42.979 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (- (* x x) (* y y)) 0.023 * * [simplify]: iteration 0: 5 enodes 0.024 * * [simplify]: iteration 1: 11 enodes 0.025 * * [simplify]: iteration 2: 18 enodes 0.028 * * [simplify]: iteration 3: 35 enodes 0.034 * * [simplify]: iteration 4: 67 enodes 0.060 * * [simplify]: iteration 5: 160 enodes 0.123 * * [simplify]: iteration 6: 366 enodes 0.347 * * [simplify]: iteration 7: 901 enodes 1.683 * * [simplify]: iteration 8: 3866 enodes 3.203 * * [simplify]: iteration complete: 5000 enodes 3.203 * * [simplify]: Extracting #0: cost 1 inf + 0 3.205 * * [simplify]: Extracting #1: cost 251 inf + 0 3.211 * * [simplify]: Extracting #2: cost 671 inf + 485 3.217 * * [simplify]: Extracting #3: cost 153 inf + 5304 3.225 * * [simplify]: Extracting #4: cost 0 inf + 6977 3.229 * [simplify]: Simplified to: (- (* x x) (* y y)) 3.229 * * [progress]: iteration 1 / 4 3.229 * * * [progress]: picking best candidate 3.232 * * * * [pick]: Picked # 3.232 * * * [progress]: localizing error 3.240 * * * [progress]: generating rewritten candidates 3.240 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.252 * * * [progress]: generating series expansions 3.252 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.252 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 3.252 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 3.252 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.252 * [taylor]: Taking taylor expansion of x in y 3.252 * [backup-simplify]: Simplify x into x 3.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.252 * [taylor]: Taking taylor expansion of y in y 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.252 * [taylor]: Taking taylor expansion of y in x 3.253 * [backup-simplify]: Simplify y into y 3.253 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.253 * [taylor]: Taking taylor expansion of y in x 3.253 * [backup-simplify]: Simplify y into y 3.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.253 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 3.253 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 3.253 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 3.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.253 * [taylor]: Taking taylor expansion of y in y 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [taylor]: Taking taylor expansion of 0 in y 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.256 * [backup-simplify]: Simplify (+ 1 0) into 1 3.256 * [taylor]: Taking taylor expansion of 1 in y 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (- 1) into -1 3.257 * [backup-simplify]: Simplify -1 into -1 3.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [taylor]: Taking taylor expansion of 0 in y 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 3.263 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.263 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 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 (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.265 * [taylor]: Taking taylor expansion of y in x 3.265 * [backup-simplify]: Simplify y into y 3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.265 * [taylor]: Taking taylor expansion of x in x 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (* 1 1) into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.266 * [taylor]: Taking taylor expansion of y in x 3.266 * [backup-simplify]: Simplify y into y 3.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.266 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [taylor]: Taking taylor expansion of 1 in y 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.270 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.270 * [taylor]: Taking taylor expansion of y in y 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (- 1) into -1 3.271 * [backup-simplify]: Simplify -1 into -1 3.271 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.274 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [taylor]: Taking taylor expansion of 0 in y 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.279 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [taylor]: Taking taylor expansion of 0 in y 3.279 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.281 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.282 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [backup-simplify]: Simplify x into x 3.282 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.282 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.282 * [taylor]: Taking taylor expansion of y in y 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (* 1 1) into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* 1 1) into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.283 * [taylor]: Taking taylor expansion of y in x 3.283 * [backup-simplify]: Simplify y into y 3.284 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.284 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.285 * [backup-simplify]: Simplify y into y 3.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.285 * [taylor]: Taking taylor expansion of 1 in y 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [taylor]: Taking taylor expansion of 0 in y 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.289 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.289 * [taylor]: Taking taylor expansion of y in y 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [backup-simplify]: Simplify (- 1) into -1 3.290 * [backup-simplify]: Simplify -1 into -1 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.292 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [taylor]: Taking taylor expansion of 0 in y 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (- 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.297 * [backup-simplify]: Simplify (- 0) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [taylor]: Taking taylor expansion of 0 in y 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (- 0) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.300 * * * [progress]: simplifying candidates 3.300 * [simplify]: Simplifying: (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 3.301 * * [simplify]: iteration 0: 38 enodes 3.312 * * [simplify]: iteration 1: 118 enodes 3.389 * * [simplify]: iteration 2: 646 enodes 3.739 * * [simplify]: iteration complete: 5000 enodes 3.739 * * [simplify]: Extracting #0: cost 17 inf + 0 3.740 * * [simplify]: Extracting #1: cost 513 inf + 0 3.744 * * [simplify]: Extracting #2: cost 1932 inf + 317 3.750 * * [simplify]: Extracting #3: cost 812 inf + 7627 3.756 * * [simplify]: Extracting #4: cost 122 inf + 13392 3.762 * * [simplify]: Extracting #5: cost 25 inf + 14080 3.768 * * [simplify]: Extracting #6: cost 0 inf + 14295 3.778 * [simplify]: Simplified to: (* (+ x y) (- x y)) (* y (+ (- y) y)) (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (- (* y y)) (pow (exp (+ x y)) (- x y)) (log (* (+ x y) (- x y))) (pow (exp (+ x y)) (- x y)) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (+ x y) (- x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (- (pow x 6) (pow y 6)) (fma y (fma (* x x) y (pow y 3)) (pow x 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (fma x x (* y y)) (+ x y) (- x y) (- (* y y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 3.778 * * * [progress]: adding candidates to table 3.850 * * [progress]: iteration 2 / 4 3.850 * * * [progress]: picking best candidate 3.854 * * * * [pick]: Picked # 3.854 * * * [progress]: localizing error 3.872 * * * [progress]: generating rewritten candidates 3.872 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.921 * * * [progress]: generating series expansions 3.921 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.922 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 3.922 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 3.922 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 3.922 * [taylor]: Taking taylor expansion of (+ x y) in y 3.922 * [taylor]: Taking taylor expansion of x in y 3.922 * [backup-simplify]: Simplify x into x 3.922 * [taylor]: Taking taylor expansion of y in y 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of (- x y) in y 3.922 * [taylor]: Taking taylor expansion of x in y 3.922 * [backup-simplify]: Simplify x into x 3.922 * [taylor]: Taking taylor expansion of y in y 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.922 * [taylor]: Taking taylor expansion of (+ x y) in x 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of y in x 3.922 * [backup-simplify]: Simplify y into y 3.922 * [taylor]: Taking taylor expansion of (- x y) in x 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of y in x 3.922 * [backup-simplify]: Simplify y into y 3.922 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.922 * [taylor]: Taking taylor expansion of (+ x y) in x 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of y in x 3.922 * [backup-simplify]: Simplify y into y 3.922 * [taylor]: Taking taylor expansion of (- x y) in x 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [taylor]: Taking taylor expansion of y in x 3.923 * [backup-simplify]: Simplify y into y 3.923 * [backup-simplify]: Simplify (+ 0 y) into y 3.923 * [backup-simplify]: Simplify (- y) into (- y) 3.923 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 3.923 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 3.923 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 3.923 * [taylor]: Taking taylor expansion of -1 in y 3.923 * [backup-simplify]: Simplify -1 into -1 3.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.923 * [taylor]: Taking taylor expansion of y in y 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.924 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 3.924 * [taylor]: Taking taylor expansion of 0 in y 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 3.926 * [taylor]: Taking taylor expansion of 1 in y 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.927 * [backup-simplify]: Simplify (* -1 1) into -1 3.927 * [backup-simplify]: Simplify -1 into -1 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 3.929 * [taylor]: Taking taylor expansion of 0 in y 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.930 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 3.932 * [taylor]: Taking taylor expansion of 0 in y 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 3.933 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 3.933 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 3.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 3.933 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.933 * [taylor]: Taking taylor expansion of x in y 3.933 * [backup-simplify]: Simplify x into x 3.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.933 * [taylor]: Taking taylor expansion of y in y 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.934 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.934 * [taylor]: Taking taylor expansion of x in y 3.934 * [backup-simplify]: Simplify x into x 3.934 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.934 * [taylor]: Taking taylor expansion of y in y 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 3.934 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.935 * [taylor]: Taking taylor expansion of y in x 3.935 * [backup-simplify]: Simplify y into y 3.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.935 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.935 * [taylor]: Taking taylor expansion of x in x 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.935 * [taylor]: Taking taylor expansion of y in x 3.935 * [backup-simplify]: Simplify y into y 3.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 3.935 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.935 * [taylor]: Taking taylor expansion of x in x 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (/ 1 1) into 1 3.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.936 * [taylor]: Taking taylor expansion of y in x 3.936 * [backup-simplify]: Simplify y into y 3.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.936 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.936 * [taylor]: Taking taylor expansion of x in x 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (/ 1 1) into 1 3.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.936 * [taylor]: Taking taylor expansion of y in x 3.936 * [backup-simplify]: Simplify y into y 3.937 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.937 * [backup-simplify]: Simplify (+ 1 0) into 1 3.937 * [backup-simplify]: Simplify (+ 1 0) into 1 3.938 * [backup-simplify]: Simplify (* 1 1) into 1 3.938 * [taylor]: Taking taylor expansion of 1 in y 3.938 * [backup-simplify]: Simplify 1 into 1 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.939 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.939 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0 3.939 * [taylor]: Taking taylor expansion of 0 in y 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.941 * [backup-simplify]: Simplify (- 0) into 0 3.941 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2))) 3.943 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.943 * [taylor]: Taking taylor expansion of y in y 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (* 1 1) into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [backup-simplify]: Simplify (- 1) into -1 3.945 * [backup-simplify]: Simplify -1 into -1 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.946 * [backup-simplify]: Simplify (- 0) into 0 3.946 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 3.948 * [taylor]: Taking taylor expansion of 0 in y 3.948 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.951 * [backup-simplify]: Simplify (- 0) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 3.958 * [taylor]: Taking taylor expansion of 0 in y 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (- 0) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.960 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) 3.960 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 3.960 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in y 3.960 * [taylor]: Taking taylor expansion of -1 in y 3.960 * [backup-simplify]: Simplify -1 into -1 3.960 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 3.960 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.960 * [taylor]: Taking taylor expansion of y in y 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify (/ 1 1) into 1 3.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.961 * [taylor]: Taking taylor expansion of x in y 3.961 * [backup-simplify]: Simplify x into x 3.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.961 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.961 * [taylor]: Taking taylor expansion of x in y 3.961 * [backup-simplify]: Simplify x into x 3.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.961 * [taylor]: Taking taylor expansion of y in y 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify (/ 1 1) into 1 3.961 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 3.962 * [taylor]: Taking taylor expansion of -1 in x 3.962 * [backup-simplify]: Simplify -1 into -1 3.962 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 3.962 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.962 * [taylor]: Taking taylor expansion of y in x 3.962 * [backup-simplify]: Simplify y into y 3.962 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (/ 1 1) into 1 3.962 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.963 * [backup-simplify]: Simplify (/ 1 1) into 1 3.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.963 * [taylor]: Taking taylor expansion of y in x 3.963 * [backup-simplify]: Simplify y into y 3.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.963 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 3.963 * [taylor]: Taking taylor expansion of -1 in x 3.963 * [backup-simplify]: Simplify -1 into -1 3.963 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 3.963 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.963 * [taylor]: Taking taylor expansion of y in x 3.963 * [backup-simplify]: Simplify y into y 3.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [backup-simplify]: Simplify (/ 1 1) into 1 3.963 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ 1 1) into 1 3.964 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.964 * [taylor]: Taking taylor expansion of y in x 3.964 * [backup-simplify]: Simplify y into y 3.964 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.964 * [backup-simplify]: Simplify (- 1) into -1 3.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.965 * [backup-simplify]: Simplify (+ 1 0) into 1 3.966 * [backup-simplify]: Simplify (* -1 1) into -1 3.966 * [backup-simplify]: Simplify (* -1 -1) into 1 3.966 * [taylor]: Taking taylor expansion of 1 in y 3.966 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (- 0) into 0 3.968 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.968 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 3.968 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.968 * [taylor]: Taking taylor expansion of 0 in y 3.968 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (- 0) into 0 3.971 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 3.973 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 3.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.973 * [taylor]: Taking taylor expansion of y in y 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (* 1 1) into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [backup-simplify]: Simplify (- 1) into -1 3.974 * [backup-simplify]: Simplify -1 into -1 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- 0) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 3.979 * [taylor]: Taking taylor expansion of 0 in y 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 3.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 3.986 * [taylor]: Taking taylor expansion of 0 in y 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.988 * * * [progress]: simplifying candidates 3.989 * [simplify]: Simplifying: (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma 1 x (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma 1 x (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 3.991 * * [simplify]: iteration 0: 120 enodes 4.025 * * [simplify]: iteration 1: 401 enodes 4.328 * * [simplify]: iteration 2: 2818 enodes 5.991 * * [simplify]: iteration complete: 5000 enodes 5.991 * * [simplify]: Extracting #0: cost 32 inf + 0 5.994 * * [simplify]: Extracting #1: cost 990 inf + 0 6.002 * * [simplify]: Extracting #2: cost 1496 inf + 185 6.011 * * [simplify]: Extracting #3: cost 656 inf + 4963 6.019 * * [simplify]: Extracting #4: cost 132 inf + 9258 6.026 * * [simplify]: Extracting #5: cost 53 inf + 9912 6.034 * * [simplify]: Extracting #6: cost 13 inf + 9989 6.045 * * [simplify]: Extracting #7: cost 0 inf + 10056 6.054 * [simplify]: Simplified to: (expm1 (* (- x y) (+ y x))) (log1p (* (- x y) (+ y x))) (* (- x y) (+ y x)) (log (* (- x y) (+ y x))) (log (* (- x y) (+ y x))) (pow (exp (- x y)) (+ x y)) (pow (* (- x y) (+ y x)) 3) (* (cbrt (* (- x y) (+ y x))) (cbrt (* (- x y) (+ y x)))) (cbrt (* (- x y) (+ y x))) (pow (* (- x y) (+ y x)) 3) (sqrt (* (- x y) (+ y x))) (sqrt (* (- x y) (+ y x))) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (* (fma x x (* y (+ y x))) (fma x x (* y (- y x)))) (* (fma x x (* y (- y))) (+ (pow y 3) (pow x 3))) (* (fma x x (* y (- y x))) (+ x y)) (* (- (pow x 3) (pow y 3)) (fma x x (* y (- y)))) (* (fma x x (* y (+ y x))) (- x y)) (* (fma x x (* y (- y))) (fma x x (* y (- y)))) (* (- x y) (+ y x)) (* (sqrt (+ y x)) (sqrt (- x y))) (* (sqrt (+ y x)) (sqrt (- x y))) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* x (+ y x)) (- (* (+ y x) y)) (* x (+ y x)) (- (* (+ y x) y)) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (pow (cbrt x) 3) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* (- x y) (+ y x)) (* (fma -1 y y) (+ x y)) (* x (+ y x)) (- (* (+ y x) y)) (* x (+ y x)) (- (* (+ y x) y)) (* (* (cbrt (- x y)) (cbrt (- x y))) (+ y x)) (* (sqrt (- x y)) (+ y x)) (+ y x) (* (+ (sqrt y) (sqrt x)) (+ y x)) (+ y x) (* (cbrt (+ y x)) (- x y)) (* (sqrt (+ y x)) (- x y)) (* (- x y) (+ y x)) (* (- x y) (+ y x)) (* (- (pow x 3) (pow y 3)) (+ y x)) (* (+ y x) (fma x x (* y (- y)))) (* (- x y) (+ (pow y 3) (pow x 3))) (* (- x y) (fma x x (* y (- y)))) (fma x x (* y (- y))) (fma x x (* y (- y))) (fma x x (* y (- y))) 6.055 * * * [progress]: adding candidates to table 6.254 * [progress]: [Phase 3 of 3] Extracting. 6.254 * * [regime]: Finding splitpoints for: (# #) 6.254 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (- (* x x) (* y y)) y x) 6.254 * * * * [regimes]: Trying to branch on (* y y) from (# #) 6.287 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.326 * * * * [regimes]: Trying to branch on (- (* x x) (* y y)) from (# #) 6.366 * * * * [regimes]: Trying to branch on y from (# #) 6.406 * * * * [regimes]: Trying to branch on x from (# #) 6.437 * * * [regime]: Found split indices: #