1.123 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.094 * * [simplify]: iteration 0: 6 enodes 0.099 * * [simplify]: iteration 1: 9 enodes 0.101 * * [simplify]: iteration 2: 16 enodes 0.106 * * [simplify]: iteration 3: 26 enodes 0.113 * * [simplify]: iteration 4: 33 enodes 0.120 * * [simplify]: iteration complete: 33 enodes 0.121 * * [simplify]: Extracting #0: cost 1 inf + 0 0.121 * * [simplify]: Extracting #1: cost 6 inf + 0 0.121 * * [simplify]: Extracting #2: cost 11 inf + 1 0.122 * * [simplify]: Extracting #3: cost 4 inf + 18 0.122 * * [simplify]: Extracting #4: cost 0 inf + 37 0.122 * [simplify]: Simplified to: (* (- (* x x) y) 0.5) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked # 0.132 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.204 * * * [progress]: generating series expansions 0.204 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.211 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.212 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (- y) into (- y) 0.215 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.215 * [taylor]: Taking taylor expansion of (- y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify -1 into -1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.222 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.222 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [backup-simplify]: Simplify x into x 0.223 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.223 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [backup-simplify]: Simplify y into y 0.225 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [taylor]: Taking taylor expansion of 1 in y 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.231 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (- 1) into -1 0.232 * [backup-simplify]: Simplify -1 into -1 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.241 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.241 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [backup-simplify]: Simplify x into x 0.241 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.257 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying: (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.258 * * [simplify]: iteration 0: 32 enodes 0.269 * * [simplify]: iteration 1: 87 enodes 0.312 * * [simplify]: iteration 2: 309 enodes 0.690 * * [simplify]: iteration 3: 1610 enodes 1.341 * * [simplify]: iteration complete: 5002 enodes 1.341 * * [simplify]: Extracting #0: cost 14 inf + 0 1.342 * * [simplify]: Extracting #1: cost 100 inf + 0 1.347 * * [simplify]: Extracting #2: cost 1587 inf + 13 1.357 * * [simplify]: Extracting #3: cost 1256 inf + 4386 1.370 * * [simplify]: Extracting #4: cost 271 inf + 9850 1.382 * * [simplify]: Extracting #5: cost 135 inf + 10825 1.394 * * [simplify]: Extracting #6: cost 28 inf + 11350 1.407 * * [simplify]: Extracting #7: cost 0 inf + 11512 1.413 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (- y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ (sqrt y) x) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 1.413 * * * [progress]: adding candidates to table 1.462 * * [progress]: iteration 2 / 4 1.462 * * * [progress]: picking best candidate 1.465 * * * * [pick]: Picked # 1.465 * * * [progress]: localizing error 1.492 * * * [progress]: generating rewritten candidates 1.492 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.552 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.574 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.589 * * * [progress]: generating series expansions 1.590 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.591 * [backup-simplify]: Simplify (/ (- (pow x 4) (* y y)) (+ (* x x) y)) into (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) 1.591 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (x y) around 0 1.591 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 1.591 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.591 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.591 * [backup-simplify]: Simplify x into x 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.591 * [backup-simplify]: Simplify x into x 1.591 * [taylor]: Taking taylor expansion of y in y 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.592 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.592 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.592 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.592 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.592 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.592 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 1.592 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.593 * [taylor]: Taking taylor expansion of y in x 1.593 * [backup-simplify]: Simplify y into y 1.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of y in x 1.593 * [backup-simplify]: Simplify y into y 1.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.593 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.593 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.593 * [backup-simplify]: Simplify (+ 0 y) into y 1.594 * [backup-simplify]: Simplify (/ (- (pow y 2)) y) into (* -1 y) 1.594 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 1.594 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.594 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [backup-simplify]: Simplify y into y 1.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [backup-simplify]: Simplify y into y 1.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.594 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.594 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.594 * [backup-simplify]: Simplify (+ 0 y) into y 1.595 * [backup-simplify]: Simplify (/ (- (pow y 2)) y) into (* -1 y) 1.595 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.595 * [taylor]: Taking taylor expansion of -1 in y 1.595 * [backup-simplify]: Simplify -1 into -1 1.595 * [taylor]: Taking taylor expansion of y in y 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (* -1 0) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* -1 y) (/ 0 y)))) into 0 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.598 * [backup-simplify]: Simplify -1 into -1 1.599 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* -1 y) (/ 1 y)) (* 0 (/ 0 y)))) into 1 1.601 * [taylor]: Taking taylor expansion of 1 in y 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* -1 y) (/ 0 y)) (* 0 (/ 1 y)) (* 1 (/ 0 y)))) into 0 1.605 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 1.608 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) 1.608 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.608 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.613 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.613 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.613 * [taylor]: Taking taylor expansion of x in y 1.613 * [backup-simplify]: Simplify x into x 1.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.614 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.614 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.615 * [taylor]: Taking taylor expansion of x in y 1.615 * [backup-simplify]: Simplify x into x 1.616 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [backup-simplify]: Simplify (- 1) into -1 1.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.618 * [backup-simplify]: Simplify (+ 0 1) into 1 1.618 * [backup-simplify]: Simplify (/ -1 1) into -1 1.618 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.618 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.619 * [taylor]: Taking taylor expansion of y in x 1.620 * [backup-simplify]: Simplify y into y 1.620 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.620 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [backup-simplify]: Simplify y into y 1.621 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.621 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.622 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (* 1 1) into 1 1.623 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.624 * [backup-simplify]: Simplify y into y 1.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [backup-simplify]: Simplify y into y 1.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.625 * [backup-simplify]: Simplify (+ 1 0) into 1 1.626 * [backup-simplify]: Simplify (+ 1 0) into 1 1.626 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [taylor]: Taking taylor expansion of 1 in y 1.626 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.632 * [taylor]: Taking taylor expansion of 0 in y 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 1.638 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.638 * [taylor]: Taking taylor expansion of y in y 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [backup-simplify]: Simplify (- 1) into -1 1.639 * [backup-simplify]: Simplify -1 into -1 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.651 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 1.656 * [taylor]: Taking taylor expansion of 0 in y 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 1.657 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) 1.657 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.657 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.657 * [taylor]: Taking taylor expansion of x in y 1.657 * [backup-simplify]: Simplify x into x 1.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.657 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.657 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.657 * [taylor]: Taking taylor expansion of y in y 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* 1 1) into 1 1.658 * [backup-simplify]: Simplify (/ 1 1) into 1 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.658 * [taylor]: Taking taylor expansion of x in y 1.658 * [backup-simplify]: Simplify x into x 1.658 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [backup-simplify]: Simplify (- 1) into -1 1.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.660 * [backup-simplify]: Simplify (- 1) into -1 1.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.661 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.661 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.662 * [taylor]: Taking taylor expansion of y in x 1.662 * [backup-simplify]: Simplify y into y 1.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1 1) into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.664 * [taylor]: Taking taylor expansion of y in x 1.664 * [backup-simplify]: Simplify y into y 1.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.665 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.665 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.667 * [taylor]: Taking taylor expansion of y in x 1.667 * [backup-simplify]: Simplify y into y 1.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.667 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.668 * [backup-simplify]: Simplify y into y 1.668 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of 1 in y 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.680 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 1.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.694 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 1.700 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.700 * [backup-simplify]: Simplify (- (pow x 4) (* y y)) into (- (pow x 4) (pow y 2)) 1.701 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 1.701 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.701 * [taylor]: Taking taylor expansion of x in y 1.701 * [backup-simplify]: Simplify x into x 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.701 * [backup-simplify]: Simplify y into y 1.701 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.701 * [backup-simplify]: Simplify y into y 1.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.701 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.702 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.702 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (* 1 1) into 1 1.705 * [backup-simplify]: Simplify (- 1) into -1 1.705 * [backup-simplify]: Simplify -1 into -1 1.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in y 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (- 0) into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.710 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ 1 0) into 1 1.711 * [taylor]: Taking taylor expansion of 1 in y 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.712 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 1.716 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 1.716 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.716 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.716 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [backup-simplify]: Simplify x into x 1.716 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.716 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.716 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.718 * [backup-simplify]: Simplify y into y 1.718 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.718 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [backup-simplify]: Simplify y into y 1.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.719 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.719 * [backup-simplify]: Simplify (+ 1 0) into 1 1.719 * [taylor]: Taking taylor expansion of 1 in y 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in y 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [taylor]: Taking taylor expansion of 0 in y 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [taylor]: Taking taylor expansion of 0 in y 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.727 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.727 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.727 * [taylor]: Taking taylor expansion of y in y 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [backup-simplify]: Simplify (- 1) into -1 1.728 * [backup-simplify]: Simplify -1 into -1 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [taylor]: Taking taylor expansion of 0 in y 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 1.733 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 1.733 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.733 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.733 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.733 * [taylor]: Taking taylor expansion of x in y 1.733 * [backup-simplify]: Simplify x into x 1.733 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.733 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.733 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.734 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.734 * [taylor]: Taking taylor expansion of y in x 1.734 * [backup-simplify]: Simplify y into y 1.734 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.735 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.735 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.735 * [backup-simplify]: Simplify y into y 1.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.736 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.736 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [taylor]: Taking taylor expansion of 1 in y 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [taylor]: Taking taylor expansion of 0 in y 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in y 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in y 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.747 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (- 1) into -1 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in y 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 1.756 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.756 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 1.756 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 1.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [backup-simplify]: Simplify x into x 1.756 * [taylor]: Taking taylor expansion of y in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of y in x 1.757 * [backup-simplify]: Simplify y into y 1.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of y in x 1.757 * [backup-simplify]: Simplify y into y 1.757 * [backup-simplify]: Simplify (+ 0 y) into y 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [taylor]: Taking taylor expansion of 0 in y 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.758 * [backup-simplify]: Simplify (+ 1 0) into 1 1.758 * [taylor]: Taking taylor expansion of 1 in y 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in y 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 1.760 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.760 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.760 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.760 * [taylor]: Taking taylor expansion of x in y 1.760 * [backup-simplify]: Simplify x into x 1.760 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.760 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.760 * [taylor]: Taking taylor expansion of y in y 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (/ 1 1) into 1 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* 1 1) into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.761 * [taylor]: Taking taylor expansion of y in x 1.761 * [backup-simplify]: Simplify y into y 1.761 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* 1 1) into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.761 * [taylor]: Taking taylor expansion of y in x 1.761 * [backup-simplify]: Simplify y into y 1.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.762 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [taylor]: Taking taylor expansion of 1 in y 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [taylor]: Taking taylor expansion of 0 in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.768 * [taylor]: Taking taylor expansion of 0 in y 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 1.769 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.769 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [backup-simplify]: Simplify x into x 1.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.769 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.769 * [taylor]: Taking taylor expansion of y in y 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* 1 1) into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.770 * [taylor]: Taking taylor expansion of y in x 1.770 * [backup-simplify]: Simplify y into y 1.770 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* 1 1) into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.771 * [taylor]: Taking taylor expansion of y in x 1.771 * [backup-simplify]: Simplify y into y 1.771 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.771 * [backup-simplify]: Simplify (+ 1 0) into 1 1.771 * [taylor]: Taking taylor expansion of 1 in y 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [taylor]: Taking taylor expansion of 0 in y 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.773 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.773 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (- 1) into -1 1.774 * [backup-simplify]: Simplify -1 into -1 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [taylor]: Taking taylor expansion of 0 in y 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 1.780 * * * [progress]: simplifying candidates 1.781 * [simplify]: Simplifying: (- (log (- (pow x 4) (* y y))) (log (+ (* x x) y))) (log (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (exp (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (/ (* (* (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (- (pow x 4) (* y y))) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y)))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (* (* (/ (- (pow x 4) (* y y)) (+ (* x x) y)) (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (- (- (pow x 4) (* y y))) (- (+ (* x x) y)) (/ (pow x 4) (+ (* x x) y)) (/ (* y y) (+ (* x x) y)) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (sqrt (+ (* x x) y))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) 1) (/ (cbrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ (sqrt (- (pow x 4) (* y y))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) 1) (/ (sqrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) (/ 1 1) (/ (- (pow x 4) (* y y)) (+ (* x x) y)) (/ (+ (pow (sqrt x) 4) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow (sqrt x) 4) y) (cbrt (+ (* x x) y))) (/ (+ (pow (sqrt x) 4) y) (sqrt (+ (* x x) y))) (/ (- (pow (sqrt x) 4) y) (sqrt (+ (* x x) y))) (/ (+ (pow (sqrt x) 4) y) 1) (/ (- (pow (sqrt x) 4) y) (+ (* x x) y)) (/ (+ (sqrt (pow x 4)) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (sqrt (pow x 4)) y) (cbrt (+ (* x x) y))) (/ (+ (sqrt (pow x 4)) y) (sqrt (+ (* x x) y))) (/ (- (sqrt (pow x 4)) y) (sqrt (+ (* x x) y))) (/ (+ (sqrt (pow x 4)) y) 1) (/ (- (sqrt (pow x 4)) y) (+ (* x x) y)) (/ (+ (pow x (/ 4 2)) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x (/ 4 2)) y) (cbrt (+ (* x x) y))) (/ (+ (pow x (/ 4 2)) y) (sqrt (+ (* x x) y))) (/ (- (pow x (/ 4 2)) y) (sqrt (+ (* x x) y))) (/ (+ (pow x (/ 4 2)) y) 1) (/ (- (pow x (/ 4 2)) y) (+ (* x x) y)) (/ 1 (+ (* x x) y)) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (- (pow x 4) (* y y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) (/ (- (pow x 4) (* y y)) 1) (/ (+ (* x x) y) (cbrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (sqrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (+ (* x x) y) (- (pow (sqrt x) 4) y)) (/ (+ (* x x) y) (- (sqrt (pow x 4)) y)) (/ (+ (* x x) y) (- (pow x (/ 4 2)) y)) (/ (- (pow x 4) (* y y)) (+ (pow (* x x) 3) (pow y 3))) (/ (- (pow x 4) (* y y)) (- (* (* x x) (* x x)) (* y y))) (* (+ (* x x) y) (+ (* (pow x 4) (pow x 4)) (+ (* (* y y) (* y y)) (* (pow x 4) (* y y))))) (* (+ (* x x) y) (+ (pow x 4) (* y y))) (/ (exp (pow x 4)) (exp (* y y))) (log (- (pow x 4) (* y y))) (exp (- (pow x 4) (* y y))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))) (* (* (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (- (pow (pow x 4) 3) (pow (* y y) 3)) (+ (* (pow x 4) (pow x 4)) (+ (* (* y y) (* y y)) (* (pow x 4) (* y y)))) (- (* y y)) (- (* (pow x 4) (pow x 4)) (* (* y y) (* y y))) (+ (pow x 4) (* y y)) (+ (pow (sqrt x) 4) y) (- (pow (sqrt x) 4) y) (+ (sqrt (pow x 4)) y) (- (sqrt (pow x 4)) y) (+ (pow x (/ 4 2)) y) (- (pow x (/ 4 2)) y) (- (* y y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.783 * * [simplify]: iteration 0: 128 enodes 1.818 * * [simplify]: iteration 1: 360 enodes 2.042 * * [simplify]: iteration 2: 2436 enodes 2.907 * * [simplify]: iteration complete: 5000 enodes 2.907 * * [simplify]: Extracting #0: cost 76 inf + 0 2.909 * * [simplify]: Extracting #1: cost 714 inf + 1 2.919 * * [simplify]: Extracting #2: cost 2427 inf + 25 2.941 * * [simplify]: Extracting #3: cost 1878 inf + 4637 2.956 * * [simplify]: Extracting #4: cost 347 inf + 19361 2.970 * * [simplify]: Extracting #5: cost 15 inf + 24600 2.984 * * [simplify]: Extracting #6: cost 0 inf + 24858 2.998 * * [simplify]: Extracting #7: cost 0 inf + 24844 3.015 * [simplify]: Simplified to: (log (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (log (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (exp (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (pow (/ (- (pow x 4) (* y y)) (+ (* x x) y)) 3) (* (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y)))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (pow (/ (- (pow x 4) (* y y)) (+ (* x x) y)) 3) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (- (- (pow x 4) (* y y))) (- (+ (* x x) y)) (/ (pow x 4) (+ (* x x) y)) (/ (* y y) (+ (* x x) y)) (* (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y)))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (sqrt (+ (* x x) y))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (/ (cbrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ (sqrt (- (pow x 4) (* y y))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (sqrt (- (pow x 4) (* y y))) (/ (sqrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) 1 (/ (- (pow x 4) (* y y)) (+ (* x x) y)) (/ (/ (+ (* x x) y) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (- (* x x) y) (cbrt (+ (* x x) y))) (/ (+ (* x x) y) (sqrt (+ (* x x) y))) (/ (- (* x x) y) (sqrt (+ (* x x) y))) (+ (* x x) y) (/ (- (* x x) y) (+ (* x x) y)) (/ (/ (+ y (fabs (* x x))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (- (fabs (* x x)) y) (cbrt (+ (* x x) y))) (/ (+ y (fabs (* x x))) (sqrt (+ (* x x) y))) (/ (- (fabs (* x x)) y) (sqrt (+ (* x x) y))) (+ y (fabs (* x x))) (/ (- (fabs (* x x)) y) (+ (* x x) y)) (/ (+ (* x x) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (* x x) y) (cbrt (+ (* x x) y))) (/ (+ (* x x) y) (sqrt (+ (* x x) y))) (/ (- (* x x) y) (sqrt (+ (* x x) y))) (+ (* x x) y) (/ (- (* x x) y) (+ (* x x) y)) (/ 1 (+ (* x x) y)) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (- (pow x 4) (* y y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) (- (pow x 4) (* y y)) (/ (+ (* x x) y) (cbrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (sqrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (+ (* x x) y) (- (* x x) y)) (/ (+ (* x x) y) (- (fabs (* x x)) y)) (/ (+ (* x x) y) (- (* x x) y)) (/ (- (pow x 4) (* y y)) (+ (pow x 6) (pow y 3))) (/ (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (* (+ (pow y 4) (+ (* (pow x 4) (* y y)) (pow x 8))) (+ (* x x) y)) (* (+ (* x x) y) (+ (* y y) (pow x 4))) (exp (- (pow x 4) (* y y))) (log (- (pow x 4) (* y y))) (exp (- (pow x 4) (* y y))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))) (pow (- (pow x 4) (* y y)) 3) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (- (pow (pow x 4) 3) (pow y 6)) (+ (pow y 4) (+ (* (pow x 4) (* y y)) (pow x 8))) (* (- y) y) (- (pow x 8) (pow y 4)) (+ (* y y) (pow x 4)) (+ (* x x) y) (- (* x x) y) (+ y (fabs (* x x))) (- (fabs (* x x)) y) (+ (* x x) y) (- (* x x) y) (* (- y) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (pow x 4) (* (- y (* x x)) y)) (- (pow x 4) (* y y)) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 3.016 * * * [progress]: adding candidates to table 3.414 * [progress]: [Phase 3 of 3] Extracting. 3.414 * * [regime]: Finding splitpoints for: (# #) 3.416 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 3.417 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.470 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 3.496 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 3.527 * * * * [regimes]: Trying to branch on y from (# #) 3.561 * * * * [regimes]: Trying to branch on x from (# #) 3.590 * * * [regime]: Found split indices: #