29.672 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.047 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.047 * * [simplify]: iteration 1: (9 enodes) 0.050 * * [simplify]: iteration 2: (22 enodes) 0.056 * * [simplify]: iteration 3: (46 enodes) 0.072 * * [simplify]: iteration 4: (95 enodes) 0.115 * * [simplify]: iteration 5: (177 enodes) 0.158 * * [simplify]: iteration 6: (339 enodes) 0.270 * * [simplify]: iteration 7: (573 enodes) 0.471 * * [simplify]: iteration 8: (1046 enodes) 2.895 * * [simplify]: Extracting #0: cost 1 inf + 0 2.896 * * [simplify]: Extracting #1: cost 76 inf + 0 2.897 * * [simplify]: Extracting #2: cost 285 inf + 1 2.899 * * [simplify]: Extracting #3: cost 458 inf + 2419 2.908 * * [simplify]: Extracting #4: cost 176 inf + 46844 2.933 * * [simplify]: Extracting #5: cost 14 inf + 89090 2.985 * * [simplify]: Extracting #6: cost 0 inf + 93639 3.015 * [simplify]: Simplified to: (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 3.021 * * [progress]: iteration 1 / 4 3.021 * * * [progress]: picking best candidate 3.026 * * * * [pick]: Picked # 3.027 * * * [progress]: localizing error 3.062 * * * [progress]: generating rewritten candidates 3.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.089 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.119 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.199 * * * [progress]: generating series expansions 3.199 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.199 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 3.199 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 3.199 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.200 * [taylor]: Taking taylor expansion of y in x 3.200 * [backup-simplify]: Simplify y into y 3.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.200 * [taylor]: Taking taylor expansion of y in x 3.200 * [backup-simplify]: Simplify y into y 3.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.200 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.200 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.200 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.201 * [taylor]: Taking taylor expansion of x in y 3.201 * [backup-simplify]: Simplify x into x 3.201 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.201 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.202 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.202 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.202 * [taylor]: Taking taylor expansion of x in y 3.202 * [backup-simplify]: Simplify x into x 3.202 * [backup-simplify]: Simplify (* 1 1) into 1 3.202 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.203 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.203 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.203 * [taylor]: Taking taylor expansion of x in x 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.208 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.209 * [taylor]: Taking taylor expansion of 0 in x 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.213 * [backup-simplify]: Simplify (+ 1 0) into 1 3.214 * [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))) 3.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.214 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.214 * [backup-simplify]: Simplify (* 1 1) into 1 3.215 * [backup-simplify]: Simplify (* 1 1) into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (- 0) into 0 3.226 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [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))))) 3.229 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 3.229 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.229 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.229 * [taylor]: Taking taylor expansion of y in x 3.229 * [backup-simplify]: Simplify y into y 3.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.229 * [taylor]: Taking taylor expansion of y in x 3.229 * [backup-simplify]: Simplify y into y 3.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (* 1 1) into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.231 * [backup-simplify]: Simplify (+ 0 1) into 1 3.231 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.232 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.232 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.233 * [taylor]: Taking taylor expansion of x in y 3.233 * [backup-simplify]: Simplify x into x 3.233 * [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 3.234 * [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 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.234 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.235 * [taylor]: Taking taylor expansion of y in y 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.235 * [taylor]: Taking taylor expansion of y in y 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.235 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.235 * [taylor]: Taking taylor expansion of x in y 3.235 * [backup-simplify]: Simplify x into x 3.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.236 * [backup-simplify]: Simplify (* 1 1) into 1 3.236 * [backup-simplify]: Simplify (+ 1 0) into 1 3.236 * [backup-simplify]: Simplify (* 1 1) into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.237 * [taylor]: Taking taylor expansion of 1 in x 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.239 * [taylor]: Taking taylor expansion of 0 in x 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [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 3.244 * [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 3.245 * [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 * [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))))) 3.247 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 3.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.247 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.247 * [taylor]: Taking taylor expansion of y in x 3.247 * [backup-simplify]: Simplify y into y 3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.247 * [taylor]: Taking taylor expansion of y in x 3.247 * [backup-simplify]: Simplify y into y 3.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.247 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.248 * [backup-simplify]: Simplify (+ 0 1) into 1 3.248 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.248 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.248 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (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 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.249 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.249 * [taylor]: Taking taylor expansion of x in y 3.249 * [backup-simplify]: Simplify x into x 3.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ 1 0) into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.250 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 3.251 * [backup-simplify]: Simplify (* 1 1) into 1 3.251 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.251 * [taylor]: Taking taylor expansion of x in y 3.251 * [backup-simplify]: Simplify x into x 3.251 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.251 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.251 * [backup-simplify]: Simplify (* 1 1) into 1 3.252 * [backup-simplify]: Simplify (+ 1 0) into 1 3.252 * [backup-simplify]: Simplify (* 1 1) into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [taylor]: Taking taylor expansion of 1 in x 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [taylor]: Taking taylor expansion of 0 in x 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 3.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.257 * [taylor]: Taking taylor expansion of x in x 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.258 * [backup-simplify]: Simplify (/ 1 1) into 1 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.262 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 3.262 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 3.262 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 3.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.262 * [taylor]: Taking taylor expansion of x in y 3.262 * [backup-simplify]: Simplify x into x 3.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.263 * [taylor]: Taking taylor expansion of y in y 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.263 * [taylor]: Taking taylor expansion of x in y 3.263 * [backup-simplify]: Simplify x into x 3.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.263 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.263 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.263 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.263 * [taylor]: Taking taylor expansion of y in x 3.263 * [backup-simplify]: Simplify y into y 3.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (* 1 1) into 1 3.263 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.263 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.263 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.264 * [taylor]: Taking taylor expansion of y in x 3.264 * [backup-simplify]: Simplify y into y 3.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.264 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.264 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.264 * [taylor]: Taking taylor expansion of y in y 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.272 * [backup-simplify]: Simplify (* 1 1) into 1 3.272 * [backup-simplify]: Simplify (+ 0 1) into 1 3.273 * [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))) 3.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.273 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.273 * [taylor]: Taking taylor expansion of y in y 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (- 0) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [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))))) 3.289 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 3.289 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.289 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.289 * [taylor]: Taking taylor expansion of x in y 3.290 * [backup-simplify]: Simplify x into x 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.290 * [taylor]: Taking taylor expansion of y in y 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.291 * [taylor]: Taking taylor expansion of x in y 3.291 * [backup-simplify]: Simplify x into x 3.291 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.291 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.292 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.292 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.292 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.292 * [taylor]: Taking taylor expansion of y in x 3.292 * [backup-simplify]: Simplify y into y 3.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (+ 0 1) into 1 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.294 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.295 * [taylor]: Taking taylor expansion of y in x 3.295 * [backup-simplify]: Simplify y into y 3.295 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (/ 1 1) into 1 3.296 * [backup-simplify]: Simplify (* 1 1) into 1 3.297 * [backup-simplify]: Simplify (+ 0 1) into 1 3.297 * [backup-simplify]: Simplify (* 1 1) into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [taylor]: Taking taylor expansion of 1 in y 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.302 * [taylor]: Taking taylor expansion of 0 in y 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.305 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 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 3.305 * [backup-simplify]: Simplify (* 1 1) into 1 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- 0) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.313 * [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))))) 3.313 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 3.313 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.313 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.313 * [taylor]: Taking taylor expansion of x in y 3.313 * [backup-simplify]: Simplify x into x 3.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.313 * [taylor]: Taking taylor expansion of y in y 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (* 1 1) into 1 3.313 * [backup-simplify]: Simplify (/ 1 1) into 1 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.313 * [taylor]: Taking taylor expansion of x in y 3.313 * [backup-simplify]: Simplify x into x 3.313 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.314 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.314 * [backup-simplify]: Simplify (+ 1 0) into 1 3.314 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.314 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.314 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.314 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.314 * [taylor]: Taking taylor expansion of y in x 3.314 * [backup-simplify]: Simplify y into y 3.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (+ 0 1) into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.316 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.316 * [taylor]: Taking taylor expansion of y in x 3.316 * [backup-simplify]: Simplify y into y 3.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (+ 0 1) into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [taylor]: Taking taylor expansion of 1 in y 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.320 * [taylor]: Taking taylor expansion of 0 in y 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.323 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.323 * [taylor]: Taking taylor expansion of y in y 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (* 1 1) into 1 3.323 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.328 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 3.328 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 3.328 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 3.328 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 3.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.328 * [taylor]: Taking taylor expansion of x in y 3.328 * [backup-simplify]: Simplify x into x 3.328 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.328 * [taylor]: Taking taylor expansion of y in y 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.328 * [taylor]: Taking taylor expansion of x in y 3.328 * [backup-simplify]: Simplify x into x 3.328 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.328 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.329 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.329 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.329 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.329 * [taylor]: Taking taylor expansion of x in y 3.329 * [backup-simplify]: Simplify x into x 3.329 * [backup-simplify]: Simplify (* 1 1) into 1 3.329 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.329 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.329 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.329 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 3.329 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.329 * [taylor]: Taking taylor expansion of y in x 3.329 * [backup-simplify]: Simplify y into y 3.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.330 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.330 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.330 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.330 * [taylor]: Taking taylor expansion of y in x 3.330 * [backup-simplify]: Simplify y into y 3.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.330 * [taylor]: Taking taylor expansion of y in x 3.330 * [backup-simplify]: Simplify y into y 3.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.330 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.330 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.330 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 3.330 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.330 * [taylor]: Taking taylor expansion of y in x 3.330 * [backup-simplify]: Simplify y into y 3.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.331 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.331 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.331 * [taylor]: Taking taylor expansion of y in x 3.331 * [backup-simplify]: Simplify y into y 3.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.331 * [taylor]: Taking taylor expansion of y in x 3.331 * [backup-simplify]: Simplify y into y 3.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.331 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.331 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.332 * [backup-simplify]: Simplify (- 1) into -1 3.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.332 * [taylor]: Taking taylor expansion of -1 in y 3.332 * [backup-simplify]: Simplify -1 into -1 3.332 * [backup-simplify]: Simplify -1 into -1 3.332 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.332 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 3.333 * [backup-simplify]: Simplify (- 0) 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 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.334 * [backup-simplify]: Simplify (+ 0 1) into 1 3.334 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 3.335 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 3.335 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 3.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.335 * [taylor]: Taking taylor expansion of 2 in y 3.335 * [backup-simplify]: Simplify 2 into 2 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.335 * [taylor]: Taking taylor expansion of y in y 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 3.343 * [backup-simplify]: Simplify (- 0) 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 3.343 * [backup-simplify]: Simplify -1 into -1 3.344 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 3.344 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 3.344 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.344 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.344 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.344 * [taylor]: Taking taylor expansion of x in y 3.344 * [backup-simplify]: Simplify x into x 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.344 * [taylor]: Taking taylor expansion of y in y 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.345 * [taylor]: Taking taylor expansion of x in y 3.345 * [backup-simplify]: Simplify x into x 3.345 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.345 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.346 * [backup-simplify]: Simplify (+ 1 0) into 1 3.346 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.346 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.346 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.346 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (* 1 1) into 1 3.347 * [backup-simplify]: Simplify (/ 1 1) into 1 3.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.347 * [taylor]: Taking taylor expansion of x in y 3.347 * [backup-simplify]: Simplify x into x 3.347 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.347 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.348 * [backup-simplify]: Simplify (* 1 1) into 1 3.348 * [backup-simplify]: Simplify (+ 1 0) into 1 3.349 * [backup-simplify]: Simplify (* 1 1) into 1 3.349 * [backup-simplify]: Simplify (/ 1 1) into 1 3.349 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.349 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.349 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.349 * [taylor]: Taking taylor expansion of x in x 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.349 * [taylor]: Taking taylor expansion of y in x 3.349 * [backup-simplify]: Simplify y into y 3.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (+ 0 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 y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.352 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.352 * [taylor]: Taking taylor expansion of y in x 3.352 * [backup-simplify]: Simplify y into y 3.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.352 * [taylor]: Taking taylor expansion of y in x 3.352 * [backup-simplify]: Simplify y into y 3.352 * [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 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.354 * [backup-simplify]: Simplify (+ 0 1) into 1 3.354 * [backup-simplify]: Simplify (* (pow y 2) 1) 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) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.354 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 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 3.354 * [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 3.355 * [taylor]: Taking taylor expansion of y in x 3.355 * [backup-simplify]: Simplify y into y 3.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ 0 1) into 1 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.357 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.357 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.357 * [taylor]: Taking taylor expansion of y in x 3.357 * [backup-simplify]: Simplify y into y 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.357 * [taylor]: Taking taylor expansion of y in x 3.358 * [backup-simplify]: Simplify y into y 3.358 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.358 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.359 * [backup-simplify]: Simplify (+ 0 1) into 1 3.359 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.359 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.360 * [taylor]: Taking taylor expansion of 1 in y 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in y 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.369 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.370 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 3.370 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.370 * [taylor]: Taking taylor expansion of 2 in y 3.370 * [backup-simplify]: Simplify 2 into 2 3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.370 * [taylor]: Taking taylor expansion of y in y 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.385 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [taylor]: Taking taylor expansion of 0 in y 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 3.386 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 3.386 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.386 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.386 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.386 * [taylor]: Taking taylor expansion of x in y 3.386 * [backup-simplify]: Simplify x into x 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.387 * [taylor]: Taking taylor expansion of y in y 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* 1 1) into 1 3.387 * [backup-simplify]: Simplify (/ 1 1) into 1 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.387 * [taylor]: Taking taylor expansion of x in y 3.388 * [backup-simplify]: Simplify x into x 3.388 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.388 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.388 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.388 * [backup-simplify]: Simplify (+ 1 0) into 1 3.388 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.388 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.388 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.388 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.388 * [taylor]: Taking taylor expansion of y in y 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.389 * [taylor]: Taking taylor expansion of y in y 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.389 * [taylor]: Taking taylor expansion of x in y 3.389 * [backup-simplify]: Simplify x into x 3.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (+ 1 0) into 1 3.391 * [backup-simplify]: Simplify (* 1 1) into 1 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.391 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.391 * [taylor]: Taking taylor expansion of y in x 3.391 * [backup-simplify]: Simplify y into y 3.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (* 1 1) into 1 3.393 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [backup-simplify]: Simplify (* 1 1) into 1 3.393 * [backup-simplify]: Simplify (+ 0 1) into 1 3.394 * [backup-simplify]: Simplify (* 1 1) into 1 3.394 * [backup-simplify]: Simplify (/ 1 1) into 1 3.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.394 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.394 * [taylor]: Taking taylor expansion of y in x 3.394 * [backup-simplify]: Simplify y into y 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.394 * [taylor]: Taking taylor expansion of y in x 3.394 * [backup-simplify]: Simplify y into y 3.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* 1 1) into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.396 * [backup-simplify]: Simplify (+ 0 1) into 1 3.396 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.396 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.396 * [taylor]: Taking taylor expansion of y in x 3.396 * [backup-simplify]: Simplify y into y 3.396 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (+ 0 1) into 1 3.399 * [backup-simplify]: Simplify (* 1 1) into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.399 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.399 * [taylor]: Taking taylor expansion of y in x 3.399 * [backup-simplify]: Simplify y into y 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.399 * [taylor]: Taking taylor expansion of y in x 3.399 * [backup-simplify]: Simplify y into y 3.399 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.399 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (* 1 1) into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.401 * [backup-simplify]: Simplify (+ 0 1) into 1 3.401 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.401 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.401 * [backup-simplify]: Simplify (+ 1 0) into 1 3.401 * [taylor]: Taking taylor expansion of 1 in y 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [taylor]: Taking taylor expansion of 0 in y 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.410 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.411 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 3.411 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.411 * [taylor]: Taking taylor expansion of 2 in y 3.411 * [backup-simplify]: Simplify 2 into 2 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.411 * [taylor]: Taking taylor expansion of y in y 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.412 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.416 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.425 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 3.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.426 * [backup-simplify]: Simplify (- 0) into 0 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [taylor]: Taking taylor expansion of 0 in y 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.427 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 3.427 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 3.427 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.427 * [taylor]: Taking taylor expansion of y in y 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.427 * [taylor]: Taking taylor expansion of x in y 3.427 * [backup-simplify]: Simplify x into x 3.427 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.427 * [taylor]: Taking taylor expansion of y in x 3.427 * [backup-simplify]: Simplify y into y 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.427 * [taylor]: Taking taylor expansion of y in x 3.427 * [backup-simplify]: Simplify y into y 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.427 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.427 * [taylor]: Taking taylor expansion of y in y 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [taylor]: Taking taylor expansion of 0 in y 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.429 * [backup-simplify]: Simplify (* 1 1) into 1 3.429 * [backup-simplify]: Simplify (+ 0 1) into 1 3.429 * [taylor]: Taking taylor expansion of 1 in y 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (* 1 1) into 1 3.430 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [taylor]: Taking taylor expansion of 0 in y 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [taylor]: Taking taylor expansion of 0 in y 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 3.436 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.436 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.436 * [taylor]: Taking taylor expansion of y in y 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.439 * [taylor]: Taking taylor expansion of x in y 3.439 * [backup-simplify]: Simplify x into x 3.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.439 * [taylor]: Taking taylor expansion of y in x 3.439 * [backup-simplify]: Simplify y into y 3.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.439 * [taylor]: Taking taylor expansion of x in x 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (* 1 1) into 1 3.440 * [backup-simplify]: Simplify (/ 1 1) into 1 3.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.440 * [taylor]: Taking taylor expansion of y in x 3.440 * [backup-simplify]: Simplify y into y 3.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.441 * [backup-simplify]: Simplify (/ 1 1) into 1 3.442 * [backup-simplify]: Simplify (+ 0 1) into 1 3.442 * [taylor]: Taking taylor expansion of 1 in y 3.442 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [taylor]: Taking taylor expansion of 0 in y 3.444 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.446 * [taylor]: Taking taylor expansion of y in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (* 1 1) into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [taylor]: Taking taylor expansion of 0 in y 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [taylor]: Taking taylor expansion of 0 in y 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.458 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.458 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.458 * [taylor]: Taking taylor expansion of y in y 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.459 * [backup-simplify]: Simplify (/ 1 1) into 1 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.459 * [taylor]: Taking taylor expansion of x in y 3.459 * [backup-simplify]: Simplify x into x 3.459 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.459 * [taylor]: Taking taylor expansion of y in x 3.459 * [backup-simplify]: Simplify y into y 3.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.459 * [taylor]: Taking taylor expansion of x in x 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (/ 1 1) into 1 3.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.460 * [taylor]: Taking taylor expansion of y in x 3.460 * [backup-simplify]: Simplify y into y 3.460 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.460 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.462 * [backup-simplify]: Simplify (+ 0 1) into 1 3.462 * [taylor]: Taking taylor expansion of 1 in y 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [taylor]: Taking taylor expansion of 0 in y 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.465 * [taylor]: Taking taylor expansion of y in y 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [taylor]: Taking taylor expansion of 0 in y 3.469 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [taylor]: Taking taylor expansion of 0 in y 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.476 * * * [progress]: simplifying candidates 3.476 * * * * [progress]: [ 1 / 91 ] simplifiying candidate # 3.476 * * * * [progress]: [ 2 / 91 ] simplifiying candidate # 3.476 * * * * [progress]: [ 3 / 91 ] simplifiying candidate # 3.476 * * * * [progress]: [ 4 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 5 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 6 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 7 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 8 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 9 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 10 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 11 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 12 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 13 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 14 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 15 / 91 ] simplifiying candidate # 3.477 * * * * [progress]: [ 16 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 17 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 18 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 19 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 20 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 21 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 22 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 23 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 24 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 25 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 26 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 27 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 28 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 29 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 30 / 91 ] simplifiying candidate # 3.478 * * * * [progress]: [ 31 / 91 ] simplifiying candidate # 3.479 * * * * [progress]: [ 32 / 91 ] simplifiying candidate # 3.479 * * * * [progress]: [ 33 / 91 ] simplifiying candidate # 3.479 * * * * [progress]: [ 34 / 91 ] simplifiying candidate # 3.479 * * * * [progress]: 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[progress]: [ 51 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 52 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 53 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 54 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 55 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 56 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 57 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 58 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 59 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 60 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 61 / 91 ] simplifiying candidate # 3.480 * * * * [progress]: [ 62 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 63 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 64 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 65 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 66 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 67 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 68 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 69 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 70 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 71 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 72 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 73 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 74 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 75 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 76 / 91 ] simplifiying candidate # 3.481 * * * * [progress]: [ 77 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 78 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 79 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 80 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 81 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 82 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 83 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 84 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 85 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 86 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 87 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 88 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 89 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 90 / 91 ] simplifiying candidate # 3.482 * * * * [progress]: [ 91 / 91 ] simplifiying candidate # 3.484 * [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) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (* x x) (* y y)) (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* y y) (+ (* x x) (* y y)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* 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 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 3.487 * * [simplify]: iteration 1: (128 enodes) 3.532 * * [simplify]: iteration 2: (372 enodes) 3.700 * * [simplify]: iteration 3: (1133 enodes) 4.486 * * [simplify]: Extracting #0: cost 78 inf + 0 4.488 * * [simplify]: Extracting #1: cost 446 inf + 46 4.502 * * [simplify]: Extracting #2: cost 732 inf + 28965 4.565 * * [simplify]: Extracting #3: cost 259 inf + 159472 4.649 * * [simplify]: Extracting #4: cost 16 inf + 233211 4.735 * * [simplify]: Extracting #5: cost 0 inf + 239602 4.817 * [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 y) (cbrt (+ (* x x) (* 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) (* x x)) (* (* y y) (* 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) (* x x)) (* (* y y) (* y y)))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (+ x y) (- x y)) (- (* (+ (* x x) (* y y)) (* x x)) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))) (/ (- (* y y)) (+ (* x x) (* y y))) (* (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (+ x y) (- x y)) (- (/ (* x x) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (/ (- (* 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) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) 0 0 0 0 0 0 -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.825 * * * [progress]: adding candidates to table 5.577 * * [progress]: iteration 2 / 4 5.577 * * * [progress]: picking best candidate 5.596 * * * * [pick]: Picked # 5.596 * * * [progress]: localizing error 5.641 * * * [progress]: generating rewritten candidates 5.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.654 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.668 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.701 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.822 * * * [progress]: generating series expansions 5.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.822 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 5.822 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 5.822 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 5.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.822 * [taylor]: Taking taylor expansion of y in x 5.822 * [backup-simplify]: Simplify y into y 5.822 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.822 * [taylor]: Taking taylor expansion of y in x 5.822 * [backup-simplify]: Simplify y into y 5.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.822 * [taylor]: Taking taylor expansion of x in x 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.822 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.823 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 5.823 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 5.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.823 * [taylor]: Taking taylor expansion of y in y 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.823 * [taylor]: Taking taylor expansion of y in y 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.823 * [taylor]: Taking taylor expansion of x in y 5.823 * [backup-simplify]: Simplify x into x 5.823 * [backup-simplify]: Simplify (* 1 1) into 1 5.823 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.823 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.823 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.823 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 5.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.823 * [taylor]: Taking taylor expansion of y in y 5.823 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.824 * [taylor]: Taking taylor expansion of y in y 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.824 * [taylor]: Taking taylor expansion of x in y 5.824 * [backup-simplify]: Simplify x into x 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.824 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.824 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.824 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.824 * [taylor]: Taking taylor expansion of x in x 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.825 * [backup-simplify]: Simplify (/ 1 1) into 1 5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.827 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.827 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.828 * [taylor]: Taking taylor expansion of 0 in x 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.830 * [backup-simplify]: Simplify (* 1 1) into 1 5.830 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.830 * [backup-simplify]: Simplify (+ 1 0) into 1 5.830 * [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))) 5.830 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 5.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.830 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.830 * [taylor]: Taking taylor expansion of x in x 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (- 0) into 0 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [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))))) 5.840 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 5.840 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.840 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.840 * [taylor]: Taking taylor expansion of y in x 5.840 * [backup-simplify]: Simplify y into y 5.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.840 * [taylor]: Taking taylor expansion of y in x 5.840 * [backup-simplify]: Simplify y into y 5.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.840 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.840 * [taylor]: Taking taylor expansion of x in x 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.841 * [backup-simplify]: Simplify (/ 1 1) into 1 5.841 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.841 * [backup-simplify]: Simplify (+ 0 1) into 1 5.841 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 5.841 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.841 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.841 * [taylor]: Taking taylor expansion of y in y 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.841 * [taylor]: Taking taylor expansion of y in y 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.841 * [backup-simplify]: Simplify (* 1 1) into 1 5.842 * [backup-simplify]: Simplify (/ 1 1) into 1 5.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.842 * [taylor]: Taking taylor expansion of x in y 5.842 * [backup-simplify]: Simplify x into x 5.842 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.842 * [backup-simplify]: Simplify (* 1 1) into 1 5.842 * [backup-simplify]: Simplify (+ 1 0) into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (/ 1 1) into 1 5.843 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.843 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.844 * [backup-simplify]: Simplify (/ 1 1) into 1 5.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.844 * [taylor]: Taking taylor expansion of x in y 5.844 * [backup-simplify]: Simplify x into x 5.844 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.844 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.844 * [backup-simplify]: Simplify (* 1 1) into 1 5.844 * [backup-simplify]: Simplify (+ 1 0) into 1 5.844 * [backup-simplify]: Simplify (* 1 1) into 1 5.845 * [backup-simplify]: Simplify (/ 1 1) into 1 5.845 * [taylor]: Taking taylor expansion of 1 in x 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.846 * [backup-simplify]: Simplify (+ 0 0) into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.847 * [taylor]: Taking taylor expansion of 0 in x 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 5.850 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 5.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.850 * [taylor]: Taking taylor expansion of x in x 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify (* 1 1) into 1 5.850 * [backup-simplify]: Simplify (/ 1 1) into 1 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.855 * [backup-simplify]: Simplify (- 0) into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [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))))) 5.855 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 5.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.855 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.855 * [taylor]: Taking taylor expansion of y in x 5.855 * [backup-simplify]: Simplify y into y 5.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.855 * [taylor]: Taking taylor expansion of y in x 5.855 * [backup-simplify]: Simplify y into y 5.855 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.856 * [taylor]: Taking taylor expansion of x in x 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (* 1 1) into 1 5.856 * [backup-simplify]: Simplify (/ 1 1) into 1 5.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.856 * [backup-simplify]: Simplify (+ 0 1) into 1 5.856 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 5.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.857 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.857 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.857 * [taylor]: Taking taylor expansion of y in y 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.857 * [taylor]: Taking taylor expansion of y in y 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (* 1 1) into 1 5.857 * [backup-simplify]: Simplify (/ 1 1) into 1 5.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.857 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.857 * [taylor]: Taking taylor expansion of x in y 5.857 * [backup-simplify]: Simplify x into x 5.857 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.857 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.858 * [backup-simplify]: Simplify (* 1 1) into 1 5.858 * [backup-simplify]: Simplify (+ 1 0) into 1 5.858 * [backup-simplify]: Simplify (* 1 1) into 1 5.858 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.858 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.858 * [taylor]: Taking taylor expansion of y in y 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.858 * [taylor]: Taking taylor expansion of y in y 5.858 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [backup-simplify]: Simplify (* 1 1) into 1 5.859 * [backup-simplify]: Simplify (/ 1 1) into 1 5.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.859 * [taylor]: Taking taylor expansion of x in y 5.859 * [backup-simplify]: Simplify x into x 5.859 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.859 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.860 * [backup-simplify]: Simplify (* 1 1) into 1 5.860 * [backup-simplify]: Simplify (+ 1 0) into 1 5.861 * [backup-simplify]: Simplify (* 1 1) into 1 5.861 * [backup-simplify]: Simplify (/ 1 1) into 1 5.861 * [taylor]: Taking taylor expansion of 1 in x 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.863 * [backup-simplify]: Simplify (+ 0 0) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.865 * [taylor]: Taking taylor expansion of 0 in x 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 5.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 5.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (/ 1 1) into 1 5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.880 * [backup-simplify]: Simplify (- 0) into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.880 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 5.880 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 5.880 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 5.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.880 * [taylor]: Taking taylor expansion of x in y 5.880 * [backup-simplify]: Simplify x into x 5.881 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.881 * [taylor]: Taking taylor expansion of y in y 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.881 * [taylor]: Taking taylor expansion of x in y 5.881 * [backup-simplify]: Simplify x into x 5.881 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.881 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.881 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.881 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 5.881 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 5.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.881 * [taylor]: Taking taylor expansion of x in x 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.881 * [taylor]: Taking taylor expansion of y in x 5.881 * [backup-simplify]: Simplify y into y 5.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.881 * [taylor]: Taking taylor expansion of x in x 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (* 1 1) into 1 5.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.882 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.882 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.882 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 5.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.882 * [taylor]: Taking taylor expansion of x in x 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.882 * [taylor]: Taking taylor expansion of y in x 5.882 * [backup-simplify]: Simplify y into y 5.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.882 * [taylor]: Taking taylor expansion of x in x 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.883 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.883 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.883 * [taylor]: Taking taylor expansion of y in y 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.888 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.888 * [taylor]: Taking taylor expansion of 0 in y 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.891 * [backup-simplify]: Simplify (* 1 1) into 1 5.891 * [backup-simplify]: Simplify (+ 0 1) into 1 5.891 * [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))) 5.891 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 5.891 * [taylor]: Taking taylor expansion of (pow y 4) in y 5.891 * [taylor]: Taking taylor expansion of y in y 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (- 0) into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [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))))) 5.900 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 5.900 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.901 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.901 * [taylor]: Taking taylor expansion of x in y 5.901 * [backup-simplify]: Simplify x into x 5.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.901 * [taylor]: Taking taylor expansion of y in y 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (* 1 1) into 1 5.901 * [backup-simplify]: Simplify (/ 1 1) into 1 5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.901 * [taylor]: Taking taylor expansion of x in y 5.901 * [backup-simplify]: Simplify x into x 5.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.901 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.902 * [backup-simplify]: Simplify (+ 1 0) into 1 5.902 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 5.902 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.902 * [taylor]: Taking taylor expansion of x in x 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.902 * [taylor]: Taking taylor expansion of y in x 5.902 * [backup-simplify]: Simplify y into y 5.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.902 * [taylor]: Taking taylor expansion of x in x 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (* 1 1) into 1 5.902 * [backup-simplify]: Simplify (/ 1 1) into 1 5.903 * [backup-simplify]: Simplify (* 1 1) into 1 5.903 * [backup-simplify]: Simplify (+ 0 1) into 1 5.903 * [backup-simplify]: Simplify (* 1 1) into 1 5.903 * [backup-simplify]: Simplify (/ 1 1) into 1 5.903 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.904 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.904 * [taylor]: Taking taylor expansion of x in x 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.904 * [taylor]: Taking taylor expansion of y in x 5.904 * [backup-simplify]: Simplify y into y 5.904 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.904 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.904 * [taylor]: Taking taylor expansion of x in x 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [backup-simplify]: Simplify (* 1 1) into 1 5.904 * [backup-simplify]: Simplify (/ 1 1) into 1 5.904 * [backup-simplify]: Simplify (* 1 1) into 1 5.905 * [backup-simplify]: Simplify (+ 0 1) into 1 5.905 * [backup-simplify]: Simplify (* 1 1) into 1 5.905 * [backup-simplify]: Simplify (/ 1 1) into 1 5.905 * [taylor]: Taking taylor expansion of 1 in y 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.909 * [taylor]: Taking taylor expansion of 0 in y 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.912 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 5.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.912 * [taylor]: Taking taylor expansion of y in y 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 1 into 1 5.912 * [backup-simplify]: Simplify (* 1 1) into 1 5.913 * [backup-simplify]: Simplify (/ 1 1) into 1 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (- 0) into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [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))))) 5.919 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 5.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.919 * [taylor]: Taking taylor expansion of x in y 5.919 * [backup-simplify]: Simplify x into x 5.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.919 * [taylor]: Taking taylor expansion of y in y 5.919 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (* 1 1) into 1 5.920 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.920 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.920 * [taylor]: Taking taylor expansion of x in y 5.920 * [backup-simplify]: Simplify x into x 5.920 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.921 * [backup-simplify]: Simplify (+ 1 0) into 1 5.921 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 5.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.921 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.921 * [taylor]: Taking taylor expansion of x in x 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.921 * [taylor]: Taking taylor expansion of y in x 5.921 * [backup-simplify]: Simplify y into y 5.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.922 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.922 * [taylor]: Taking taylor expansion of x in x 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (* 1 1) into 1 5.922 * [backup-simplify]: Simplify (/ 1 1) into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (+ 0 1) into 1 5.924 * [backup-simplify]: Simplify (* 1 1) into 1 5.924 * [backup-simplify]: Simplify (/ 1 1) into 1 5.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 1 into 1 5.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.924 * [taylor]: Taking taylor expansion of y in x 5.924 * [backup-simplify]: Simplify y into y 5.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 1 into 1 5.925 * [backup-simplify]: Simplify (* 1 1) into 1 5.925 * [backup-simplify]: Simplify (/ 1 1) into 1 5.926 * [backup-simplify]: Simplify (* 1 1) into 1 5.926 * [backup-simplify]: Simplify (+ 0 1) into 1 5.926 * [backup-simplify]: Simplify (* 1 1) into 1 5.927 * [backup-simplify]: Simplify (/ 1 1) into 1 5.927 * [taylor]: Taking taylor expansion of 1 in y 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (+ 0 0) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.931 * [taylor]: Taking taylor expansion of 0 in y 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.934 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 5.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 5.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.935 * [taylor]: Taking taylor expansion of y in y 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (/ 1 1) into 1 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (- 0) into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.945 * [backup-simplify]: Simplify (log (exp (/ (* y y) (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 5.945 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 5.945 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 5.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.945 * [taylor]: Taking taylor expansion of y in x 5.945 * [backup-simplify]: Simplify y into y 5.945 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.945 * [taylor]: Taking taylor expansion of y in x 5.945 * [backup-simplify]: Simplify y into y 5.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.945 * [taylor]: Taking taylor expansion of x in x 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.946 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.946 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 5.946 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 5.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.946 * [taylor]: Taking taylor expansion of y in y 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.946 * [taylor]: Taking taylor expansion of y in y 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.946 * [taylor]: Taking taylor expansion of x in y 5.946 * [backup-simplify]: Simplify x into x 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.947 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.947 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 5.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.947 * [taylor]: Taking taylor expansion of y in y 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.947 * [taylor]: Taking taylor expansion of y in y 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.947 * [taylor]: Taking taylor expansion of x in y 5.947 * [backup-simplify]: Simplify x into x 5.948 * [backup-simplify]: Simplify (* 1 1) into 1 5.948 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.948 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.948 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.948 * [taylor]: Taking taylor expansion of x in x 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (* 1 1) into 1 5.949 * [backup-simplify]: Simplify (/ 1 1) into 1 5.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.953 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.954 * [taylor]: Taking taylor expansion of 0 in x 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.957 * [backup-simplify]: Simplify (* 1 1) into 1 5.958 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.958 * [backup-simplify]: Simplify (+ 1 0) into 1 5.958 * [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))) 5.958 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 5.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.959 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.959 * [taylor]: Taking taylor expansion of x in x 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [backup-simplify]: Simplify (* 1 1) into 1 5.959 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [backup-simplify]: Simplify (/ 1 1) into 1 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (- 0) into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.975 * [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))))) 5.975 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 5.975 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 5.975 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.975 * [taylor]: Taking taylor expansion of y in x 5.975 * [backup-simplify]: Simplify y into y 5.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.975 * [taylor]: Taking taylor expansion of y in x 5.975 * [backup-simplify]: Simplify y into y 5.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.975 * [taylor]: Taking taylor expansion of x in x 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (* 1 1) into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.977 * [backup-simplify]: Simplify (+ 0 1) into 1 5.977 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 5.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.977 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.977 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.977 * [taylor]: Taking taylor expansion of y in y 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.977 * [taylor]: Taking taylor expansion of y in y 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (* 1 1) into 1 5.978 * [backup-simplify]: Simplify (/ 1 1) into 1 5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.978 * [taylor]: Taking taylor expansion of x in y 5.978 * [backup-simplify]: Simplify x into x 5.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (+ 1 0) into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.980 * [backup-simplify]: Simplify (/ 1 1) into 1 5.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 5.980 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.980 * [taylor]: Taking taylor expansion of y in y 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.980 * [taylor]: Taking taylor expansion of y in y 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (* 1 1) into 1 5.981 * [backup-simplify]: Simplify (/ 1 1) into 1 5.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.981 * [taylor]: Taking taylor expansion of x in y 5.981 * [backup-simplify]: Simplify x into x 5.981 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.982 * [backup-simplify]: Simplify (* 1 1) into 1 5.982 * [backup-simplify]: Simplify (+ 1 0) into 1 5.982 * [backup-simplify]: Simplify (* 1 1) into 1 5.983 * [backup-simplify]: Simplify (/ 1 1) into 1 5.983 * [taylor]: Taking taylor expansion of 1 in x 5.983 * [backup-simplify]: Simplify 1 into 1 5.983 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.987 * [taylor]: Taking taylor expansion of 0 in x 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.990 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 5.991 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 5.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.991 * [taylor]: Taking taylor expansion of x in x 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (* 1 1) into 1 5.992 * [backup-simplify]: Simplify (/ 1 1) into 1 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [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))))) 6.000 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.000 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.000 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.000 * [taylor]: Taking taylor expansion of y in x 6.001 * [backup-simplify]: Simplify y into y 6.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.001 * [taylor]: Taking taylor expansion of y in x 6.001 * [backup-simplify]: Simplify y into y 6.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.001 * [taylor]: Taking taylor expansion of x in x 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (* 1 1) into 1 6.002 * [backup-simplify]: Simplify (/ 1 1) into 1 6.002 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.002 * [backup-simplify]: Simplify (+ 0 1) into 1 6.002 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.002 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.002 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.002 * [taylor]: Taking taylor expansion of y in y 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.003 * [taylor]: Taking taylor expansion of y in y 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [backup-simplify]: Simplify (* 1 1) into 1 6.004 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.004 * [taylor]: Taking taylor expansion of x in y 6.004 * [backup-simplify]: Simplify x into x 6.004 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.004 * [backup-simplify]: Simplify (* 1 1) into 1 6.005 * [backup-simplify]: Simplify (+ 1 0) into 1 6.005 * [backup-simplify]: Simplify (* 1 1) into 1 6.006 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.006 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.006 * [taylor]: Taking taylor expansion of y in y 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.006 * [taylor]: Taking taylor expansion of y in y 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (* 1 1) into 1 6.007 * [backup-simplify]: Simplify (/ 1 1) into 1 6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.007 * [taylor]: Taking taylor expansion of x in y 6.007 * [backup-simplify]: Simplify x into x 6.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.007 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.007 * [backup-simplify]: Simplify (* 1 1) into 1 6.008 * [backup-simplify]: Simplify (+ 1 0) into 1 6.008 * [backup-simplify]: Simplify (* 1 1) into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [taylor]: Taking taylor expansion of 1 in x 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.012 * [taylor]: Taking taylor expansion of 0 in x 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.017 * [taylor]: Taking taylor expansion of x in x 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify (* 1 1) into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (- 0) into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.026 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 6.026 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 6.026 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 6.026 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.026 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.026 * [taylor]: Taking taylor expansion of x in y 6.026 * [backup-simplify]: Simplify x into x 6.026 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.026 * [taylor]: Taking taylor expansion of y in y 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.026 * [taylor]: Taking taylor expansion of x in y 6.026 * [backup-simplify]: Simplify x into x 6.026 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.026 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.027 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.027 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.027 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.027 * [taylor]: Taking taylor expansion of y in y 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.027 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.027 * [taylor]: Taking taylor expansion of y in y 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.027 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.027 * [taylor]: Taking taylor expansion of x in y 6.027 * [backup-simplify]: Simplify x into x 6.027 * [backup-simplify]: Simplify (* 1 1) into 1 6.027 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.028 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.028 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.028 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 6.028 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.028 * [taylor]: Taking taylor expansion of y in x 6.028 * [backup-simplify]: Simplify y into y 6.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (* 1 1) into 1 6.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.028 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.029 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.029 * [taylor]: Taking taylor expansion of y in x 6.029 * [backup-simplify]: Simplify y into y 6.029 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.029 * [taylor]: Taking taylor expansion of y in x 6.029 * [backup-simplify]: Simplify y into y 6.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.029 * [taylor]: Taking taylor expansion of x in x 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.029 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.029 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.029 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 6.029 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.029 * [taylor]: Taking taylor expansion of x in x 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.029 * [taylor]: Taking taylor expansion of y in x 6.029 * [backup-simplify]: Simplify y into y 6.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.029 * [taylor]: Taking taylor expansion of x in x 6.029 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (* 1 1) into 1 6.030 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.030 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.030 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.030 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.030 * [taylor]: Taking taylor expansion of y in x 6.030 * [backup-simplify]: Simplify y into y 6.030 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.030 * [taylor]: Taking taylor expansion of y in x 6.030 * [backup-simplify]: Simplify y into y 6.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.030 * [taylor]: Taking taylor expansion of x in x 6.030 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.031 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.031 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.031 * [backup-simplify]: Simplify (- 1) into -1 6.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.032 * [taylor]: Taking taylor expansion of -1 in y 6.032 * [backup-simplify]: Simplify -1 into -1 6.032 * [backup-simplify]: Simplify -1 into -1 6.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 6.033 * [backup-simplify]: Simplify (- 0) into 0 6.033 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [taylor]: Taking taylor expansion of 0 in y 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.035 * [backup-simplify]: Simplify (* 1 1) into 1 6.035 * [backup-simplify]: Simplify (+ 0 1) into 1 6.036 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 6.036 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 6.036 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.036 * [taylor]: Taking taylor expansion of 2 in y 6.036 * [backup-simplify]: Simplify 2 into 2 6.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.036 * [taylor]: Taking taylor expansion of y in y 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.037 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.043 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 6.047 * [backup-simplify]: Simplify (- 0) into 0 6.050 * [backup-simplify]: Simplify (+ 0 0) into 0 6.050 * [taylor]: Taking taylor expansion of 0 in y 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify -1 into -1 6.051 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (log (exp (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 6.051 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 6.051 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 6.051 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.051 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.051 * [taylor]: Taking taylor expansion of x in y 6.051 * [backup-simplify]: Simplify x into x 6.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.051 * [taylor]: Taking taylor expansion of y in y 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.052 * [backup-simplify]: Simplify (* 1 1) into 1 6.052 * [backup-simplify]: Simplify (/ 1 1) into 1 6.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.052 * [taylor]: Taking taylor expansion of x in y 6.052 * [backup-simplify]: Simplify x into x 6.052 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.053 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.053 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.053 * [backup-simplify]: Simplify (+ 1 0) into 1 6.053 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.053 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.053 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.053 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.053 * [taylor]: Taking taylor expansion of y in y 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.054 * [taylor]: Taking taylor expansion of y in y 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (/ 1 1) into 1 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.055 * [taylor]: Taking taylor expansion of x in y 6.055 * [backup-simplify]: Simplify x into x 6.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.055 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (+ 1 0) into 1 6.056 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.056 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.056 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.057 * [taylor]: Taking taylor expansion of x in x 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.057 * [taylor]: Taking taylor expansion of y in x 6.057 * [backup-simplify]: Simplify y into y 6.057 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.057 * [taylor]: Taking taylor expansion of x in x 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (* 1 1) into 1 6.058 * [backup-simplify]: Simplify (/ 1 1) into 1 6.058 * [backup-simplify]: Simplify (* 1 1) into 1 6.059 * [backup-simplify]: Simplify (+ 0 1) into 1 6.059 * [backup-simplify]: Simplify (* 1 1) into 1 6.059 * [backup-simplify]: Simplify (/ 1 1) into 1 6.059 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.059 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.059 * [taylor]: Taking taylor expansion of y in x 6.059 * [backup-simplify]: Simplify y into y 6.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.060 * [taylor]: Taking taylor expansion of y in x 6.060 * [backup-simplify]: Simplify y into y 6.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.060 * [taylor]: Taking taylor expansion of x in x 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.061 * [backup-simplify]: Simplify (+ 0 1) into 1 6.061 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.061 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.061 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.061 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.062 * [taylor]: Taking taylor expansion of x in x 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.062 * [taylor]: Taking taylor expansion of y in x 6.062 * [backup-simplify]: Simplify y into y 6.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.062 * [taylor]: Taking taylor expansion of x in x 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [backup-simplify]: Simplify (* 1 1) into 1 6.064 * [backup-simplify]: Simplify (+ 0 1) into 1 6.064 * [backup-simplify]: Simplify (* 1 1) into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.064 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.064 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.064 * [taylor]: Taking taylor expansion of y in x 6.065 * [backup-simplify]: Simplify y into y 6.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.065 * [taylor]: Taking taylor expansion of y in x 6.065 * [backup-simplify]: Simplify y into y 6.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.065 * [taylor]: Taking taylor expansion of x in x 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (* 1 1) into 1 6.066 * [backup-simplify]: Simplify (/ 1 1) into 1 6.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.066 * [backup-simplify]: Simplify (+ 0 1) into 1 6.066 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.067 * [backup-simplify]: Simplify (+ 1 0) into 1 6.067 * [taylor]: Taking taylor expansion of 1 in y 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.072 * [taylor]: Taking taylor expansion of 0 in y 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.076 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.076 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.077 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.077 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.077 * [taylor]: Taking taylor expansion of 2 in y 6.077 * [backup-simplify]: Simplify 2 into 2 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.077 * [taylor]: Taking taylor expansion of y in y 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.083 * [backup-simplify]: Simplify (- 0) into 0 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify (+ 0 0) into 0 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.090 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.090 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in y 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.091 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (log (exp (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 6.091 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 6.091 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 6.091 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.091 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.091 * [taylor]: Taking taylor expansion of x in y 6.091 * [backup-simplify]: Simplify x into x 6.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.091 * [taylor]: Taking taylor expansion of y in y 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 1 into 1 6.091 * [backup-simplify]: Simplify (* 1 1) into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.092 * [taylor]: Taking taylor expansion of x in y 6.092 * [backup-simplify]: Simplify x into x 6.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.092 * [backup-simplify]: Simplify (+ 1 0) into 1 6.092 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.092 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.092 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.092 * [taylor]: Taking taylor expansion of y in y 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.092 * [taylor]: Taking taylor expansion of y in y 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (* 1 1) into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.093 * [taylor]: Taking taylor expansion of x in y 6.093 * [backup-simplify]: Simplify x into x 6.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.093 * [backup-simplify]: Simplify (* 1 1) into 1 6.093 * [backup-simplify]: Simplify (+ 1 0) into 1 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.094 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.094 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.094 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.094 * [taylor]: Taking taylor expansion of x in x 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.094 * [taylor]: Taking taylor expansion of y in x 6.094 * [backup-simplify]: Simplify y into y 6.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.094 * [taylor]: Taking taylor expansion of x in x 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (+ 0 1) into 1 6.096 * [backup-simplify]: Simplify (* 1 1) into 1 6.096 * [backup-simplify]: Simplify (/ 1 1) into 1 6.096 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.096 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify (* 1 1) into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.097 * [backup-simplify]: Simplify (+ 0 1) into 1 6.097 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.097 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.097 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.097 * [taylor]: Taking taylor expansion of y in x 6.097 * [backup-simplify]: Simplify y into y 6.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify 1 into 1 6.098 * [backup-simplify]: Simplify (* 1 1) into 1 6.098 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (* 1 1) into 1 6.099 * [backup-simplify]: Simplify (+ 0 1) into 1 6.099 * [backup-simplify]: Simplify (* 1 1) into 1 6.099 * [backup-simplify]: Simplify (/ 1 1) into 1 6.099 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.099 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.099 * [taylor]: Taking taylor expansion of y in x 6.099 * [backup-simplify]: Simplify y into y 6.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.099 * [taylor]: Taking taylor expansion of y in x 6.099 * [backup-simplify]: Simplify y into y 6.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.099 * [taylor]: Taking taylor expansion of x in x 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (* 1 1) into 1 6.100 * [backup-simplify]: Simplify (/ 1 1) into 1 6.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.100 * [backup-simplify]: Simplify (+ 0 1) into 1 6.100 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.101 * [backup-simplify]: Simplify (+ 1 0) into 1 6.101 * [taylor]: Taking taylor expansion of 1 in y 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [taylor]: Taking taylor expansion of 0 in y 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.106 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.107 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.107 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.107 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.107 * [taylor]: Taking taylor expansion of 2 in y 6.107 * [backup-simplify]: Simplify 2 into 2 6.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.107 * [taylor]: Taking taylor expansion of y in y 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.107 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (/ 1 1) into 1 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.115 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.116 * [backup-simplify]: Simplify (- 0) into 0 6.116 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [taylor]: Taking taylor expansion of 0 in y 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * * * [progress]: simplifying candidates 6.116 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 6.116 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 14 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 28 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 6.117 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 6.118 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 6.119 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 77 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 6.120 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 86 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 6.121 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 6.123 * [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) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (* (* (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (log (exp (/ (* y y) (+ (* x x) (* y y))))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (* (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))) (- (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (+ (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (* (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))) (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (/ (* x x) (+ (* x x) (* y y))) (log 1)) (- (log (exp (/ (* y y) (+ (* x x) (* y y)))))) 0 0 0 0 0 0 0 0 0 -1 1 1 6.127 * * [simplify]: iteration 1: (143 enodes) 6.188 * * [simplify]: iteration 2: (335 enodes) 6.328 * * [simplify]: iteration 3: (972 enodes) 7.271 * * [simplify]: Extracting #0: cost 66 inf + 0 7.273 * * [simplify]: Extracting #1: cost 347 inf + 46 7.283 * * [simplify]: Extracting #2: cost 674 inf + 1542 7.294 * * [simplify]: Extracting #3: cost 592 inf + 43029 7.333 * * [simplify]: Extracting #4: cost 236 inf + 145163 7.417 * * [simplify]: Extracting #5: cost 5 inf + 221491 7.479 * * [simplify]: Extracting #6: cost 0 inf + 223976 7.545 * [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 x) (* (cbrt (+ (* x x) (* y y))) (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) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* y y) (+ (* x x) (* y y)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (- (/ (* x x) (+ (* x x) (* y y))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))) (- (/ (* x x) (+ (* x x) (* y y))) (log (sqrt (exp (/ (* 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 -1 1 1 7.559 * * * [progress]: adding candidates to table 8.443 * * [progress]: iteration 3 / 4 8.443 * * * [progress]: picking best candidate 8.457 * * * * [pick]: Picked # 8.458 * * * [progress]: localizing error 8.522 * * * [progress]: generating rewritten candidates 8.522 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 8.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 8.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 8.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 8.603 * * * [progress]: generating series expansions 8.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 8.604 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.604 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.604 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.604 * [taylor]: Taking taylor expansion of y in x 8.604 * [backup-simplify]: Simplify y into y 8.604 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.604 * [taylor]: Taking taylor expansion of y in x 8.604 * [backup-simplify]: Simplify y into y 8.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.604 * [taylor]: Taking taylor expansion of x in x 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.604 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.605 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.605 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.605 * [taylor]: Taking taylor expansion of y in y 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.605 * [taylor]: Taking taylor expansion of y in y 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.605 * [taylor]: Taking taylor expansion of x in y 8.605 * [backup-simplify]: Simplify x into x 8.606 * [backup-simplify]: Simplify (* 1 1) into 1 8.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.606 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.606 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.606 * [taylor]: Taking taylor expansion of y in y 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.606 * [taylor]: Taking taylor expansion of y in y 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.606 * [taylor]: Taking taylor expansion of x in y 8.606 * [backup-simplify]: Simplify x into x 8.607 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.607 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.607 * [taylor]: Taking taylor expansion of x in x 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (* 1 1) into 1 8.608 * [backup-simplify]: Simplify (/ 1 1) into 1 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.612 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.613 * [taylor]: Taking taylor expansion of 0 in x 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.615 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.617 * [backup-simplify]: Simplify (* 1 1) into 1 8.618 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.618 * [backup-simplify]: Simplify (+ 1 0) into 1 8.619 * [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))) 8.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.619 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.619 * [taylor]: Taking taylor expansion of x in x 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (/ 1 1) into 1 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (- 0) into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [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))))) 8.636 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.636 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.636 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.636 * [taylor]: Taking taylor expansion of y in x 8.636 * [backup-simplify]: Simplify y into y 8.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.636 * [taylor]: Taking taylor expansion of y in x 8.636 * [backup-simplify]: Simplify y into y 8.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.637 * [taylor]: Taking taylor expansion of x in x 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (* 1 1) into 1 8.637 * [backup-simplify]: Simplify (/ 1 1) into 1 8.637 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.638 * [backup-simplify]: Simplify (+ 0 1) into 1 8.638 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.638 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.638 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.638 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.638 * [taylor]: Taking taylor expansion of y in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.638 * [taylor]: Taking taylor expansion of y in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.639 * [taylor]: Taking taylor expansion of x in y 8.639 * [backup-simplify]: Simplify x into x 8.639 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.640 * [backup-simplify]: Simplify (* 1 1) into 1 8.640 * [backup-simplify]: Simplify (+ 1 0) into 1 8.641 * [backup-simplify]: Simplify (* 1 1) into 1 8.641 * [backup-simplify]: Simplify (/ 1 1) into 1 8.641 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.641 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.641 * [taylor]: Taking taylor expansion of y in y 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 1 into 1 8.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.641 * [taylor]: Taking taylor expansion of y in y 8.641 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (* 1 1) into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.642 * [taylor]: Taking taylor expansion of x in y 8.642 * [backup-simplify]: Simplify x into x 8.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.643 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.643 * [backup-simplify]: Simplify (* 1 1) into 1 8.643 * [backup-simplify]: Simplify (+ 1 0) 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 in x 8.644 * [backup-simplify]: Simplify 1 into 1 8.644 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [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 8.651 * [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)) 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.653 * [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 8.654 * [backup-simplify]: Simplify (* 1 1) into 1 8.654 * [backup-simplify]: Simplify (/ 1 1) into 1 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.662 * [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 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [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))))) 8.663 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.663 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.663 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 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 * [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 8.664 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.664 * [taylor]: Taking taylor expansion of x in x 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (* 1 1) into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.665 * [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 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.666 * [taylor]: Taking taylor expansion of y in y 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (* 1 1) into 1 8.667 * [backup-simplify]: Simplify (/ 1 1) into 1 8.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.667 * [taylor]: Taking taylor expansion of x in y 8.667 * [backup-simplify]: Simplify x into x 8.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.667 * [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 8.668 * [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 8.668 * [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) 8.669 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.670 * [backup-simplify]: Simplify (* 1 1) into 1 8.670 * [backup-simplify]: Simplify (/ 1 1) into 1 8.670 * [taylor]: Taking taylor expansion of 1 in x 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.673 * [taylor]: Taking taylor expansion of 0 in x 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.676 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.676 * [taylor]: Taking taylor expansion of x in x 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [backup-simplify]: Simplify (* 1 1) into 1 8.677 * [backup-simplify]: Simplify (/ 1 1) into 1 8.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (- 0) into 0 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 8.682 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.682 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.682 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.682 * [taylor]: Taking taylor expansion of y in x 8.682 * [backup-simplify]: Simplify y into y 8.682 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.682 * [taylor]: Taking taylor expansion of y in x 8.682 * [backup-simplify]: Simplify y into y 8.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.682 * [taylor]: Taking taylor expansion of x in x 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.682 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.682 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.682 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.682 * [taylor]: Taking taylor expansion of y in y 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.682 * [taylor]: Taking taylor expansion of y in y 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.682 * [taylor]: Taking taylor expansion of x in y 8.682 * [backup-simplify]: Simplify x into x 8.683 * [backup-simplify]: Simplify (* 1 1) into 1 8.683 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.683 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.683 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.683 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.683 * [taylor]: Taking taylor expansion of y in y 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.683 * [taylor]: Taking taylor expansion of y in y 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.683 * [taylor]: Taking taylor expansion of x in y 8.683 * [backup-simplify]: Simplify x into x 8.683 * [backup-simplify]: Simplify (* 1 1) into 1 8.683 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.683 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.683 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.683 * [taylor]: Taking taylor expansion of x in x 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (* 1 1) into 1 8.684 * [backup-simplify]: Simplify (/ 1 1) into 1 8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.686 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.687 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.687 * [taylor]: Taking taylor expansion of 0 in x 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.689 * [backup-simplify]: Simplify (* 1 1) into 1 8.689 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.690 * [backup-simplify]: Simplify (+ 1 0) into 1 8.690 * [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))) 8.690 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.690 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.690 * [taylor]: Taking taylor expansion of x in x 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (* 1 1) into 1 8.690 * [backup-simplify]: Simplify (* 1 1) into 1 8.691 * [backup-simplify]: Simplify (/ 1 1) into 1 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (- 0) into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 0 into 0 8.706 * [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))))) 8.706 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.706 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.706 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.706 * [taylor]: Taking taylor expansion of y in x 8.706 * [backup-simplify]: Simplify y into y 8.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.706 * [taylor]: Taking taylor expansion of y in x 8.706 * [backup-simplify]: Simplify y into y 8.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.706 * [taylor]: Taking taylor expansion of x in x 8.706 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* 1 1) into 1 8.707 * [backup-simplify]: Simplify (/ 1 1) into 1 8.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.708 * [backup-simplify]: Simplify (+ 0 1) into 1 8.708 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.708 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.708 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.708 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.708 * [taylor]: Taking taylor expansion of y in y 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.708 * [taylor]: Taking taylor expansion of y in y 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.709 * [backup-simplify]: Simplify (* 1 1) into 1 8.709 * [backup-simplify]: Simplify (/ 1 1) into 1 8.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.709 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.709 * [taylor]: Taking taylor expansion of x in y 8.709 * [backup-simplify]: Simplify x into x 8.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.709 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.710 * [backup-simplify]: Simplify (* 1 1) into 1 8.710 * [backup-simplify]: Simplify (+ 1 0) into 1 8.711 * [backup-simplify]: Simplify (* 1 1) into 1 8.711 * [backup-simplify]: Simplify (/ 1 1) into 1 8.711 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.711 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.711 * [taylor]: Taking taylor expansion of y in y 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.711 * [taylor]: Taking taylor expansion of y in y 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (* 1 1) into 1 8.712 * [backup-simplify]: Simplify (/ 1 1) into 1 8.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.712 * [taylor]: Taking taylor expansion of x in y 8.712 * [backup-simplify]: Simplify x into x 8.712 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.712 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.713 * [backup-simplify]: Simplify (* 1 1) into 1 8.713 * [backup-simplify]: Simplify (+ 1 0) 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 in x 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.716 * [backup-simplify]: Simplify (+ 0 0) into 0 8.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.718 * [taylor]: Taking taylor expansion of 0 in x 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.723 * [taylor]: Taking taylor expansion of x in x 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [backup-simplify]: Simplify (* 1 1) into 1 8.724 * [backup-simplify]: Simplify (/ 1 1) into 1 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.729 * [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 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [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))))) 8.732 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.732 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.732 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.732 * [taylor]: Taking taylor expansion of y in x 8.732 * [backup-simplify]: Simplify y into y 8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.732 * [taylor]: Taking taylor expansion of y in x 8.732 * [backup-simplify]: Simplify y into y 8.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.733 * [taylor]: Taking taylor expansion of (/ 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 * [backup-simplify]: Simplify (* 1 1) into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.733 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.734 * [backup-simplify]: Simplify (+ 0 1) into 1 8.734 * [backup-simplify]: Simplify (* (pow y 2) 1) 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 y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.734 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.734 * [taylor]: Taking taylor expansion of y in y 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.734 * [taylor]: Taking taylor expansion of y in y 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 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)) in y 8.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.735 * [taylor]: Taking taylor expansion of x in y 8.735 * [backup-simplify]: Simplify x into x 8.736 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.736 * [backup-simplify]: Simplify (* 1 1) into 1 8.736 * [backup-simplify]: Simplify (+ 1 0) 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 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.737 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.737 * [taylor]: Taking taylor expansion of y in y 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.737 * [taylor]: Taking taylor expansion of y in y 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.738 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.738 * [taylor]: Taking taylor expansion of x in y 8.738 * [backup-simplify]: Simplify x into x 8.738 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.739 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (+ 1 0) into 1 8.740 * [backup-simplify]: Simplify (* 1 1) into 1 8.740 * [backup-simplify]: Simplify (/ 1 1) into 1 8.740 * [taylor]: Taking taylor expansion of 1 in x 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (+ 0 0) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.744 * [taylor]: Taking taylor expansion of 0 in x 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.748 * [taylor]: Taking taylor expansion of x in x 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (* 1 1) into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (- 0) into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 8.758 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.758 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.758 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.758 * [taylor]: Taking taylor expansion of y in x 8.758 * [backup-simplify]: Simplify y into y 8.758 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.759 * [taylor]: Taking taylor expansion of y in x 8.759 * [backup-simplify]: Simplify y into y 8.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.759 * [taylor]: Taking taylor expansion of x in x 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.759 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.759 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.759 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.759 * [taylor]: Taking taylor expansion of y in y 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.759 * [taylor]: Taking taylor expansion of y in y 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.759 * [taylor]: Taking taylor expansion of x in y 8.759 * [backup-simplify]: Simplify x into x 8.760 * [backup-simplify]: Simplify (* 1 1) into 1 8.760 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.760 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.760 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.760 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.760 * [taylor]: Taking taylor expansion of y in y 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.760 * [taylor]: Taking taylor expansion of y in y 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.760 * [taylor]: Taking taylor expansion of x in y 8.760 * [backup-simplify]: Simplify x into x 8.761 * [backup-simplify]: Simplify (* 1 1) into 1 8.761 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.761 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.761 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.761 * [taylor]: Taking taylor expansion of x in x 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.761 * [backup-simplify]: Simplify (* 1 1) into 1 8.762 * [backup-simplify]: Simplify (/ 1 1) into 1 8.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.766 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.766 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.767 * [taylor]: Taking taylor expansion of 0 in x 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.770 * [backup-simplify]: Simplify (* 1 1) into 1 8.771 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.771 * [backup-simplify]: Simplify (+ 1 0) into 1 8.771 * [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))) 8.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.772 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.772 * [taylor]: Taking taylor expansion of x in x 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (* 1 1) into 1 8.772 * [backup-simplify]: Simplify (* 1 1) into 1 8.773 * [backup-simplify]: Simplify (/ 1 1) into 1 8.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.784 * [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 0 into 0 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [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))))) 8.788 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.788 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.788 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.788 * [taylor]: Taking taylor expansion of y in x 8.788 * [backup-simplify]: Simplify y into y 8.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.788 * [taylor]: Taking taylor expansion of y in x 8.788 * [backup-simplify]: Simplify y into y 8.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.789 * [taylor]: Taking taylor expansion of x in x 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (* 1 1) into 1 8.790 * [backup-simplify]: Simplify (/ 1 1) into 1 8.790 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.790 * [backup-simplify]: Simplify (+ 0 1) into 1 8.790 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.790 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.790 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.790 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.791 * [taylor]: Taking taylor expansion of y in y 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.791 * [taylor]: Taking taylor expansion of y in y 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (* 1 1) into 1 8.792 * [backup-simplify]: Simplify (/ 1 1) into 1 8.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.792 * [taylor]: Taking taylor expansion of x in y 8.792 * [backup-simplify]: Simplify x into x 8.792 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.792 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.792 * [backup-simplify]: Simplify (* 1 1) into 1 8.793 * [backup-simplify]: Simplify (+ 1 0) into 1 8.793 * [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 y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.793 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.794 * [taylor]: Taking taylor expansion of y in y 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.794 * [taylor]: Taking taylor expansion of y in y 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [backup-simplify]: Simplify (* 1 1) into 1 8.794 * [backup-simplify]: Simplify (/ 1 1) into 1 8.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.795 * [taylor]: Taking taylor expansion of x in y 8.795 * [backup-simplify]: Simplify x into x 8.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.795 * [backup-simplify]: Simplify (* 1 1) into 1 8.796 * [backup-simplify]: Simplify (+ 1 0) into 1 8.796 * [backup-simplify]: Simplify (* 1 1) into 1 8.796 * [backup-simplify]: Simplify (/ 1 1) into 1 8.796 * [taylor]: Taking taylor expansion of 1 in x 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.800 * [taylor]: Taking taylor expansion of 0 in x 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.804 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.805 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.805 * [taylor]: Taking taylor expansion of x in x 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.806 * [backup-simplify]: Simplify (* 1 1) into 1 8.806 * [backup-simplify]: Simplify (/ 1 1) into 1 8.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [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 (/ (* (/ 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 8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 * [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 8.821 * [taylor]: Taking taylor expansion of x in y 8.821 * [backup-simplify]: Simplify x into x 8.821 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.822 * [backup-simplify]: Simplify (* 1 1) into 1 8.822 * [backup-simplify]: Simplify (+ 1 0) into 1 8.822 * [backup-simplify]: Simplify (* 1 1) into 1 8.823 * [backup-simplify]: Simplify (/ 1 1) into 1 8.823 * [taylor]: Taking taylor expansion of 1 in x 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.825 * [backup-simplify]: Simplify (+ 0 0) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.827 * [taylor]: Taking taylor expansion of 0 in x 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [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)) 8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.833 * [taylor]: Taking taylor expansion of x in x 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 1 into 1 8.833 * [backup-simplify]: Simplify (* 1 1) into 1 8.834 * [backup-simplify]: Simplify (/ 1 1) into 1 8.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (- 0) into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 8.844 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 8.844 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 8.844 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 8.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.844 * [taylor]: Taking taylor expansion of x in y 8.845 * [backup-simplify]: Simplify x into x 8.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.845 * [taylor]: Taking taylor expansion of y in y 8.845 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify 1 into 1 8.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.845 * [taylor]: Taking taylor expansion of x in y 8.845 * [backup-simplify]: Simplify x into x 8.845 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.845 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.845 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.845 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.845 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.845 * [taylor]: Taking taylor expansion of y in x 8.845 * [backup-simplify]: Simplify y into y 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 8.846 * [backup-simplify]: Simplify (* 1 1) into 1 8.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.846 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.846 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 8.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.846 * [taylor]: Taking taylor expansion of x in x 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 1 into 1 8.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.846 * [taylor]: Taking taylor expansion of y in x 8.846 * [backup-simplify]: Simplify y into y 8.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.846 * [taylor]: Taking taylor expansion of x in x 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 1 into 1 8.847 * [backup-simplify]: Simplify (* 1 1) into 1 8.847 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.847 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.847 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.847 * [taylor]: Taking taylor expansion of y in y 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (* 1 1) into 1 8.848 * [backup-simplify]: Simplify (/ 1 1) into 1 8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify 0 into 0 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.852 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.853 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.853 * [taylor]: Taking taylor expansion of 0 in y 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.857 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.857 * [backup-simplify]: Simplify (* 1 1) into 1 8.857 * [backup-simplify]: Simplify (+ 0 1) into 1 8.858 * [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))) 8.858 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.858 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.858 * [taylor]: Taking taylor expansion of y in y 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (* 1 1) into 1 8.859 * [backup-simplify]: Simplify (* 1 1) into 1 8.859 * [backup-simplify]: Simplify (/ 1 1) into 1 8.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 0 into 0 8.874 * [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))))) 8.874 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 8.874 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.874 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.874 * [taylor]: Taking taylor expansion of x in y 8.874 * [backup-simplify]: Simplify x into x 8.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.874 * [taylor]: Taking taylor expansion of y in y 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [backup-simplify]: Simplify (* 1 1) into 1 8.875 * [backup-simplify]: Simplify (/ 1 1) into 1 8.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.875 * [taylor]: Taking taylor expansion of x in y 8.875 * [backup-simplify]: Simplify x into x 8.875 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.875 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.875 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.876 * [backup-simplify]: Simplify (+ 1 0) into 1 8.876 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 8.876 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.876 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.876 * [taylor]: Taking taylor expansion of x in x 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify 1 into 1 8.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.876 * [taylor]: Taking taylor expansion of y in x 8.876 * [backup-simplify]: Simplify y into y 8.876 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.876 * [taylor]: Taking taylor expansion of x in x 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (* 1 1) into 1 8.877 * [backup-simplify]: Simplify (/ 1 1) into 1 8.877 * [backup-simplify]: Simplify (* 1 1) into 1 8.878 * [backup-simplify]: Simplify (+ 0 1) into 1 8.878 * [backup-simplify]: Simplify (* 1 1) into 1 8.879 * [backup-simplify]: Simplify (/ 1 1) into 1 8.879 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.879 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.879 * [taylor]: Taking taylor expansion of x in x 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.879 * [taylor]: Taking taylor expansion of y in x 8.879 * [backup-simplify]: Simplify y into y 8.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.880 * [taylor]: Taking taylor expansion of x in x 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.880 * [backup-simplify]: Simplify (* 1 1) into 1 8.880 * [backup-simplify]: Simplify (/ 1 1) into 1 8.881 * [backup-simplify]: Simplify (* 1 1) into 1 8.881 * [backup-simplify]: Simplify (+ 0 1) into 1 8.882 * [backup-simplify]: Simplify (* 1 1) into 1 8.882 * [backup-simplify]: Simplify (/ 1 1) into 1 8.882 * [taylor]: Taking taylor expansion of 1 in y 8.882 * [backup-simplify]: Simplify 1 into 1 8.882 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ 0 0) into 0 8.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.886 * [taylor]: Taking taylor expansion of 0 in y 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.890 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 8.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 8.891 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.891 * [taylor]: Taking taylor expansion of y in y 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (* 1 1) into 1 8.892 * [backup-simplify]: Simplify (/ 1 1) into 1 8.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- 0) into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.902 * [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))))) 8.902 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 8.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.902 * [taylor]: Taking taylor expansion of x in y 8.902 * [backup-simplify]: Simplify x into x 8.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.902 * [taylor]: Taking taylor expansion of y in y 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.903 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (/ 1 1) into 1 8.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.903 * [taylor]: Taking taylor expansion of x in y 8.903 * [backup-simplify]: Simplify x into x 8.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.903 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.904 * [backup-simplify]: Simplify (+ 1 0) into 1 8.904 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 8.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.904 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.904 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.904 * [taylor]: Taking taylor expansion of x in x 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.904 * [taylor]: Taking taylor expansion of y in x 8.904 * [backup-simplify]: Simplify y into y 8.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.905 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.905 * [taylor]: Taking taylor expansion of x in x 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (* 1 1) into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.906 * [backup-simplify]: Simplify (* 1 1) into 1 8.906 * [backup-simplify]: Simplify (+ 0 1) into 1 8.907 * [backup-simplify]: Simplify (* 1 1) into 1 8.907 * [backup-simplify]: Simplify (/ 1 1) into 1 8.907 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.907 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.907 * [taylor]: Taking taylor expansion of x in x 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 1 into 1 8.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.908 * [taylor]: Taking taylor expansion of y in x 8.908 * [backup-simplify]: Simplify y into y 8.908 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.908 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.908 * [taylor]: Taking taylor expansion of x in x 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (* 1 1) into 1 8.909 * [backup-simplify]: Simplify (/ 1 1) into 1 8.909 * [backup-simplify]: Simplify (* 1 1) into 1 8.909 * [backup-simplify]: Simplify (+ 0 1) into 1 8.910 * [backup-simplify]: Simplify (* 1 1) into 1 8.910 * [backup-simplify]: Simplify (/ 1 1) into 1 8.910 * [taylor]: Taking taylor expansion of 1 in y 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ 0 0) into 0 8.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.915 * [taylor]: Taking taylor expansion of 0 in y 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.918 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 8.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 8.919 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.919 * [taylor]: Taking taylor expansion of y in y 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.920 * [backup-simplify]: Simplify (* 1 1) into 1 8.920 * [backup-simplify]: Simplify (/ 1 1) into 1 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * * * [progress]: simplifying candidates 8.929 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 8.929 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 8.930 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 8.930 * * * * [progress]: [ 13 / 104 ] 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[progress]: [ 29 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 8.931 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 8.932 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 8.933 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 8.934 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 8.935 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 92 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 8.936 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 8.937 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 8.937 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 8.939 * [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 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 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)))) 0 0 0 0 0 0 0 0 0 0 0 0 8.941 * * [simplify]: iteration 1: (84 enodes) 8.968 * * [simplify]: iteration 2: (230 enodes) 9.056 * * [simplify]: iteration 3: (754 enodes) 9.645 * * [simplify]: Extracting #0: cost 41 inf + 0 9.646 * * [simplify]: Extracting #1: cost 255 inf + 44 9.650 * * [simplify]: Extracting #2: cost 460 inf + 1608 9.664 * * [simplify]: Extracting #3: cost 390 inf + 36442 9.710 * * [simplify]: Extracting #4: cost 168 inf + 103115 9.774 * * [simplify]: Extracting #5: cost 8 inf + 149823 9.837 * * [simplify]: Extracting #6: cost 0 inf + 153468 9.870 * [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 y) (* (cbrt (+ (* x x) (* 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 (/ (* 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 y) (* (cbrt (+ (* x x) (* 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 (/ (* 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 y) (* (cbrt (+ (* x x) (* 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 x) (cbrt (+ (* x x) (* y y)))) (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)))) 0 0 0 0 0 0 0 0 0 0 0 0 9.885 * * * [progress]: adding candidates to table 10.814 * * [progress]: iteration 4 / 4 10.814 * * * [progress]: picking best candidate 10.829 * * * * [pick]: Picked # 10.829 * * * [progress]: localizing error 10.860 * * * [progress]: generating rewritten candidates 10.860 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 10.889 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 10.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.942 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 10.975 * * * [progress]: generating series expansions 10.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 10.976 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 10.976 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 10.976 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 10.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.976 * [taylor]: Taking taylor expansion of y in x 10.976 * [backup-simplify]: Simplify y into y 10.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 10.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.976 * [taylor]: Taking taylor expansion of y in x 10.976 * [backup-simplify]: Simplify y into y 10.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.976 * [taylor]: Taking taylor expansion of x in x 10.976 * [backup-simplify]: Simplify 0 into 0 10.976 * [backup-simplify]: Simplify 1 into 1 10.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.976 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 10.976 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 10.976 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 10.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.976 * [taylor]: Taking taylor expansion of y in y 10.976 * [backup-simplify]: Simplify 0 into 0 10.976 * [backup-simplify]: Simplify 1 into 1 10.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 10.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.977 * [taylor]: Taking taylor expansion of y in y 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.977 * [taylor]: Taking taylor expansion of x in y 10.977 * [backup-simplify]: Simplify x into x 10.977 * [backup-simplify]: Simplify (* 1 1) into 1 10.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.978 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 10.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.978 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 10.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.978 * [taylor]: Taking taylor expansion of y in y 10.978 * [backup-simplify]: Simplify 0 into 0 10.978 * [backup-simplify]: Simplify 1 into 1 10.978 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 10.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.978 * [taylor]: Taking taylor expansion of y in y 10.978 * [backup-simplify]: Simplify 0 into 0 10.978 * [backup-simplify]: Simplify 1 into 1 10.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.978 * [taylor]: Taking taylor expansion of x in y 10.978 * [backup-simplify]: Simplify x into x 10.978 * [backup-simplify]: Simplify (* 1 1) into 1 10.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.979 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 10.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.979 * [taylor]: Taking taylor expansion of x in x 10.979 * [backup-simplify]: Simplify 0 into 0 10.979 * [backup-simplify]: Simplify 1 into 1 10.979 * [backup-simplify]: Simplify (* 1 1) into 1 10.980 * [backup-simplify]: Simplify (/ 1 1) into 1 10.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.985 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.985 * [backup-simplify]: Simplify (+ 0 0) into 0 10.985 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 10.985 * [taylor]: Taking taylor expansion of 0 in x 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 0 into 0 10.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.989 * [backup-simplify]: Simplify (* 1 1) into 1 10.989 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 10.990 * [backup-simplify]: Simplify (+ 1 0) into 1 10.990 * [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))) 10.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 10.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 10.990 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.990 * [taylor]: Taking taylor expansion of x in x 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify (* 1 1) into 1 10.991 * [backup-simplify]: Simplify (* 1 1) into 1 10.992 * [backup-simplify]: Simplify (/ 1 1) into 1 10.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.003 * [backup-simplify]: Simplify (- 0) into 0 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 0 into 0 11.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.006 * [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))))) 11.006 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.006 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.006 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.006 * [taylor]: Taking taylor expansion of y in x 11.006 * [backup-simplify]: Simplify y into y 11.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.006 * [taylor]: Taking taylor expansion of y in x 11.006 * [backup-simplify]: Simplify y into y 11.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.006 * [taylor]: Taking taylor expansion of x in x 11.006 * [backup-simplify]: Simplify 0 into 0 11.006 * [backup-simplify]: Simplify 1 into 1 11.007 * [backup-simplify]: Simplify (* 1 1) into 1 11.007 * [backup-simplify]: Simplify (/ 1 1) into 1 11.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.007 * [backup-simplify]: Simplify (+ 0 1) into 1 11.008 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.008 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.008 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.008 * [taylor]: Taking taylor expansion of y in y 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.008 * [taylor]: Taking taylor expansion of y in y 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.008 * [backup-simplify]: Simplify (* 1 1) into 1 11.009 * [backup-simplify]: Simplify (/ 1 1) into 1 11.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.009 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.009 * [taylor]: Taking taylor expansion of x in y 11.009 * [backup-simplify]: Simplify x into x 11.009 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.010 * [backup-simplify]: Simplify (* 1 1) into 1 11.010 * [backup-simplify]: Simplify (+ 1 0) into 1 11.010 * [backup-simplify]: Simplify (* 1 1) into 1 11.011 * [backup-simplify]: Simplify (/ 1 1) into 1 11.011 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.011 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.011 * [taylor]: Taking taylor expansion of y in y 11.011 * [backup-simplify]: Simplify 0 into 0 11.011 * [backup-simplify]: Simplify 1 into 1 11.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.011 * [taylor]: Taking taylor expansion of y in y 11.011 * [backup-simplify]: Simplify 0 into 0 11.011 * [backup-simplify]: Simplify 1 into 1 11.011 * [backup-simplify]: Simplify (* 1 1) into 1 11.012 * [backup-simplify]: Simplify (/ 1 1) into 1 11.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.012 * [taylor]: Taking taylor expansion of x in y 11.012 * [backup-simplify]: Simplify x into x 11.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.012 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.013 * [backup-simplify]: Simplify (* 1 1) into 1 11.013 * [backup-simplify]: Simplify (+ 1 0) into 1 11.014 * [backup-simplify]: Simplify (* 1 1) into 1 11.014 * [backup-simplify]: Simplify (/ 1 1) into 1 11.014 * [taylor]: Taking taylor expansion of 1 in x 11.014 * [backup-simplify]: Simplify 1 into 1 11.014 * [backup-simplify]: Simplify 0 into 0 11.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.020 * [backup-simplify]: Simplify (+ 0 0) into 0 11.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.022 * [taylor]: Taking taylor expansion of 0 in x 11.022 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 0 into 0 11.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.024 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.025 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.026 * [taylor]: Taking taylor expansion of x in x 11.026 * [backup-simplify]: Simplify 0 into 0 11.026 * [backup-simplify]: Simplify 1 into 1 11.027 * [backup-simplify]: Simplify (* 1 1) into 1 11.027 * [backup-simplify]: Simplify (/ 1 1) into 1 11.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.034 * [backup-simplify]: Simplify (- 0) into 0 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [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))))) 11.035 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.035 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.035 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.035 * [taylor]: Taking taylor expansion of y in x 11.035 * [backup-simplify]: Simplify y into y 11.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.035 * [taylor]: Taking taylor expansion of y in x 11.035 * [backup-simplify]: Simplify y into y 11.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.036 * [taylor]: Taking taylor expansion of x in x 11.036 * [backup-simplify]: Simplify 0 into 0 11.036 * [backup-simplify]: Simplify 1 into 1 11.036 * [backup-simplify]: Simplify (* 1 1) into 1 11.036 * [backup-simplify]: Simplify (/ 1 1) into 1 11.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.037 * [backup-simplify]: Simplify (+ 0 1) into 1 11.037 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.037 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.037 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.037 * [taylor]: Taking taylor expansion of y in y 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.037 * [taylor]: Taking taylor expansion of y in y 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.038 * [backup-simplify]: Simplify (* 1 1) into 1 11.038 * [backup-simplify]: Simplify (/ 1 1) into 1 11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.038 * [taylor]: Taking taylor expansion of x in y 11.038 * [backup-simplify]: Simplify x into x 11.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.039 * [backup-simplify]: Simplify (* 1 1) into 1 11.039 * [backup-simplify]: Simplify (+ 1 0) into 1 11.040 * [backup-simplify]: Simplify (* 1 1) into 1 11.040 * [backup-simplify]: Simplify (/ 1 1) into 1 11.040 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.040 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.040 * [taylor]: Taking taylor expansion of y in y 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify 1 into 1 11.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.040 * [taylor]: Taking taylor expansion of y in y 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify 1 into 1 11.041 * [backup-simplify]: Simplify (* 1 1) into 1 11.041 * [backup-simplify]: Simplify (/ 1 1) into 1 11.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.041 * [taylor]: Taking taylor expansion of x in y 11.041 * [backup-simplify]: Simplify x into x 11.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.042 * [backup-simplify]: Simplify (* 1 1) into 1 11.042 * [backup-simplify]: Simplify (+ 1 0) into 1 11.042 * [backup-simplify]: Simplify (* 1 1) into 1 11.043 * [backup-simplify]: Simplify (/ 1 1) into 1 11.043 * [taylor]: Taking taylor expansion of 1 in x 11.043 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.045 * [backup-simplify]: Simplify (+ 0 0) into 0 11.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.047 * [taylor]: Taking taylor expansion of 0 in x 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.050 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.051 * [taylor]: Taking taylor expansion of x in x 11.051 * [backup-simplify]: Simplify 0 into 0 11.051 * [backup-simplify]: Simplify 1 into 1 11.051 * [backup-simplify]: Simplify (* 1 1) into 1 11.052 * [backup-simplify]: Simplify (/ 1 1) into 1 11.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.060 * [backup-simplify]: Simplify (- 0) into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 11.061 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 11.061 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 11.061 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 11.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.061 * [taylor]: Taking taylor expansion of y in x 11.061 * [backup-simplify]: Simplify y into y 11.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 11.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.061 * [taylor]: Taking taylor expansion of y in x 11.061 * [backup-simplify]: Simplify y into y 11.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.061 * [taylor]: Taking taylor expansion of x in x 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.061 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 11.061 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 11.061 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 11.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.061 * [taylor]: Taking taylor expansion of y in y 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 11.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.061 * [taylor]: Taking taylor expansion of y in y 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.061 * [taylor]: Taking taylor expansion of x in y 11.061 * [backup-simplify]: Simplify x into x 11.062 * [backup-simplify]: Simplify (* 1 1) into 1 11.062 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.062 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 11.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.062 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 11.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.062 * [taylor]: Taking taylor expansion of y in y 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 11.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.062 * [taylor]: Taking taylor expansion of y in y 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.062 * [taylor]: Taking taylor expansion of x in y 11.062 * [backup-simplify]: Simplify x into x 11.063 * [backup-simplify]: Simplify (* 1 1) into 1 11.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.063 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 11.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.063 * [taylor]: Taking taylor expansion of x in x 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.064 * [backup-simplify]: Simplify (* 1 1) into 1 11.064 * [backup-simplify]: Simplify (/ 1 1) into 1 11.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.068 * [backup-simplify]: Simplify (+ 0 0) into 0 11.069 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 11.069 * [taylor]: Taking taylor expansion of 0 in x 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify 0 into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.072 * [backup-simplify]: Simplify (* 1 1) into 1 11.073 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 11.073 * [backup-simplify]: Simplify (+ 1 0) into 1 11.074 * [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))) 11.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 11.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.074 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.074 * [taylor]: Taking taylor expansion of x in x 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify 1 into 1 11.074 * [backup-simplify]: Simplify (* 1 1) into 1 11.075 * [backup-simplify]: Simplify (* 1 1) into 1 11.075 * [backup-simplify]: Simplify (/ 1 1) into 1 11.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (- 0) into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.089 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [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))))) 11.090 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.090 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.090 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.090 * [taylor]: Taking taylor expansion of y in x 11.090 * [backup-simplify]: Simplify y into y 11.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.090 * [taylor]: Taking taylor expansion of y in x 11.090 * [backup-simplify]: Simplify y into y 11.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.090 * [taylor]: Taking taylor expansion of x in x 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.091 * [backup-simplify]: Simplify (* 1 1) into 1 11.091 * [backup-simplify]: Simplify (/ 1 1) into 1 11.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.092 * [backup-simplify]: Simplify (+ 0 1) into 1 11.092 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.092 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.092 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.092 * [taylor]: Taking taylor expansion of y in y 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.092 * [taylor]: Taking taylor expansion of y in y 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.093 * [backup-simplify]: Simplify (* 1 1) into 1 11.093 * [backup-simplify]: Simplify (/ 1 1) into 1 11.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.093 * [taylor]: Taking taylor expansion of x in y 11.093 * [backup-simplify]: Simplify x into x 11.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.094 * [backup-simplify]: Simplify (* 1 1) into 1 11.094 * [backup-simplify]: Simplify (+ 1 0) into 1 11.094 * [backup-simplify]: Simplify (* 1 1) into 1 11.095 * [backup-simplify]: Simplify (/ 1 1) into 1 11.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.095 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.095 * [taylor]: Taking taylor expansion of y in y 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify 1 into 1 11.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.095 * [taylor]: Taking taylor expansion of y in y 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify 1 into 1 11.095 * [backup-simplify]: Simplify (* 1 1) into 1 11.096 * [backup-simplify]: Simplify (/ 1 1) into 1 11.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.096 * [taylor]: Taking taylor expansion of x in y 11.096 * [backup-simplify]: Simplify x into x 11.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.097 * [backup-simplify]: Simplify (* 1 1) into 1 11.097 * [backup-simplify]: Simplify (+ 1 0) into 1 11.097 * [backup-simplify]: Simplify (* 1 1) into 1 11.098 * [backup-simplify]: Simplify (/ 1 1) into 1 11.098 * [taylor]: Taking taylor expansion of 1 in x 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.100 * [backup-simplify]: Simplify (+ 0 0) into 0 11.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.102 * [taylor]: Taking taylor expansion of 0 in x 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.106 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.107 * [taylor]: Taking taylor expansion of x in x 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [backup-simplify]: Simplify (* 1 1) into 1 11.107 * [backup-simplify]: Simplify (/ 1 1) into 1 11.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.115 * [backup-simplify]: Simplify (- 0) into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.116 * [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))))) 11.116 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.116 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.116 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.116 * [taylor]: Taking taylor expansion of y in x 11.116 * [backup-simplify]: Simplify y into y 11.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.116 * [taylor]: Taking taylor expansion of y in x 11.116 * [backup-simplify]: Simplify y into y 11.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.116 * [taylor]: Taking taylor expansion of x in x 11.116 * [backup-simplify]: Simplify 0 into 0 11.116 * [backup-simplify]: Simplify 1 into 1 11.117 * [backup-simplify]: Simplify (* 1 1) into 1 11.117 * [backup-simplify]: Simplify (/ 1 1) into 1 11.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.118 * [backup-simplify]: Simplify (+ 0 1) into 1 11.118 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.118 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.118 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.118 * [taylor]: Taking taylor expansion of y in y 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify 1 into 1 11.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.118 * [taylor]: Taking taylor expansion of y in y 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify 1 into 1 11.118 * [backup-simplify]: Simplify (* 1 1) into 1 11.119 * [backup-simplify]: Simplify (/ 1 1) into 1 11.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.119 * [taylor]: Taking taylor expansion of x in y 11.119 * [backup-simplify]: Simplify x into x 11.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.119 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.120 * [backup-simplify]: Simplify (* 1 1) into 1 11.120 * [backup-simplify]: Simplify (+ 1 0) into 1 11.121 * [backup-simplify]: Simplify (* 1 1) into 1 11.121 * [backup-simplify]: Simplify (/ 1 1) into 1 11.121 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.121 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.121 * [taylor]: Taking taylor expansion of y in y 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 1 into 1 11.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.121 * [taylor]: Taking taylor expansion of y in y 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 1 into 1 11.122 * [backup-simplify]: Simplify (* 1 1) into 1 11.122 * [backup-simplify]: Simplify (/ 1 1) into 1 11.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.122 * [taylor]: Taking taylor expansion of x in y 11.122 * [backup-simplify]: Simplify x into x 11.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.123 * [backup-simplify]: Simplify (* 1 1) into 1 11.123 * [backup-simplify]: Simplify (+ 1 0) into 1 11.124 * [backup-simplify]: Simplify (* 1 1) into 1 11.124 * [backup-simplify]: Simplify (/ 1 1) into 1 11.124 * [taylor]: Taking taylor expansion of 1 in x 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.128 * [taylor]: Taking taylor expansion of 0 in x 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 0 into 0 11.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.133 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.133 * [taylor]: Taking taylor expansion of x in x 11.134 * [backup-simplify]: Simplify 0 into 0 11.134 * [backup-simplify]: Simplify 1 into 1 11.134 * [backup-simplify]: Simplify (* 1 1) into 1 11.134 * [backup-simplify]: Simplify (/ 1 1) into 1 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.142 * [backup-simplify]: Simplify (- 0) into 0 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.143 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 11.143 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 11.143 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 11.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.143 * [taylor]: Taking taylor expansion of x in y 11.143 * [backup-simplify]: Simplify x into x 11.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 11.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.143 * [taylor]: Taking taylor expansion of y in y 11.143 * [backup-simplify]: Simplify 0 into 0 11.143 * [backup-simplify]: Simplify 1 into 1 11.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.143 * [taylor]: Taking taylor expansion of x in y 11.143 * [backup-simplify]: Simplify x into x 11.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.143 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 11.143 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 11.143 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 11.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.143 * [taylor]: Taking taylor expansion of x in x 11.143 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 1 into 1 11.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 11.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.144 * [taylor]: Taking taylor expansion of y in x 11.144 * [backup-simplify]: Simplify y into y 11.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.144 * [taylor]: Taking taylor expansion of x in x 11.144 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 1 into 1 11.144 * [backup-simplify]: Simplify (* 1 1) into 1 11.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.144 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 11.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.144 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 11.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.144 * [taylor]: Taking taylor expansion of x in x 11.144 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 1 into 1 11.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 11.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.145 * [taylor]: Taking taylor expansion of y in x 11.145 * [backup-simplify]: Simplify y into y 11.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.145 * [taylor]: Taking taylor expansion of x in x 11.145 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify 1 into 1 11.145 * [backup-simplify]: Simplify (* 1 1) into 1 11.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.145 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 11.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.145 * [taylor]: Taking taylor expansion of y in y 11.145 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify 1 into 1 11.146 * [backup-simplify]: Simplify (* 1 1) into 1 11.146 * [backup-simplify]: Simplify (/ 1 1) into 1 11.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.149 * [backup-simplify]: Simplify (+ 0 0) into 0 11.149 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.149 * [taylor]: Taking taylor expansion of 0 in y 11.149 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify 0 into 0 11.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.150 * [backup-simplify]: Simplify 0 into 0 11.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.152 * [backup-simplify]: Simplify (* 1 1) into 1 11.152 * [backup-simplify]: Simplify (+ 0 1) into 1 11.152 * [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))) 11.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 11.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.152 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.152 * [taylor]: Taking taylor expansion of y in y 11.152 * [backup-simplify]: Simplify 0 into 0 11.152 * [backup-simplify]: Simplify 1 into 1 11.152 * [backup-simplify]: Simplify (* 1 1) into 1 11.153 * [backup-simplify]: Simplify (* 1 1) into 1 11.153 * [backup-simplify]: Simplify (/ 1 1) into 1 11.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (- 0) into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [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))))) 11.165 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 11.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.165 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.165 * [taylor]: Taking taylor expansion of x in y 11.165 * [backup-simplify]: Simplify x into x 11.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.165 * [taylor]: Taking taylor expansion of y in y 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify 1 into 1 11.165 * [backup-simplify]: Simplify (* 1 1) into 1 11.166 * [backup-simplify]: Simplify (/ 1 1) into 1 11.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.166 * [taylor]: Taking taylor expansion of x in y 11.166 * [backup-simplify]: Simplify x into x 11.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.166 * [backup-simplify]: Simplify (+ 1 0) into 1 11.166 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 11.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.166 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.166 * [taylor]: Taking taylor expansion of x in x 11.166 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.166 * [taylor]: Taking taylor expansion of y in x 11.166 * [backup-simplify]: Simplify y into y 11.166 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.167 * [taylor]: Taking taylor expansion of x in x 11.167 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify 1 into 1 11.167 * [backup-simplify]: Simplify (* 1 1) into 1 11.167 * [backup-simplify]: Simplify (/ 1 1) into 1 11.168 * [backup-simplify]: Simplify (* 1 1) into 1 11.168 * [backup-simplify]: Simplify (+ 0 1) into 1 11.168 * [backup-simplify]: Simplify (* 1 1) into 1 11.169 * [backup-simplify]: Simplify (/ 1 1) into 1 11.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.169 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.169 * [taylor]: Taking taylor expansion of x in x 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.169 * [taylor]: Taking taylor expansion of y in x 11.169 * [backup-simplify]: Simplify y into y 11.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.169 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.169 * [taylor]: Taking taylor expansion of x in x 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.170 * [backup-simplify]: Simplify (* 1 1) into 1 11.170 * [backup-simplify]: Simplify (/ 1 1) into 1 11.171 * [backup-simplify]: Simplify (* 1 1) into 1 11.171 * [backup-simplify]: Simplify (+ 0 1) into 1 11.172 * [backup-simplify]: Simplify (* 1 1) into 1 11.172 * [backup-simplify]: Simplify (/ 1 1) into 1 11.172 * [taylor]: Taking taylor expansion of 1 in y 11.172 * [backup-simplify]: Simplify 1 into 1 11.172 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.174 * [backup-simplify]: Simplify (+ 0 0) into 0 11.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.176 * [taylor]: Taking taylor expansion of 0 in y 11.176 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify 0 into 0 11.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.178 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 11.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.180 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 11.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 11.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 11.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.181 * [taylor]: Taking taylor expansion of y in y 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 1 into 1 11.181 * [backup-simplify]: Simplify (* 1 1) into 1 11.182 * [backup-simplify]: Simplify (/ 1 1) into 1 11.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.189 * [backup-simplify]: Simplify (- 0) into 0 11.189 * [backup-simplify]: Simplify 0 into 0 11.189 * [backup-simplify]: Simplify 0 into 0 11.189 * [backup-simplify]: Simplify 0 into 0 11.189 * [backup-simplify]: Simplify 0 into 0 11.190 * [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))))) 11.190 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 11.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.190 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.190 * [taylor]: Taking taylor expansion of x in y 11.190 * [backup-simplify]: Simplify x into x 11.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.190 * [taylor]: Taking taylor expansion of y in y 11.190 * [backup-simplify]: Simplify 0 into 0 11.190 * [backup-simplify]: Simplify 1 into 1 11.190 * [backup-simplify]: Simplify (* 1 1) into 1 11.191 * [backup-simplify]: Simplify (/ 1 1) into 1 11.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.191 * [taylor]: Taking taylor expansion of x in y 11.191 * [backup-simplify]: Simplify x into x 11.191 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.191 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.191 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.192 * [backup-simplify]: Simplify (+ 1 0) into 1 11.192 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 11.192 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.192 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.192 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.192 * [taylor]: Taking taylor expansion of x in x 11.192 * [backup-simplify]: Simplify 0 into 0 11.192 * [backup-simplify]: Simplify 1 into 1 11.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.192 * [taylor]: Taking taylor expansion of y in x 11.192 * [backup-simplify]: Simplify y into y 11.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.192 * [taylor]: Taking taylor expansion of x in x 11.192 * [backup-simplify]: Simplify 0 into 0 11.192 * [backup-simplify]: Simplify 1 into 1 11.193 * [backup-simplify]: Simplify (* 1 1) into 1 11.193 * [backup-simplify]: Simplify (/ 1 1) into 1 11.193 * [backup-simplify]: Simplify (* 1 1) into 1 11.194 * [backup-simplify]: Simplify (+ 0 1) into 1 11.194 * [backup-simplify]: Simplify (* 1 1) into 1 11.194 * [backup-simplify]: Simplify (/ 1 1) into 1 11.194 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.195 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.195 * [taylor]: Taking taylor expansion of x in x 11.195 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify 1 into 1 11.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.195 * [taylor]: Taking taylor expansion of y in x 11.195 * [backup-simplify]: Simplify y into y 11.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.195 * [taylor]: Taking taylor expansion of x in x 11.195 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify 1 into 1 11.195 * [backup-simplify]: Simplify (* 1 1) into 1 11.196 * [backup-simplify]: Simplify (/ 1 1) into 1 11.196 * [backup-simplify]: Simplify (* 1 1) into 1 11.197 * [backup-simplify]: Simplify (+ 0 1) into 1 11.197 * [backup-simplify]: Simplify (* 1 1) into 1 11.197 * [backup-simplify]: Simplify (/ 1 1) into 1 11.197 * [taylor]: Taking taylor expansion of 1 in y 11.197 * [backup-simplify]: Simplify 1 into 1 11.197 * [backup-simplify]: Simplify 0 into 0 11.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.199 * [backup-simplify]: Simplify (+ 0 0) into 0 11.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.201 * [taylor]: Taking taylor expansion of 0 in y 11.201 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.203 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 11.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.205 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 11.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 11.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 11.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.206 * [taylor]: Taking taylor expansion of y in y 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.206 * [backup-simplify]: Simplify (* 1 1) into 1 11.206 * [backup-simplify]: Simplify (/ 1 1) into 1 11.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.214 * [backup-simplify]: Simplify (- 0) into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 11.214 * [backup-simplify]: Simplify (log (exp (/ (* y y) (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 11.214 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 11.215 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 11.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.215 * [taylor]: Taking taylor expansion of y in x 11.215 * [backup-simplify]: Simplify y into y 11.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 11.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.215 * [taylor]: Taking taylor expansion of y in x 11.215 * [backup-simplify]: Simplify y into y 11.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.215 * [taylor]: Taking taylor expansion of x in x 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 1 into 1 11.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.215 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 11.215 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 11.215 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 11.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.215 * [taylor]: Taking taylor expansion of y in y 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 1 into 1 11.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 11.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.215 * [taylor]: Taking taylor expansion of y in y 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 1 into 1 11.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.215 * [taylor]: Taking taylor expansion of x in y 11.215 * [backup-simplify]: Simplify x into x 11.216 * [backup-simplify]: Simplify (* 1 1) into 1 11.216 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.216 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 11.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.216 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 11.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.216 * [taylor]: Taking taylor expansion of y in y 11.216 * [backup-simplify]: Simplify 0 into 0 11.216 * [backup-simplify]: Simplify 1 into 1 11.216 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 11.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.216 * [taylor]: Taking taylor expansion of y in y 11.216 * [backup-simplify]: Simplify 0 into 0 11.216 * [backup-simplify]: Simplify 1 into 1 11.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.216 * [taylor]: Taking taylor expansion of x in y 11.216 * [backup-simplify]: Simplify x into x 11.217 * [backup-simplify]: Simplify (* 1 1) into 1 11.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.217 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 11.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.217 * [taylor]: Taking taylor expansion of x in x 11.217 * [backup-simplify]: Simplify 0 into 0 11.217 * [backup-simplify]: Simplify 1 into 1 11.218 * [backup-simplify]: Simplify (* 1 1) into 1 11.218 * [backup-simplify]: Simplify (/ 1 1) into 1 11.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.221 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.222 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.222 * [backup-simplify]: Simplify (+ 0 0) into 0 11.222 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 11.222 * [taylor]: Taking taylor expansion of 0 in x 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 0 into 0 11.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.225 * [backup-simplify]: Simplify (* 1 1) into 1 11.225 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 11.225 * [backup-simplify]: Simplify (+ 1 0) into 1 11.225 * [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))) 11.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 11.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.225 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.225 * [taylor]: Taking taylor expansion of x in x 11.225 * [backup-simplify]: Simplify 0 into 0 11.225 * [backup-simplify]: Simplify 1 into 1 11.226 * [backup-simplify]: Simplify (* 1 1) into 1 11.226 * [backup-simplify]: Simplify (* 1 1) into 1 11.226 * [backup-simplify]: Simplify (/ 1 1) into 1 11.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.233 * [backup-simplify]: Simplify (- 0) into 0 11.233 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 0 into 0 11.235 * [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))))) 11.235 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.235 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.235 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.235 * [taylor]: Taking taylor expansion of y in x 11.235 * [backup-simplify]: Simplify y into y 11.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.235 * [taylor]: Taking taylor expansion of y in x 11.235 * [backup-simplify]: Simplify y into y 11.235 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.235 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.235 * [taylor]: Taking taylor expansion of x in x 11.235 * [backup-simplify]: Simplify 0 into 0 11.235 * [backup-simplify]: Simplify 1 into 1 11.235 * [backup-simplify]: Simplify (* 1 1) into 1 11.235 * [backup-simplify]: Simplify (/ 1 1) into 1 11.235 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.236 * [backup-simplify]: Simplify (+ 0 1) into 1 11.236 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.236 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.236 * [taylor]: Taking taylor expansion of y in y 11.236 * [backup-simplify]: Simplify 0 into 0 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.236 * [taylor]: Taking taylor expansion of y in y 11.236 * [backup-simplify]: Simplify 0 into 0 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [backup-simplify]: Simplify (* 1 1) into 1 11.237 * [backup-simplify]: Simplify (/ 1 1) into 1 11.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.237 * [taylor]: Taking taylor expansion of x in y 11.237 * [backup-simplify]: Simplify x into x 11.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.237 * [backup-simplify]: Simplify (* 1 1) into 1 11.237 * [backup-simplify]: Simplify (+ 1 0) into 1 11.237 * [backup-simplify]: Simplify (* 1 1) into 1 11.238 * [backup-simplify]: Simplify (/ 1 1) into 1 11.238 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.238 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.238 * [taylor]: Taking taylor expansion of y in y 11.238 * [backup-simplify]: Simplify 0 into 0 11.238 * [backup-simplify]: Simplify 1 into 1 11.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.238 * [taylor]: Taking taylor expansion of y in y 11.238 * [backup-simplify]: Simplify 0 into 0 11.238 * [backup-simplify]: Simplify 1 into 1 11.238 * [backup-simplify]: Simplify (* 1 1) into 1 11.238 * [backup-simplify]: Simplify (/ 1 1) into 1 11.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.238 * [taylor]: Taking taylor expansion of x in y 11.238 * [backup-simplify]: Simplify x into x 11.238 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.238 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.239 * [backup-simplify]: Simplify (* 1 1) into 1 11.239 * [backup-simplify]: Simplify (+ 1 0) into 1 11.239 * [backup-simplify]: Simplify (* 1 1) into 1 11.239 * [backup-simplify]: Simplify (/ 1 1) into 1 11.240 * [taylor]: Taking taylor expansion of 1 in x 11.240 * [backup-simplify]: Simplify 1 into 1 11.240 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.241 * [backup-simplify]: Simplify (+ 0 0) into 0 11.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.242 * [taylor]: Taking taylor expansion of 0 in x 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.244 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.245 * [taylor]: Taking taylor expansion of x in x 11.245 * [backup-simplify]: Simplify 0 into 0 11.245 * [backup-simplify]: Simplify 1 into 1 11.245 * [backup-simplify]: Simplify (* 1 1) into 1 11.245 * [backup-simplify]: Simplify (/ 1 1) into 1 11.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.250 * [backup-simplify]: Simplify (- 0) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [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))))) 11.250 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 11.250 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 11.250 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 11.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.250 * [taylor]: Taking taylor expansion of y in x 11.250 * [backup-simplify]: Simplify y into y 11.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 11.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 11.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.250 * [taylor]: Taking taylor expansion of y in x 11.250 * [backup-simplify]: Simplify y into y 11.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.250 * [taylor]: Taking taylor expansion of x in x 11.251 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (* 1 1) into 1 11.251 * [backup-simplify]: Simplify (/ 1 1) into 1 11.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.251 * [backup-simplify]: Simplify (+ 0 1) into 1 11.251 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 11.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.251 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.251 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.252 * [taylor]: Taking taylor expansion of y in y 11.252 * [backup-simplify]: Simplify 0 into 0 11.252 * [backup-simplify]: Simplify 1 into 1 11.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.252 * [taylor]: Taking taylor expansion of y in y 11.252 * [backup-simplify]: Simplify 0 into 0 11.252 * [backup-simplify]: Simplify 1 into 1 11.252 * [backup-simplify]: Simplify (* 1 1) into 1 11.252 * [backup-simplify]: Simplify (/ 1 1) into 1 11.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.252 * [taylor]: Taking taylor expansion of x in y 11.252 * [backup-simplify]: Simplify x into x 11.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.253 * [backup-simplify]: Simplify (* 1 1) into 1 11.253 * [backup-simplify]: Simplify (+ 1 0) into 1 11.253 * [backup-simplify]: Simplify (* 1 1) into 1 11.253 * [backup-simplify]: Simplify (/ 1 1) into 1 11.253 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 11.253 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 11.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.253 * [taylor]: Taking taylor expansion of y in y 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify 1 into 1 11.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 11.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.253 * [taylor]: Taking taylor expansion of y in y 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify 1 into 1 11.254 * [backup-simplify]: Simplify (* 1 1) into 1 11.254 * [backup-simplify]: Simplify (/ 1 1) into 1 11.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.254 * [taylor]: Taking taylor expansion of x in y 11.254 * [backup-simplify]: Simplify x into x 11.254 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.254 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.255 * [backup-simplify]: Simplify (* 1 1) into 1 11.255 * [backup-simplify]: Simplify (+ 1 0) into 1 11.255 * [backup-simplify]: Simplify (* 1 1) into 1 11.256 * [backup-simplify]: Simplify (/ 1 1) into 1 11.256 * [taylor]: Taking taylor expansion of 1 in x 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.257 * [backup-simplify]: Simplify (+ 0 0) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.260 * [taylor]: Taking taylor expansion of 0 in x 11.260 * [backup-simplify]: Simplify 0 into 0 11.260 * [backup-simplify]: Simplify 0 into 0 11.260 * [backup-simplify]: Simplify 0 into 0 11.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 11.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 11.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 11.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.264 * [taylor]: Taking taylor expansion of x in x 11.264 * [backup-simplify]: Simplify 0 into 0 11.264 * [backup-simplify]: Simplify 1 into 1 11.265 * [backup-simplify]: Simplify (* 1 1) into 1 11.265 * [backup-simplify]: Simplify (/ 1 1) into 1 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.272 * [backup-simplify]: Simplify (- 0) into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * * * [progress]: simplifying candidates 11.272 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 11.273 * * * * [progress]: [ 18 / 102 ] 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11.274 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 11.274 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 11.275 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 11.275 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 11.275 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 11.275 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 11.275 * * * * 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11.276 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 11.276 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 11.277 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 11.282 * [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 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)))))) 0 0 0 0 0 0 0 0 0 0 0 0 11.283 * * [simplify]: iteration 1: (117 enodes) 11.310 * * [simplify]: iteration 2: (277 enodes) 11.409 * * [simplify]: iteration 3: (813 enodes) 11.939 * * [simplify]: Extracting #0: cost 46 inf + 0 11.939 * * [simplify]: Extracting #1: cost 288 inf + 45 11.941 * * [simplify]: Extracting #2: cost 508 inf + 2629 11.951 * * [simplify]: Extracting #3: cost 414 inf + 48439 11.986 * * [simplify]: Extracting #4: cost 106 inf + 129362 12.050 * * [simplify]: Extracting #5: cost 4 inf + 163471 12.119 * * [simplify]: Extracting #6: cost 0 inf + 164681 12.187 * [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 (+ 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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 x) (cbrt (+ (* x x) (* y y)))) (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) (* x x)) (* (* y y) (* 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) (* x x)) (* (* y y) (* 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)))) 0 0 0 0 0 0 0 0 0 0 0 0 12.199 * * * [progress]: adding candidates to table 13.709 * [progress]: [Phase 3 of 3] Extracting. 13.709 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.710 * * * [regime-changes]: Trying 2 branch expressions: (y x) 13.710 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 13.799 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 13.855 * * * [regime]: Found split indices: #