backup-simplify]: Simplify (sqrt 1) into 1
6.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.290 * [backup-simplify]: Simplify (+ 0 0) into 0
6.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.290 * [taylor]: Taking taylor expansion of 1 in y
6.290 * [backup-simplify]: Simplify 1 into 1
6.290 * [taylor]: Taking taylor expansion of 0 in y
6.290 * [backup-simplify]: Simplify 0 into 0
6.290 * [backup-simplify]: Simplify 1 into 1
6.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.292 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
6.293 * [taylor]: Taking taylor expansion of 1/2 in y
6.293 * [backup-simplify]: Simplify 1/2 into 1/2
6.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.293 * [taylor]: Taking taylor expansion of y in y
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.293 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.298 * [backup-simplify]: Simplify (+ 0 0) into 0
6.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.299 * [taylor]: Taking taylor expansion of 0 in y
6.299 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.301 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
6.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
6.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.302 * [taylor]: Taking taylor expansion of y in y
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 1 into 1
6.302 * [backup-simplify]: Simplify (* 1 1) into 1
6.302 * [backup-simplify]: Simplify (/ 1 1) into 1
6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.302 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.302 * [taylor]: Taking taylor expansion of x in y
6.302 * [backup-simplify]: Simplify x into x
6.303 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.303 * [backup-simplify]: Simplify (+ 1 0) into 1
6.304 * [backup-simplify]: Simplify (sqrt 1) into 1
6.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.305 * [backup-simplify]: Simplify (+ 0 0) into 0
6.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.306 * [taylor]: Taking taylor expansion of y in x
6.306 * [backup-simplify]: Simplify y into y
6.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.307 * [taylor]: Taking taylor expansion of x in x
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (* 1 1) into 1
6.307 * [backup-simplify]: Simplify (/ 1 1) into 1
6.308 * [backup-simplify]: Simplify (+ 0 1) into 1
6.308 * [backup-simplify]: Simplify (sqrt 1) into 1
6.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.309 * [backup-simplify]: Simplify (+ 0 0) into 0
6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.310 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.310 * [taylor]: Taking taylor expansion of y in x
6.310 * [backup-simplify]: Simplify y into y
6.310 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.310 * [taylor]: Taking taylor expansion of x in x
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [backup-simplify]: Simplify (* 1 1) into 1
6.310 * [backup-simplify]: Simplify (/ 1 1) into 1
6.311 * [backup-simplify]: Simplify (+ 0 1) into 1
6.311 * [backup-simplify]: Simplify (sqrt 1) into 1
6.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.312 * [backup-simplify]: Simplify (+ 0 0) into 0
6.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.312 * [taylor]: Taking taylor expansion of 1 in y
6.313 * [backup-simplify]: Simplify 1 into 1
6.313 * [taylor]: Taking taylor expansion of 0 in y
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
6.315 * [taylor]: Taking taylor expansion of 1/2 in y
6.315 * [backup-simplify]: Simplify 1/2 into 1/2
6.315 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.315 * [taylor]: Taking taylor expansion of y in y
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 1 into 1
6.315 * [backup-simplify]: Simplify (* 1 1) into 1
6.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.318 * [backup-simplify]: Simplify (+ 0 0) into 0
6.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.318 * [taylor]: Taking taylor expansion of 0 in y
6.318 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.320 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.320 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
6.320 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
6.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
6.320 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.320 * [taylor]: Taking taylor expansion of y in y
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 1 into 1
6.320 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.320 * [taylor]: Taking taylor expansion of x in y
6.320 * [backup-simplify]: Simplify x into x
6.320 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.320 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.320 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.320 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.320 * [backup-simplify]: Simplify (+ 0 0) into 0
6.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
6.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.321 * [taylor]: Taking taylor expansion of y in x
6.321 * [backup-simplify]: Simplify y into y
6.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.321 * [taylor]: Taking taylor expansion of x in x
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.321 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.321 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
6.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.321 * [backup-simplify]: Simplify (+ 0 0) into 0
6.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
6.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
6.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.321 * [taylor]: Taking taylor expansion of y in x
6.321 * [backup-simplify]: Simplify y into y
6.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.321 * [taylor]: Taking taylor expansion of x in x
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.322 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.322 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
6.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.322 * [backup-simplify]: Simplify (+ 0 0) into 0
6.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
6.322 * [taylor]: Taking taylor expansion of y in y
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify 1 into 1
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [taylor]: Taking taylor expansion of 0 in y
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify 1 into 1
6.323 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.323 * [backup-simplify]: Simplify (* 1 1) into 1
6.323 * [backup-simplify]: Simplify (+ 0 1) into 1
6.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
6.324 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
6.324 * [taylor]: Taking taylor expansion of 1/2 in y
6.324 * [backup-simplify]: Simplify 1/2 into 1/2
6.324 * [taylor]: Taking taylor expansion of y in y
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.326 * [backup-simplify]: Simplify (+ 0 0) into 0
6.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
6.326 * [taylor]: Taking taylor expansion of 0 in y
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
6.327 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
6.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
6.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.327 * [taylor]: Taking taylor expansion of y in y
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [backup-simplify]: Simplify (* 1 1) into 1
6.327 * [backup-simplify]: Simplify (/ 1 1) into 1
6.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.327 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.328 * [taylor]: Taking taylor expansion of x in y
6.328 * [backup-simplify]: Simplify x into x
6.328 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.328 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.328 * [backup-simplify]: Simplify (+ 1 0) into 1
6.328 * [backup-simplify]: Simplify (sqrt 1) into 1
6.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.329 * [backup-simplify]: Simplify (+ 0 0) into 0
6.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.330 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.330 * [taylor]: Taking taylor expansion of y in x
6.330 * [backup-simplify]: Simplify y into y
6.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.330 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.330 * [taylor]: Taking taylor expansion of x in x
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 1 into 1
6.330 * [backup-simplify]: Simplify (* 1 1) into 1
6.330 * [backup-simplify]: Simplify (/ 1 1) into 1
6.331 * [backup-simplify]: Simplify (+ 0 1) into 1
6.331 * [backup-simplify]: Simplify (sqrt 1) into 1
6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (+ 0 0) into 0
6.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.333 * [taylor]: Taking taylor expansion of y in x
6.333 * [backup-simplify]: Simplify y into y
6.333 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.333 * [taylor]: Taking taylor expansion of x in x
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify 1 into 1
6.333 * [backup-simplify]: Simplify (* 1 1) into 1
6.333 * [backup-simplify]: Simplify (/ 1 1) into 1
6.334 * [backup-simplify]: Simplify (+ 0 1) into 1
6.334 * [backup-simplify]: Simplify (sqrt 1) into 1
6.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.335 * [backup-simplify]: Simplify (+ 0 0) into 0
6.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.335 * [taylor]: Taking taylor expansion of 1 in y
6.335 * [backup-simplify]: Simplify 1 into 1
6.336 * [taylor]: Taking taylor expansion of 0 in y
6.336 * [backup-simplify]: Simplify 0 into 0
6.336 * [backup-simplify]: Simplify 1 into 1
6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.338 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
6.338 * [taylor]: Taking taylor expansion of 1/2 in y
6.338 * [backup-simplify]: Simplify 1/2 into 1/2
6.338 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.338 * [taylor]: Taking taylor expansion of y in y
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 1 into 1
6.338 * [backup-simplify]: Simplify (* 1 1) into 1
6.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.341 * [backup-simplify]: Simplify (+ 0 0) into 0
6.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.342 * [taylor]: Taking taylor expansion of 0 in y
6.342 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.345 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
6.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
6.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.345 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.345 * [taylor]: Taking taylor expansion of y in y
6.345 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify 1 into 1
6.345 * [backup-simplify]: Simplify (* 1 1) into 1
6.346 * [backup-simplify]: Simplify (/ 1 1) into 1
6.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.346 * [taylor]: Taking taylor expansion of x in y
6.346 * [backup-simplify]: Simplify x into x
6.346 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.346 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.347 * [backup-simplify]: Simplify (+ 1 0) into 1
6.347 * [backup-simplify]: Simplify (sqrt 1) into 1
6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.349 * [backup-simplify]: Simplify (+ 0 0) into 0
6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.350 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.350 * [taylor]: Taking taylor expansion of y in x
6.350 * [backup-simplify]: Simplify y into y
6.350 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.350 * [taylor]: Taking taylor expansion of x in x
6.350 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify 1 into 1
6.350 * [backup-simplify]: Simplify (* 1 1) into 1
6.351 * [backup-simplify]: Simplify (/ 1 1) into 1
6.351 * [backup-simplify]: Simplify (+ 0 1) into 1
6.351 * [backup-simplify]: Simplify (sqrt 1) into 1
6.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.353 * [backup-simplify]: Simplify (+ 0 0) into 0
6.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.354 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.354 * [taylor]: Taking taylor expansion of y in x
6.354 * [backup-simplify]: Simplify y into y
6.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.355 * [taylor]: Taking taylor expansion of x in x
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (* 1 1) into 1
6.355 * [backup-simplify]: Simplify (/ 1 1) into 1
6.356 * [backup-simplify]: Simplify (+ 0 1) into 1
6.356 * [backup-simplify]: Simplify (sqrt 1) into 1
6.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.359 * [taylor]: Taking taylor expansion of 1 in y
6.359 * [backup-simplify]: Simplify 1 into 1
6.359 * [taylor]: Taking taylor expansion of 0 in y
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.361 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
6.363 * [taylor]: Taking taylor expansion of 1/2 in y
6.363 * [backup-simplify]: Simplify 1/2 into 1/2
6.363 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.363 * [taylor]: Taking taylor expansion of y in y
6.363 * [backup-simplify]: Simplify 0 into 0
6.363 * [backup-simplify]: Simplify 1 into 1
6.363 * [backup-simplify]: Simplify (* 1 1) into 1
6.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.368 * [backup-simplify]: Simplify (+ 0 0) into 0
6.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.369 * [taylor]: Taking taylor expansion of 0 in y
6.369 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
6.372 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
6.372 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
6.372 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
6.372 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.372 * [taylor]: Taking taylor expansion of x in y
6.372 * [backup-simplify]: Simplify x into x
6.372 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.372 * [taylor]: Taking taylor expansion of y in y
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.372 * [taylor]: Taking taylor expansion of x in y
6.372 * [backup-simplify]: Simplify x into x
6.372 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.372 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.372 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.373 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
6.373 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
6.373 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.373 * [taylor]: Taking taylor expansion of x in x
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.373 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.373 * [taylor]: Taking taylor expansion of y in x
6.373 * [backup-simplify]: Simplify y into y
6.373 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.373 * [taylor]: Taking taylor expansion of x in x
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (* 1 1) into 1
6.374 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.374 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.374 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
6.374 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.374 * [taylor]: Taking taylor expansion of x in x
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.374 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.374 * [taylor]: Taking taylor expansion of y in x
6.374 * [backup-simplify]: Simplify y into y
6.374 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.374 * [taylor]: Taking taylor expansion of x in x
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.375 * [backup-simplify]: Simplify (* 1 1) into 1
6.375 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.375 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.375 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.375 * [taylor]: Taking taylor expansion of y in y
6.375 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify (* 1 1) into 1
6.377 * [backup-simplify]: Simplify (/ 1 1) into 1
6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.380 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.382 * [backup-simplify]: Simplify (+ 0 0) into 0
6.382 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.382 * [taylor]: Taking taylor expansion of 0 in y
6.382 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.384 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.386 * [backup-simplify]: Simplify (* 1 1) into 1
6.387 * [backup-simplify]: Simplify (+ 0 1) into 1
6.387 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
6.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.387 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.387 * [taylor]: Taking taylor expansion of y in y
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.388 * [backup-simplify]: Simplify (* 1 1) into 1
6.388 * [backup-simplify]: Simplify (* 1 1) into 1
6.388 * [backup-simplify]: Simplify (/ 1 1) into 1
6.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.399 * [backup-simplify]: Simplify (- 0) into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
6.400 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
6.400 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.400 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.400 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.400 * [taylor]: Taking taylor expansion of x in y
6.400 * [backup-simplify]: Simplify x into x
6.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.400 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.400 * [taylor]: Taking taylor expansion of y in y
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.401 * [backup-simplify]: Simplify (* 1 1) into 1
6.401 * [backup-simplify]: Simplify (/ 1 1) into 1
6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.401 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.401 * [taylor]: Taking taylor expansion of x in y
6.401 * [backup-simplify]: Simplify x into x
6.401 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.401 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.401 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.401 * [backup-simplify]: Simplify (+ 1 0) into 1
6.402 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
6.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.402 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.402 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.402 * [taylor]: Taking taylor expansion of x in x
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify 1 into 1
6.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.402 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.402 * [taylor]: Taking taylor expansion of y in x
6.402 * [backup-simplify]: Simplify y into y
6.402 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.402 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.402 * [taylor]: Taking taylor expansion of x in x
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify 1 into 1
6.402 * [backup-simplify]: Simplify (* 1 1) into 1
6.403 * [backup-simplify]: Simplify (/ 1 1) into 1
6.403 * [backup-simplify]: Simplify (* 1 1) into 1
6.403 * [backup-simplify]: Simplify (+ 0 1) into 1
6.403 * [backup-simplify]: Simplify (* 1 1) into 1
6.404 * [backup-simplify]: Simplify (/ 1 1) into 1
6.404 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.404 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.404 * [taylor]: Taking taylor expansion of x in x
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 1 into 1
6.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.404 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.404 * [taylor]: Taking taylor expansion of y in x
6.404 * [backup-simplify]: Simplify y into y
6.404 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.404 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.404 * [taylor]: Taking taylor expansion of x in x
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 1 into 1
6.404 * [backup-simplify]: Simplify (* 1 1) into 1
6.405 * [backup-simplify]: Simplify (/ 1 1) into 1
6.405 * [backup-simplify]: Simplify (* 1 1) into 1
6.405 * [backup-simplify]: Simplify (+ 0 1) into 1
6.405 * [backup-simplify]: Simplify (* 1 1) into 1
6.406 * [backup-simplify]: Simplify (/ 1 1) into 1
6.406 * [taylor]: Taking taylor expansion of 1 in y
6.406 * [backup-simplify]: Simplify 1 into 1
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.407 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.409 * [taylor]: Taking taylor expansion of 0 in y
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.411 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.412 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
6.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
6.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
6.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.412 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.412 * [taylor]: Taking taylor expansion of y in y
6.412 * [backup-simplify]: Simplify 0 into 0
6.412 * [backup-simplify]: Simplify 1 into 1
6.412 * [backup-simplify]: Simplify (* 1 1) into 1
6.413 * [backup-simplify]: Simplify (/ 1 1) into 1
6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
6.417 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
6.417 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.418 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.418 * [taylor]: Taking taylor expansion of x in y
6.418 * [backup-simplify]: Simplify x into x
6.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.418 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.418 * [taylor]: Taking taylor expansion of y in y
6.418 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify 1 into 1
6.418 * [backup-simplify]: Simplify (* 1 1) into 1
6.418 * [backup-simplify]: Simplify (/ 1 1) into 1
6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.418 * [taylor]: Taking taylor expansion of x in y
6.418 * [backup-simplify]: Simplify x into x
6.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.418 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.419 * [backup-simplify]: Simplify (+ 1 0) into 1
6.419 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
6.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.419 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.419 * [taylor]: Taking taylor expansion of x in x
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.419 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.419 * [taylor]: Taking taylor expansion of y in x
6.419 * [backup-simplify]: Simplify y into y
6.419 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.419 * [taylor]: Taking taylor expansion of x in x
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [backup-simplify]: Simplify (* 1 1) into 1
6.420 * [backup-simplify]: Simplify (/ 1 1) into 1
6.420 * [backup-simplify]: Simplify (* 1 1) into 1
6.420 * [backup-simplify]: Simplify (+ 0 1) into 1
6.420 * [backup-simplify]: Simplify (* 1 1) into 1
6.421 * [backup-simplify]: Simplify (/ 1 1) into 1
6.421 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.421 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.421 * [taylor]: Taking taylor expansion of x in x
6.421 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify 1 into 1
6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.421 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.421 * [taylor]: Taking taylor expansion of y in x
6.421 * [backup-simplify]: Simplify y into y
6.421 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.421 * [taylor]: Taking taylor expansion of x in x
6.421 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify 1 into 1
6.421 * [backup-simplify]: Simplify (* 1 1) into 1
6.422 * [backup-simplify]: Simplify (/ 1 1) into 1
6.422 * [backup-simplify]: Simplify (* 1 1) into 1
6.422 * [backup-simplify]: Simplify (+ 0 1) into 1
6.422 * [backup-simplify]: Simplify (* 1 1) into 1
6.422 * [backup-simplify]: Simplify (/ 1 1) into 1
6.423 * [taylor]: Taking taylor expansion of 1 in y
6.423 * [backup-simplify]: Simplify 1 into 1
6.423 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (+ 0 0) into 0
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.425 * [taylor]: Taking taylor expansion of 0 in y
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.426 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.427 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
6.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
6.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.428 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.428 * [taylor]: Taking taylor expansion of y in y
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 1 into 1
6.428 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (/ 1 1) into 1
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.433 * [backup-simplify]: Simplify (- 0) into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.433 * [backup-simplify]: Simplify (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
6.434 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
6.434 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
6.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.434 * [taylor]: Taking taylor expansion of y in x
6.434 * [backup-simplify]: Simplify y into y
6.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.434 * [taylor]: Taking taylor expansion of y in x
6.434 * [backup-simplify]: Simplify y into y
6.434 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.434 * [taylor]: Taking taylor expansion of x in x
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 1 into 1
6.434 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.434 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.434 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.434 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
6.434 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.434 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.434 * [taylor]: Taking taylor expansion of y in y
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 1 into 1
6.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.434 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.434 * [taylor]: Taking taylor expansion of y in y
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 1 into 1
6.434 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.434 * [taylor]: Taking taylor expansion of x in y
6.434 * [backup-simplify]: Simplify x into x
6.435 * [backup-simplify]: Simplify (* 1 1) into 1
6.435 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.435 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.435 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.435 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.435 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.435 * [taylor]: Taking taylor expansion of y in y
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 1 into 1
6.435 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.435 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.435 * [taylor]: Taking taylor expansion of y in y
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 1 into 1
6.435 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.435 * [taylor]: Taking taylor expansion of x in y
6.435 * [backup-simplify]: Simplify x into x
6.435 * [backup-simplify]: Simplify (* 1 1) into 1
6.435 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.436 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.436 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.436 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.436 * [taylor]: Taking taylor expansion of x in x
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 1 into 1
6.436 * [backup-simplify]: Simplify (* 1 1) into 1
6.436 * [backup-simplify]: Simplify (/ 1 1) into 1
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.439 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.439 * [backup-simplify]: Simplify (+ 0 0) into 0
6.439 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.439 * [taylor]: Taking taylor expansion of 0 in x
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.441 * [backup-simplify]: Simplify 0 into 0
6.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.441 * [backup-simplify]: Simplify (* 1 1) into 1
6.442 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
6.442 * [backup-simplify]: Simplify (+ 1 0) into 1
6.442 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
6.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
6.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.442 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.442 * [taylor]: Taking taylor expansion of x in x
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.443 * [backup-simplify]: Simplify (* 1 1) into 1
6.443 * [backup-simplify]: Simplify (* 1 1) into 1
6.443 * [backup-simplify]: Simplify (/ 1 1) into 1
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (- 0) into 0
6.451 * [backup-simplify]: Simplify 0 into 0
6.451 * [backup-simplify]: Simplify 0 into 0
6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify (* (/ (/ 1 y) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (/ 1 y) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
6.453 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.453 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.453 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.453 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.453 * [taylor]: Taking taylor expansion of y in x
6.453 * [backup-simplify]: Simplify y into y
6.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.453 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.453 * [taylor]: Taking taylor expansion of y in x
6.453 * [backup-simplify]: Simplify y into y
6.453 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.453 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.453 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.453 * [taylor]: Taking taylor expansion of x in x
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 1 into 1
6.454 * [backup-simplify]: Simplify (* 1 1) into 1
6.454 * [backup-simplify]: Simplify (/ 1 1) into 1
6.454 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.455 * [backup-simplify]: Simplify (+ 0 1) into 1
6.455 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.455 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.455 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.455 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.455 * [taylor]: Taking taylor expansion of y in y
6.455 * [backup-simplify]: Simplify 0 into 0
6.455 * [backup-simplify]: Simplify 1 into 1
6.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.455 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.455 * [taylor]: Taking taylor expansion of y in y
6.455 * [backup-simplify]: Simplify 0 into 0
6.455 * [backup-simplify]: Simplify 1 into 1
6.456 * [backup-simplify]: Simplify (* 1 1) into 1
6.456 * [backup-simplify]: Simplify (/ 1 1) into 1
6.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.456 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.456 * [taylor]: Taking taylor expansion of x in y
6.456 * [backup-simplify]: Simplify x into x
6.456 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.457 * [backup-simplify]: Simplify (* 1 1) into 1
6.457 * [backup-simplify]: Simplify (+ 1 0) into 1
6.458 * [backup-simplify]: Simplify (* 1 1) into 1
6.458 * [backup-simplify]: Simplify (/ 1 1) into 1
6.458 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.458 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.458 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.458 * [taylor]: Taking taylor expansion of y in y
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 1 into 1
6.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.458 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.458 * [taylor]: Taking taylor expansion of y in y
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 1 into 1
6.459 * [backup-simplify]: Simplify (* 1 1) into 1
6.459 * [backup-simplify]: Simplify (/ 1 1) into 1
6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.459 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.459 * [taylor]: Taking taylor expansion of x in y
6.459 * [backup-simplify]: Simplify x into x
6.459 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.460 * [backup-simplify]: Simplify (* 1 1) into 1
6.460 * [backup-simplify]: Simplify (+ 1 0) into 1
6.461 * [backup-simplify]: Simplify (* 1 1) into 1
6.461 * [backup-simplify]: Simplify (/ 1 1) into 1
6.461 * [taylor]: Taking taylor expansion of 1 in x
6.461 * [backup-simplify]: Simplify 1 into 1
6.461 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.463 * [backup-simplify]: Simplify (+ 0 0) into 0
6.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.466 * [taylor]: Taking taylor expansion of 0 in x
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.470 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.470 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.470 * [taylor]: Taking taylor expansion of x in x
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.471 * [backup-simplify]: Simplify (* 1 1) into 1
6.471 * [backup-simplify]: Simplify (/ 1 1) into 1
6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.475 * [backup-simplify]: Simplify (- 0) into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (/ 1 (- y)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
6.476 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.476 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.476 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.476 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.476 * [taylor]: Taking taylor expansion of y in x
6.476 * [backup-simplify]: Simplify y into y
6.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.476 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.476 * [taylor]: Taking taylor expansion of y in x
6.476 * [backup-simplify]: Simplify y into y
6.476 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.476 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.476 * [taylor]: Taking taylor expansion of x in x
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [backup-simplify]: Simplify (* 1 1) into 1
6.477 * [backup-simplify]: Simplify (/ 1 1) into 1
6.477 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.477 * [backup-simplify]: Simplify (+ 0 1) into 1
6.477 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.477 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.477 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.477 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.477 * [taylor]: Taking taylor expansion of y in y
6.477 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify 1 into 1
6.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.477 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.477 * [taylor]: Taking taylor expansion of y in y
6.477 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify 1 into 1
6.478 * [backup-simplify]: Simplify (* 1 1) into 1
6.478 * [backup-simplify]: Simplify (/ 1 1) into 1
6.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.478 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.478 * [taylor]: Taking taylor expansion of x in y
6.478 * [backup-simplify]: Simplify x into x
6.478 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.478 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.478 * [backup-simplify]: Simplify (* 1 1) into 1
6.478 * [backup-simplify]: Simplify (+ 1 0) into 1
6.479 * [backup-simplify]: Simplify (* 1 1) into 1
6.479 * [backup-simplify]: Simplify (/ 1 1) into 1
6.479 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.479 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.479 * [taylor]: Taking taylor expansion of y in y
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 1 into 1
6.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.479 * [taylor]: Taking taylor expansion of y in y
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 1 into 1
6.479 * [backup-simplify]: Simplify (* 1 1) into 1
6.480 * [backup-simplify]: Simplify (/ 1 1) into 1
6.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.480 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.480 * [taylor]: Taking taylor expansion of x in y
6.480 * [backup-simplify]: Simplify x into x
6.480 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.480 * [backup-simplify]: Simplify (* 1 1) into 1
6.480 * [backup-simplify]: Simplify (+ 1 0) into 1
6.481 * [backup-simplify]: Simplify (* 1 1) into 1
6.481 * [backup-simplify]: Simplify (/ 1 1) into 1
6.481 * [taylor]: Taking taylor expansion of 1 in x
6.481 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.482 * [backup-simplify]: Simplify (+ 0 0) into 0
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.483 * [taylor]: Taking taylor expansion of 0 in x
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.484 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.485 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.486 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.486 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.486 * [taylor]: Taking taylor expansion of x in x
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 1 into 1
6.486 * [backup-simplify]: Simplify (* 1 1) into 1
6.487 * [backup-simplify]: Simplify (/ 1 1) into 1
6.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.491 * [backup-simplify]: Simplify (- 0) into 0
6.491 * [backup-simplify]: Simplify 0 into 0
6.491 * [backup-simplify]: Simplify 0 into 0
6.491 * [backup-simplify]: Simplify 0 into 0
6.491 * [backup-simplify]: Simplify 0 into 0
6.491 * * * [progress]: simplifying candidates
6.494 * [simplify]: Simplifying:
  (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))))
  (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))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (+ 1 1)
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ 1 1)
  (+ (- (log y) (log (sqrt (+ (* x x) (* y y))))) (- (log y) (log (sqrt (+ (* x x) (* y y))))))
  (+ (- (log y) (log (sqrt (+ (* x x) (* y y))))) (log (/ y (sqrt (+ (* x x) (* y y))))))
  (+ (log (/ y (sqrt (+ (* x x) (* y y))))) (- (log y) (log (sqrt (+ (* x x) (* y y))))))
  (+ (log (/ y (sqrt (+ (* x x) (* y y))))) (log (/ y (sqrt (+ (* x x) (* y y))))))
  (log (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (exp (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))) (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* y y)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y)))))) (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ (cbrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ (cbrt y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt 1)))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) 1) (/ (* (cbrt y) (cbrt y)) 1))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (sqrt y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ (sqrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (sqrt y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
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  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
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  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  0
  0
  0
  0
  0
  0
6.498 * * [simplify]: iteration 0: 207 enodes
6.556 * * [simplify]: iteration 1: 721 enodes
6.813 * * [simplify]: iteration complete: 5000 enodes
6.813 * * [simplify]: Extracting #0: cost 110 inf + 0
6.816 * * [simplify]: Extracting #1: cost 1382 inf + 251
6.843 * * [simplify]: Extracting #2: cost 1904 inf + 46050
6.947 * * [simplify]: Extracting #3: cost 698 inf + 355957
7.099 * * [simplify]: Extracting #4: cost 40 inf + 552758
7.262 * * [simplify]: Extracting #5: cost 5 inf + 565673
7.427 * * [simplify]: Extracting #6: cost 0 inf + 566636
7.545 * [simplify]: Simplified to:
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  x
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  2
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  2
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  (* (/ y (cbrt (sqrt (+ (* y y) (* x x))))) (/ y (cbrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (fabs (cbrt (+ (* y y) (* x x))))) (/ 1 (fabs (cbrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (cbrt (+ (* y y) (* x x))))) (/ y (sqrt (cbrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* y y)
  (/ 1 (+ (* y y) (* x x)))
  (* (/ y (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))) (/ y (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))
  (/ (/ (* y y) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (* x x) (* y y))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  2
  (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt (/ y (sqrt (+ (* y y) (* x x))))) (cbrt (/ y (sqrt (+ (* y y) (* x x)))))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (* (* (/ (cbrt y) (cbrt (sqrt (+ (* y y) (* x x))))) (/ (cbrt y) (cbrt (sqrt (+ (* y y) (* x x)))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (cbrt y) (/ (fabs (cbrt (+ (* y y) (* x x)))) (cbrt y)))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt y) (cbrt y))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* y (* (cbrt y) (cbrt y))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt y) (cbrt y))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* y (* (cbrt y) (cbrt y))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (/ (* (sqrt y) (/ y (sqrt (+ (* y y) (* x x))))) (fabs (cbrt (+ (* y y) (* x x)))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y))))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (* (cbrt (/ y (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (/ (* (cbrt y) y) (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (/ (cbrt y) (/ (sqrt (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (* (/ (cbrt y) (sqrt (sqrt (+ (* y y) (* x x))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (+ (* y y) (* x x)))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (sqrt (+ (* y y) (* x x))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (+ (* y y) (* x x)))) y) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* (sqrt y) y) (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))))
  (/ (/ (* y y) (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (/ (* y y) (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (* y (sqrt (- (* x x) (* y y)))) (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  y
  x
  (- x)
  y
  x
  (- x)
  0
  0
  0
  0
  0
  0
7.577 * * * [progress]: adding candidates to table
8.499 * * [progress]: iteration 3 / 4
8.499 * * * [progress]: picking best candidate
8.503 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>
8.503 * * * [progress]: localizing error
8.546 * * * [progress]: generating rewritten candidates
8.546 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
8.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
8.594 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
8.615 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2)
8.623 * * * [progress]: generating series expansions
8.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
8.624 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
8.624 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
8.624 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
8.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.624 * [taylor]: Taking taylor expansion of y in x
8.624 * [backup-simplify]: Simplify y into y
8.624 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.624 * [taylor]: Taking taylor expansion of y in x
8.624 * [backup-simplify]: Simplify y into y
8.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.624 * [taylor]: Taking taylor expansion of x in x
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.624 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.624 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
8.624 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
8.624 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.624 * [taylor]: Taking taylor expansion of y in y
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.624 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.624 * [taylor]: Taking taylor expansion of y in y
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.624 * [taylor]: Taking taylor expansion of x in y
8.624 * [backup-simplify]: Simplify x into x
8.625 * [backup-simplify]: Simplify (* 1 1) into 1
8.625 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.625 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.625 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
8.625 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.625 * [taylor]: Taking taylor expansion of y in y
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify 1 into 1
8.625 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.625 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.625 * [taylor]: Taking taylor expansion of y in y
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify 1 into 1
8.625 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.625 * [taylor]: Taking taylor expansion of x in y
8.625 * [backup-simplify]: Simplify x into x
8.626 * [backup-simplify]: Simplify (* 1 1) into 1
8.626 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.626 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.626 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.626 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.626 * [taylor]: Taking taylor expansion of x in x
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 1 into 1
8.626 * [backup-simplify]: Simplify (* 1 1) into 1
8.626 * [backup-simplify]: Simplify (/ 1 1) into 1
8.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.629 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.629 * [backup-simplify]: Simplify (+ 0 0) into 0
8.630 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.630 * [taylor]: Taking taylor expansion of 0 in x
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.632 * [backup-simplify]: Simplify (* 1 1) into 1
8.632 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.632 * [backup-simplify]: Simplify (+ 1 0) into 1
8.633 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
8.633 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
8.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
8.633 * [taylor]: Taking taylor expansion of (pow x 4) in x
8.633 * [taylor]: Taking taylor expansion of x in x
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (* 1 1) into 1
8.633 * [backup-simplify]: Simplify (* 1 1) into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (- 0) into 0
8.640 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.642 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
8.642 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.642 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.642 * [taylor]: Taking taylor expansion of y in x
8.642 * [backup-simplify]: Simplify y into y
8.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.642 * [taylor]: Taking taylor expansion of y in x
8.642 * [backup-simplify]: Simplify y into y
8.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.642 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.642 * [taylor]: Taking taylor expansion of x in x
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 1 into 1
8.642 * [backup-simplify]: Simplify (* 1 1) into 1
8.643 * [backup-simplify]: Simplify (/ 1 1) into 1
8.643 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.643 * [backup-simplify]: Simplify (+ 0 1) into 1
8.643 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
8.643 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.643 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.643 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.643 * [taylor]: Taking taylor expansion of y in y
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.643 * [taylor]: Taking taylor expansion of y in y
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.644 * [backup-simplify]: Simplify (/ 1 1) into 1
8.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.644 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.644 * [taylor]: Taking taylor expansion of x in y
8.644 * [backup-simplify]: Simplify x into x
8.644 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.644 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.645 * [backup-simplify]: Simplify (+ 1 0) into 1
8.645 * [backup-simplify]: Simplify (* 1 1) into 1
8.645 * [backup-simplify]: Simplify (/ 1 1) into 1
8.645 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.645 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.645 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.645 * [taylor]: Taking taylor expansion of y in y
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 1 into 1
8.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.645 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.645 * [taylor]: Taking taylor expansion of y in y
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 1 into 1
8.645 * [backup-simplify]: Simplify (* 1 1) into 1
8.646 * [backup-simplify]: Simplify (/ 1 1) into 1
8.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.646 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.646 * [taylor]: Taking taylor expansion of x in y
8.646 * [backup-simplify]: Simplify x into x
8.646 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.646 * [backup-simplify]: Simplify (* 1 1) into 1
8.646 * [backup-simplify]: Simplify (+ 1 0) into 1
8.647 * [backup-simplify]: Simplify (* 1 1) into 1
8.647 * [backup-simplify]: Simplify (/ 1 1) into 1
8.647 * [taylor]: Taking taylor expansion of 1 in x
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.649 * [taylor]: Taking taylor expansion of 0 in x
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.651 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.652 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
8.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.653 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.653 * [taylor]: Taking taylor expansion of x in x
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify 1 into 1
8.653 * [backup-simplify]: Simplify (* 1 1) into 1
8.654 * [backup-simplify]: Simplify (/ 1 1) into 1
8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.662 * [backup-simplify]: Simplify (- 0) into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.662 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
8.662 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.662 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.662 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.662 * [taylor]: Taking taylor expansion of y in x
8.663 * [backup-simplify]: Simplify y into y
8.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.663 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.663 * [taylor]: Taking taylor expansion of y in x
8.663 * [backup-simplify]: Simplify y into y
8.663 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.663 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.663 * [taylor]: Taking taylor expansion of x in x
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [backup-simplify]: Simplify (* 1 1) into 1
8.664 * [backup-simplify]: Simplify (/ 1 1) into 1
8.664 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.664 * [backup-simplify]: Simplify (+ 0 1) into 1
8.665 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
8.665 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.665 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.665 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.665 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.665 * [taylor]: Taking taylor expansion of y in y
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.665 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.665 * [taylor]: Taking taylor expansion of y in y
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.665 * [backup-simplify]: Simplify (* 1 1) into 1
8.666 * [backup-simplify]: Simplify (/ 1 1) into 1
8.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.666 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.666 * [taylor]: Taking taylor expansion of x in y
8.666 * [backup-simplify]: Simplify x into x
8.666 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.666 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.667 * [backup-simplify]: Simplify (* 1 1) into 1
8.667 * [backup-simplify]: Simplify (+ 1 0) into 1
8.667 * [backup-simplify]: Simplify (* 1 1) into 1
8.668 * [backup-simplify]: Simplify (/ 1 1) into 1
8.668 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.668 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.668 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.668 * [taylor]: Taking taylor expansion of y in y
8.668 * [backup-simplify]: Simplify 0 into 0
8.668 * [backup-simplify]: Simplify 1 into 1
8.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.668 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.668 * [taylor]: Taking taylor expansion of y in y
8.668 * [backup-simplify]: Simplify 0 into 0
8.668 * [backup-simplify]: Simplify 1 into 1
8.669 * [backup-simplify]: Simplify (* 1 1) into 1
8.669 * [backup-simplify]: Simplify (/ 1 1) into 1
8.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.669 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.669 * [taylor]: Taking taylor expansion of x in y
8.669 * [backup-simplify]: Simplify x into x
8.669 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.670 * [backup-simplify]: Simplify (* 1 1) into 1
8.671 * [backup-simplify]: Simplify (+ 1 0) into 1
8.671 * [backup-simplify]: Simplify (* 1 1) into 1
8.671 * [backup-simplify]: Simplify (/ 1 1) into 1
8.671 * [taylor]: Taking taylor expansion of 1 in x
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.673 * [backup-simplify]: Simplify (+ 0 0) into 0
8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [taylor]: Taking taylor expansion of 0 in x
8.675 * [backup-simplify]: Simplify 0 into 0
8.675 * [backup-simplify]: Simplify 0 into 0
8.675 * [backup-simplify]: Simplify 0 into 0
8.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.677 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.678 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.679 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.679 * [taylor]: Taking taylor expansion of x in x
8.679 * [backup-simplify]: Simplify 0 into 0
8.679 * [backup-simplify]: Simplify 1 into 1
8.680 * [backup-simplify]: Simplify (* 1 1) into 1
8.680 * [backup-simplify]: Simplify (/ 1 1) into 1
8.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.687 * [backup-simplify]: Simplify (- 0) into 0
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
8.687 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
8.687 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
8.687 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
8.687 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.687 * [taylor]: Taking taylor expansion of x in y
8.687 * [backup-simplify]: Simplify x into x
8.687 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.687 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.687 * [taylor]: Taking taylor expansion of y in y
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 1 into 1
8.687 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.687 * [taylor]: Taking taylor expansion of x in y
8.688 * [backup-simplify]: Simplify x into x
8.688 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.688 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.688 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.688 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
8.688 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
8.688 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.688 * [taylor]: Taking taylor expansion of x in x
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify 1 into 1
8.688 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.688 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.688 * [taylor]: Taking taylor expansion of y in x
8.688 * [backup-simplify]: Simplify y into y
8.688 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.688 * [taylor]: Taking taylor expansion of x in x
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify (* 1 1) into 1
8.689 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.689 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.689 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
8.689 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.689 * [taylor]: Taking taylor expansion of x in x
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.689 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.689 * [taylor]: Taking taylor expansion of y in x
8.689 * [backup-simplify]: Simplify y into y
8.689 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.689 * [taylor]: Taking taylor expansion of x in x
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.690 * [backup-simplify]: Simplify (* 1 1) into 1
8.690 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.690 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.690 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.690 * [taylor]: Taking taylor expansion of y in y
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 1 into 1
8.691 * [backup-simplify]: Simplify (* 1 1) into 1
8.691 * [backup-simplify]: Simplify (/ 1 1) into 1
8.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.694 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.695 * [backup-simplify]: Simplify (+ 0 0) into 0
8.695 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.695 * [taylor]: Taking taylor expansion of 0 in y
8.695 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.698 * [backup-simplify]: Simplify 0 into 0
8.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.699 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.699 * [backup-simplify]: Simplify (* 1 1) into 1
8.700 * [backup-simplify]: Simplify (+ 0 1) into 1
8.700 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
8.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
8.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.700 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.701 * [taylor]: Taking taylor expansion of y in y
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify (* 1 1) into 1
8.701 * [backup-simplify]: Simplify (* 1 1) into 1
8.702 * [backup-simplify]: Simplify (/ 1 1) into 1
8.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.712 * [backup-simplify]: Simplify (- 0) into 0
8.712 * [backup-simplify]: Simplify 0 into 0
8.712 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.713 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
8.713 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.714 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.714 * [taylor]: Taking taylor expansion of x in y
8.714 * [backup-simplify]: Simplify x into x
8.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.714 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.714 * [taylor]: Taking taylor expansion of y in y
8.714 * [backup-simplify]: Simplify 0 into 0
8.714 * [backup-simplify]: Simplify 1 into 1
8.714 * [backup-simplify]: Simplify (* 1 1) into 1
8.714 * [backup-simplify]: Simplify (/ 1 1) into 1
8.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.714 * [taylor]: Taking taylor expansion of x in y
8.714 * [backup-simplify]: Simplify x into x
8.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.715 * [backup-simplify]: Simplify (+ 1 0) into 1
8.715 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.715 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.715 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.715 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.715 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.715 * [taylor]: Taking taylor expansion of x in x
8.715 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify 1 into 1
8.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.715 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.715 * [taylor]: Taking taylor expansion of y in x
8.715 * [backup-simplify]: Simplify y into y
8.715 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.715 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.715 * [taylor]: Taking taylor expansion of x in x
8.715 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify 1 into 1
8.716 * [backup-simplify]: Simplify (* 1 1) into 1
8.716 * [backup-simplify]: Simplify (/ 1 1) into 1
8.716 * [backup-simplify]: Simplify (* 1 1) into 1
8.716 * [backup-simplify]: Simplify (+ 0 1) into 1
8.717 * [backup-simplify]: Simplify (* 1 1) into 1
8.717 * [backup-simplify]: Simplify (/ 1 1) into 1
8.717 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.717 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.717 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.717 * [taylor]: Taking taylor expansion of x in x
8.717 * [backup-simplify]: Simplify 0 into 0
8.717 * [backup-simplify]: Simplify 1 into 1
8.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.717 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.717 * [taylor]: Taking taylor expansion of y in x
8.717 * [backup-simplify]: Simplify y into y
8.717 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.717 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.717 * [taylor]: Taking taylor expansion of x in x
8.717 * [backup-simplify]: Simplify 0 into 0
8.717 * [backup-simplify]: Simplify 1 into 1
8.717 * [backup-simplify]: Simplify (* 1 1) into 1
8.718 * [backup-simplify]: Simplify (/ 1 1) into 1
8.718 * [backup-simplify]: Simplify (* 1 1) into 1
8.718 * [backup-simplify]: Simplify (+ 0 1) into 1
8.718 * [backup-simplify]: Simplify (* 1 1) into 1
8.719 * [backup-simplify]: Simplify (/ 1 1) into 1
8.719 * [taylor]: Taking taylor expansion of 1 in y
8.719 * [backup-simplify]: Simplify 1 into 1
8.719 * [backup-simplify]: Simplify 0 into 0
8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.720 * [backup-simplify]: Simplify (+ 0 0) into 0
8.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.721 * [taylor]: Taking taylor expansion of 0 in y
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify 0 into 0
8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.723 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.726 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
8.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
8.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
8.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.726 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.726 * [taylor]: Taking taylor expansion of y in y
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.727 * [backup-simplify]: Simplify (* 1 1) into 1
8.727 * [backup-simplify]: Simplify (/ 1 1) into 1
8.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.731 * [backup-simplify]: Simplify (- 0) into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.732 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
8.732 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.732 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.732 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.732 * [taylor]: Taking taylor expansion of x in y
8.732 * [backup-simplify]: Simplify x into x
8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.732 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.732 * [taylor]: Taking taylor expansion of y in y
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 1 into 1
8.732 * [backup-simplify]: Simplify (* 1 1) into 1
8.732 * [backup-simplify]: Simplify (/ 1 1) into 1
8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.732 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.732 * [taylor]: Taking taylor expansion of x in y
8.733 * [backup-simplify]: Simplify x into x
8.733 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.733 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.733 * [backup-simplify]: Simplify (+ 1 0) into 1
8.733 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.733 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.733 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.733 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.733 * [taylor]: Taking taylor expansion of x in x
8.733 * [backup-simplify]: Simplify 0 into 0
8.733 * [backup-simplify]: Simplify 1 into 1
8.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.733 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.733 * [taylor]: Taking taylor expansion of y in x
8.733 * [backup-simplify]: Simplify y into y
8.733 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.734 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.734 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.734 * [taylor]: Taking taylor expansion of x in x
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [backup-simplify]: Simplify (* 1 1) into 1
8.734 * [backup-simplify]: Simplify (/ 1 1) into 1
8.734 * [backup-simplify]: Simplify (* 1 1) into 1
8.735 * [backup-simplify]: Simplify (+ 0 1) into 1
8.735 * [backup-simplify]: Simplify (* 1 1) into 1
8.735 * [backup-simplify]: Simplify (/ 1 1) into 1
8.735 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.735 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.735 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.735 * [taylor]: Taking taylor expansion of x in x
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify 1 into 1
8.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.735 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.735 * [taylor]: Taking taylor expansion of y in x
8.735 * [backup-simplify]: Simplify y into y
8.735 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.736 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.736 * [taylor]: Taking taylor expansion of x in x
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (* 1 1) into 1
8.736 * [backup-simplify]: Simplify (/ 1 1) into 1
8.736 * [backup-simplify]: Simplify (* 1 1) into 1
8.737 * [backup-simplify]: Simplify (+ 0 1) into 1
8.737 * [backup-simplify]: Simplify (* 1 1) into 1
8.737 * [backup-simplify]: Simplify (/ 1 1) into 1
8.737 * [taylor]: Taking taylor expansion of 1 in y
8.737 * [backup-simplify]: Simplify 1 into 1
8.737 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.738 * [backup-simplify]: Simplify (+ 0 0) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.740 * [taylor]: Taking taylor expansion of 0 in y
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.741 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.743 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
8.744 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
8.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.744 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.744 * [taylor]: Taking taylor expansion of y in y
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify (* 1 1) into 1
8.745 * [backup-simplify]: Simplify (/ 1 1) into 1
8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (- 0) into 0
8.753 * [backup-simplify]: Simplify 0 into 0
8.753 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
8.754 * [backup-simplify]: Simplify (log (exp (/ (* y y) (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
8.754 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
8.754 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
8.754 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.754 * [taylor]: Taking taylor expansion of y in x
8.754 * [backup-simplify]: Simplify y into y
8.754 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.754 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.754 * [taylor]: Taking taylor expansion of y in x
8.754 * [backup-simplify]: Simplify y into y
8.754 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.754 * [taylor]: Taking taylor expansion of x in x
8.754 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 1 into 1
8.755 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.755 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.755 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.755 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
8.755 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
8.755 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.755 * [taylor]: Taking taylor expansion of y in y
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 1 into 1
8.755 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.755 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.755 * [taylor]: Taking taylor expansion of y in y
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 1 into 1
8.755 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.755 * [taylor]: Taking taylor expansion of x in y
8.755 * [backup-simplify]: Simplify x into x
8.756 * [backup-simplify]: Simplify (* 1 1) into 1
8.756 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.756 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.756 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.756 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
8.756 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.756 * [taylor]: Taking taylor expansion of y in y
8.756 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.757 * [taylor]: Taking taylor expansion of y in y
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.757 * [taylor]: Taking taylor expansion of x in y
8.757 * [backup-simplify]: Simplify x into x
8.757 * [backup-simplify]: Simplify (* 1 1) into 1
8.757 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.758 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.758 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.758 * [taylor]: Taking taylor expansion of x in x
8.758 * [backup-simplify]: Simplify 0 into 0
8.758 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (* 1 1) into 1
8.759 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.762 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.763 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.763 * [backup-simplify]: Simplify (+ 0 0) into 0
8.764 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.764 * [taylor]: Taking taylor expansion of 0 in x
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.766 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.767 * [backup-simplify]: Simplify (* 1 1) into 1
8.768 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.768 * [backup-simplify]: Simplify (+ 1 0) into 1
8.769 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
8.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
8.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
8.769 * [taylor]: Taking taylor expansion of (pow x 4) in x
8.769 * [taylor]: Taking taylor expansion of x in x
8.769 * [backup-simplify]: Simplify 0 into 0
8.769 * [backup-simplify]: Simplify 1 into 1
8.770 * [backup-simplify]: Simplify (* 1 1) into 1
8.770 * [backup-simplify]: Simplify (* 1 1) into 1
8.770 * [backup-simplify]: Simplify (/ 1 1) into 1
8.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.782 * [backup-simplify]: Simplify (- 0) into 0
8.782 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify (log (exp (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.786 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
8.786 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.786 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.786 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.786 * [taylor]: Taking taylor expansion of y in x
8.786 * [backup-simplify]: Simplify y into y
8.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.786 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.786 * [taylor]: Taking taylor expansion of y in x
8.786 * [backup-simplify]: Simplify y into y
8.786 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.786 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.786 * [taylor]: Taking taylor expansion of x in x
8.786 * [backup-simplify]: Simplify 0 into 0
8.786 * [backup-simplify]: Simplify 1 into 1
8.787 * [backup-simplify]: Simplify (* 1 1) into 1
8.787 * [backup-simplify]: Simplify (/ 1 1) into 1
8.787 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.788 * [backup-simplify]: Simplify (+ 0 1) into 1
8.788 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
8.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.788 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.788 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.788 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.788 * [taylor]: Taking taylor expansion of y in y
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 1 into 1
8.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.788 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.788 * [taylor]: Taking taylor expansion of y in y
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 1 into 1
8.789 * [backup-simplify]: Simplify (* 1 1) into 1
8.789 * [backup-simplify]: Simplify (/ 1 1) into 1
8.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.789 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.789 * [taylor]: Taking taylor expansion of x in y
8.789 * [backup-simplify]: Simplify x into x
8.790 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.790 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.790 * [backup-simplify]: Simplify (* 1 1) into 1
8.791 * [backup-simplify]: Simplify (+ 1 0) into 1
8.791 * [backup-simplify]: Simplify (* 1 1) into 1
8.791 * [backup-simplify]: Simplify (/ 1 1) into 1
8.791 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.791 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.791 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.792 * [taylor]: Taking taylor expansion of y in y
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.792 * [taylor]: Taking taylor expansion of y in y
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [backup-simplify]: Simplify (* 1 1) into 1
8.793 * [backup-simplify]: Simplify (/ 1 1) into 1
8.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.793 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.793 * [taylor]: Taking taylor expansion of x in y
8.793 * [backup-simplify]: Simplify x into x
8.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.793 * [backup-simplify]: Simplify (* 1 1) into 1
8.794 * [backup-simplify]: Simplify (+ 1 0) into 1
8.794 * [backup-simplify]: Simplify (* 1 1) into 1
8.795 * [backup-simplify]: Simplify (/ 1 1) into 1
8.795 * [taylor]: Taking taylor expansion of 1 in x
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.797 * [backup-simplify]: Simplify (+ 0 0) into 0
8.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.799 * [taylor]: Taking taylor expansion of 0 in x
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.801 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.803 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.804 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.804 * [taylor]: Taking taylor expansion of x in x
8.804 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify 1 into 1
8.805 * [backup-simplify]: Simplify (* 1 1) into 1
8.805 * [backup-simplify]: Simplify (/ 1 1) into 1
8.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.814 * [backup-simplify]: Simplify (- 0) into 0
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 0 into 0
8.815 * [backup-simplify]: Simplify (log (exp (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.815 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
8.815 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.815 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.815 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.815 * [taylor]: Taking taylor expansion of y in x
8.815 * [backup-simplify]: Simplify y into y
8.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.815 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.815 * [taylor]: Taking taylor expansion of y in x
8.815 * [backup-simplify]: Simplify y into y
8.815 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.815 * [taylor]: Taking taylor expansion of x in x
8.815 * [backup-simplify]: Simplify 0 into 0
8.815 * [backup-simplify]: Simplify 1 into 1
8.816 * [backup-simplify]: Simplify (* 1 1) into 1
8.816 * [backup-simplify]: Simplify (/ 1 1) into 1
8.816 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.817 * [backup-simplify]: Simplify (+ 0 1) into 1
8.817 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
8.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.817 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.817 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.817 * [taylor]: Taking taylor expansion of y in y
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.817 * [taylor]: Taking taylor expansion of y in y
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.818 * [backup-simplify]: Simplify (* 1 1) into 1
8.818 * [backup-simplify]: Simplify (/ 1 1) into 1
8.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.818 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.818 * [taylor]: Taking taylor expansion of x in y
8.818 * [backup-simplify]: Simplify x into x
8.818 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.818 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.819 * [backup-simplify]: Simplify (* 1 1) into 1
8.819 * [backup-simplify]: Simplify (+ 1 0) into 1
8.820 * [backup-simplify]: Simplify (* 1 1) into 1
8.820 * [backup-simplify]: Simplify (/ 1 1) into 1
8.820 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.820 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.820 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.820 * [taylor]: Taking taylor expansion of y in y
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify 1 into 1
8.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.821 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.821 * [taylor]: Taking taylor expansion of y in y
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [backup-simplify]: Simplify (* 1 1) into 1
8.821 * [backup-simplify]: Simplify (/ 1 1) into 1
8.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.821 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.822 * [taylor]: Taking taylor expansion of x in y
8.822 * [backup-simplify]: Simplify x into x
8.822 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.822 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.822 * [backup-simplify]: Simplify (* 1 1) into 1
8.823 * [backup-simplify]: Simplify (+ 1 0) into 1
8.823 * [backup-simplify]: Simplify (* 1 1) into 1
8.823 * [backup-simplify]: Simplify (/ 1 1) into 1
8.824 * [taylor]: Taking taylor expansion of 1 in x
8.824 * [backup-simplify]: Simplify 1 into 1
8.824 * [backup-simplify]: Simplify 0 into 0
8.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.826 * [backup-simplify]: Simplify (+ 0 0) into 0
8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.828 * [taylor]: Taking taylor expansion of 0 in x
8.828 * [backup-simplify]: Simplify 0 into 0
8.828 * [backup-simplify]: Simplify 0 into 0
8.828 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.829 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.830 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
8.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.831 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.831 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.831 * [taylor]: Taking taylor expansion of x in x
8.831 * [backup-simplify]: Simplify 0 into 0
8.831 * [backup-simplify]: Simplify 1 into 1
8.831 * [backup-simplify]: Simplify (* 1 1) into 1
8.831 * [backup-simplify]: Simplify (/ 1 1) into 1
8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify (- 0) into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2)
8.837 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
8.837 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
8.837 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.837 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.837 * [taylor]: Taking taylor expansion of y in y
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.837 * [taylor]: Taking taylor expansion of x in y
8.837 * [backup-simplify]: Simplify x into x
8.837 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.837 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.837 * [taylor]: Taking taylor expansion of y in x
8.837 * [backup-simplify]: Simplify y into y
8.837 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.837 * [taylor]: Taking taylor expansion of x in x
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.837 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.837 * [taylor]: Taking taylor expansion of y in x
8.837 * [backup-simplify]: Simplify y into y
8.837 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.837 * [taylor]: Taking taylor expansion of x in x
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.837 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.837 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.837 * [taylor]: Taking taylor expansion of y in y
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.838 * [backup-simplify]: Simplify (+ 0 0) into 0
8.838 * [taylor]: Taking taylor expansion of 0 in y
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.838 * [backup-simplify]: Simplify (* 1 1) into 1
8.839 * [backup-simplify]: Simplify (+ 0 1) into 1
8.839 * [taylor]: Taking taylor expansion of 1 in y
8.839 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify (* 1 1) into 1
8.839 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.840 * [backup-simplify]: Simplify (+ 0 0) into 0
8.840 * [taylor]: Taking taylor expansion of 0 in y
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.842 * [backup-simplify]: Simplify (+ 0 0) into 0
8.842 * [taylor]: Taking taylor expansion of 0 in y
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
8.843 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
8.843 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
8.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.843 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.843 * [taylor]: Taking taylor expansion of y in y
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify (* 1 1) into 1
8.843 * [backup-simplify]: Simplify (/ 1 1) into 1
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.843 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.843 * [taylor]: Taking taylor expansion of x in y
8.843 * [backup-simplify]: Simplify x into x
8.843 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.844 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.844 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.844 * [taylor]: Taking taylor expansion of y in x
8.844 * [backup-simplify]: Simplify y into y
8.844 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.844 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.844 * [taylor]: Taking taylor expansion of x in x
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.844 * [backup-simplify]: Simplify (/ 1 1) into 1
8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.844 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.844 * [taylor]: Taking taylor expansion of y in x
8.844 * [backup-simplify]: Simplify y into y
8.844 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.845 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.845 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.845 * [taylor]: Taking taylor expansion of x in x
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify 1 into 1
8.845 * [backup-simplify]: Simplify (* 1 1) into 1
8.845 * [backup-simplify]: Simplify (/ 1 1) into 1
8.845 * [backup-simplify]: Simplify (+ 0 1) into 1
8.845 * [taylor]: Taking taylor expansion of 1 in y
8.845 * [backup-simplify]: Simplify 1 into 1
8.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.847 * [backup-simplify]: Simplify (+ 0 0) into 0
8.847 * [taylor]: Taking taylor expansion of 0 in y
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.848 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.848 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.848 * [taylor]: Taking taylor expansion of y in y
8.848 * [backup-simplify]: Simplify 0 into 0
8.848 * [backup-simplify]: Simplify 1 into 1
8.848 * [backup-simplify]: Simplify (* 1 1) into 1
8.848 * [backup-simplify]: Simplify (/ 1 1) into 1
8.848 * [backup-simplify]: Simplify 1 into 1
8.848 * [backup-simplify]: Simplify 1 into 1
8.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (+ 0 0) into 0
8.850 * [taylor]: Taking taylor expansion of 0 in y
8.850 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.851 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.853 * [backup-simplify]: Simplify (+ 0 0) into 0
8.853 * [taylor]: Taking taylor expansion of 0 in y
8.853 * [backup-simplify]: Simplify 0 into 0
8.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
8.857 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
8.857 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
8.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.857 * [taylor]: Taking taylor expansion of y in y
8.857 * [backup-simplify]: Simplify 0 into 0
8.857 * [backup-simplify]: Simplify 1 into 1
8.857 * [backup-simplify]: Simplify (* 1 1) into 1
8.858 * [backup-simplify]: Simplify (/ 1 1) into 1
8.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.858 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.858 * [taylor]: Taking taylor expansion of x in y
8.858 * [backup-simplify]: Simplify x into x
8.858 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.858 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.858 * [taylor]: Taking taylor expansion of y in x
8.858 * [backup-simplify]: Simplify y into y
8.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.858 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.858 * [taylor]: Taking taylor expansion of x in x
8.858 * [backup-simplify]: Simplify 0 into 0
8.859 * [backup-simplify]: Simplify 1 into 1
8.859 * [backup-simplify]: Simplify (* 1 1) into 1
8.859 * [backup-simplify]: Simplify (/ 1 1) into 1
8.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.859 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.859 * [taylor]: Taking taylor expansion of y in x
8.859 * [backup-simplify]: Simplify y into y
8.860 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.860 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.860 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.860 * [taylor]: Taking taylor expansion of x in x
8.860 * [backup-simplify]: Simplify 0 into 0
8.860 * [backup-simplify]: Simplify 1 into 1
8.860 * [backup-simplify]: Simplify (* 1 1) into 1
8.861 * [backup-simplify]: Simplify (/ 1 1) into 1
8.861 * [backup-simplify]: Simplify (+ 0 1) into 1
8.861 * [taylor]: Taking taylor expansion of 1 in y
8.861 * [backup-simplify]: Simplify 1 into 1
8.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.863 * [backup-simplify]: Simplify (+ 0 0) into 0
8.863 * [taylor]: Taking taylor expansion of 0 in y
8.863 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.865 * [taylor]: Taking taylor expansion of y in y
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify 1 into 1
8.866 * [backup-simplify]: Simplify (* 1 1) into 1
8.866 * [backup-simplify]: Simplify (/ 1 1) into 1
8.866 * [backup-simplify]: Simplify 1 into 1
8.866 * [backup-simplify]: Simplify 1 into 1
8.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.869 * [backup-simplify]: Simplify (+ 0 0) into 0
8.869 * [taylor]: Taking taylor expansion of 0 in y
8.869 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.871 * [backup-simplify]: Simplify 0 into 0
8.871 * [backup-simplify]: Simplify 0 into 0
8.871 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.875 * [backup-simplify]: Simplify (+ 0 0) into 0
8.875 * [taylor]: Taking taylor expansion of 0 in y
8.875 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
8.878 * * * [progress]: simplifying candidates
8.880 * [simplify]: Simplifying:
  (- (+ (log y) (log y)) (log (+ (* x x) (* y y))))
  (- (log (* y y)) (log (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y 1)
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (/ (* y y) 1)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (log (* (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))) (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))))
  (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  (log 1)
  (log (exp (/ (* y y) (+ (* x x) (* y y)))))
  (log (exp (/ (* y y) (+ (* x x) (* y y)))))
  (log (exp (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))
  (log (exp (sqrt (/ (* y y) (+ (* x x) (* y y))))))
  (log (exp (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (log (exp (/ y (sqrt (+ (* x x) (* y y))))))
  (log (exp (/ y 1)))
  (log (exp 1))
  (log (exp (* y y)))
  (log (exp (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (log (exp (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (log (log (exp (/ (* y y) (+ (* x x) (* y y))))))
  (exp (log (exp (/ (* y y) (+ (* x x) (* y y))))))
  (* (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))))
  (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))
  (* (* (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))
  (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))
  (sqrt (log (exp (/ (* y y) (+ (* 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))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
8.882 * * [simplify]: iteration 0: 128 enodes
8.910 * * [simplify]: iteration 1: 377 enodes
9.359 * * [simplify]: iteration 2: 3088 enodes
10.742 * * [simplify]: iteration complete: 5001 enodes
10.743 * * [simplify]: Extracting #0: cost 60 inf + 0
10.744 * * [simplify]: Extracting #1: cost 493 inf + 45
10.760 * * [simplify]: Extracting #2: cost 1956 inf + 33671
10.815 * * [simplify]: Extracting #3: cost 561 inf + 261000
10.902 * * [simplify]: Extracting #4: cost 34 inf + 337942
11.013 * * [simplify]: Extracting #5: cost 2 inf + 344132
11.117 * * [simplify]: Extracting #6: cost 0 inf + 345077
11.218 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (* (- y) y)
  (- (+ (* x x) (* y y)))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  y
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (* (/ y (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (* y y)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  x
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (* (/ x (cbrt (+ (* x x) (* y y)))) (/ x (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (* x x)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (+ (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))))
  (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y))))))
  0
  (/ (* y y) (+ (* x x) (* y y)))
  (/ (* y y) (+ (* x x) (* y y)))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (sqrt (+ (* x x) (* y y))))
  y
  1
  (* y y)
  (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (exp (+ (* x x) (* 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)))
  (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (- x y) (+ y x))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
11.226 * * * [progress]: adding candidates to table
11.663 * [progress]: [Phase 3 of 3] Extracting.
11.663 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>)
11.663 * * * [regime-changes]: Trying 2 branch expressions: (y x)
11.663 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>)
11.689 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>)
11.728 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
11.729 * [simplify]: Simplifying:
  (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
11.729 * * [simplify]: iteration 0: 10 enodes
11.729 * * [simplify]: iteration 1: 11 enodes
11.730 * * [simplify]: iteration complete: 11 enodes
11.730 * * [simplify]: Extracting #0: cost 1 inf + 0
11.730 * * [simplify]: Extracting #1: cost 3 inf + 0
11.730 * * [simplify]: Extracting #2: cost 6 inf + 0
11.730 * * [simplify]: Extracting #3: cost 10 inf + 0
11.730 * * [simplify]: Extracting #4: cost 7 inf + 43
11.730 * * [simplify]: Extracting #5: cost 0 inf + 1296
11.730 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
13.159 * [regime-testing]: Baseline error score: 20.068225658337653
13.173 * [regime-testing]: Oracle error score: 19.891490151403346
13.191 * [regime-testing]: End program error score: 20.068225658337653
13.328 * [regime-testing]: Target error score: 0.07137001187954993