24.252 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (- (* x x) (* y y)) 0.025 * * [simplify]: iteration 0: 5 enodes 0.026 * * [simplify]: iteration 1: 11 enodes 0.028 * * [simplify]: iteration 2: 18 enodes 0.030 * * [simplify]: iteration 3: 35 enodes 0.042 * * [simplify]: iteration 4: 67 enodes 0.082 * * [simplify]: iteration 5: 160 enodes 0.123 * * [simplify]: iteration 6: 366 enodes 0.286 * * [simplify]: iteration 7: 901 enodes 1.581 * * [simplify]: iteration 8: 3866 enodes 3.039 * * [simplify]: iteration complete: 5000 enodes 3.039 * * [simplify]: Extracting #0: cost 1 inf + 0 3.041 * * [simplify]: Extracting #1: cost 251 inf + 0 3.055 * * [simplify]: Extracting #2: cost 671 inf + 8504 3.090 * * [simplify]: Extracting #3: cost 153 inf + 97580 3.147 * * [simplify]: Extracting #4: cost 0 inf + 129595 3.192 * [simplify]: Simplified to: (- (* x x) (* y y)) 3.192 * * [progress]: iteration 1 / 4 3.192 * * * [progress]: picking best candidate 3.197 * * * * [pick]: Picked # 3.198 * * * [progress]: localizing error 3.210 * * * [progress]: generating rewritten candidates 3.210 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.223 * * * [progress]: generating series expansions 3.223 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.223 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 3.223 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 3.223 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 3.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.223 * [taylor]: Taking taylor expansion of x in y 3.223 * [backup-simplify]: Simplify x into x 3.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.223 * [taylor]: Taking taylor expansion of y in y 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.223 * [taylor]: Taking taylor expansion of x in x 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.223 * [taylor]: Taking taylor expansion of y in x 3.223 * [backup-simplify]: Simplify y into y 3.223 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.224 * [taylor]: Taking taylor expansion of y in x 3.224 * [backup-simplify]: Simplify y into y 3.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.224 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 3.224 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 3.224 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 3.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.224 * [taylor]: Taking taylor expansion of y in y 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.225 * [backup-simplify]: Simplify (- 0) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [taylor]: Taking taylor expansion of 0 in y 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.227 * [backup-simplify]: Simplify (- 0) into 0 3.227 * [backup-simplify]: Simplify (+ 1 0) into 1 3.227 * [taylor]: Taking taylor expansion of 1 in y 3.227 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (* 1 1) into 1 3.228 * [backup-simplify]: Simplify (- 1) into -1 3.228 * [backup-simplify]: Simplify -1 into -1 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [taylor]: Taking taylor expansion of 0 in y 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [taylor]: Taking taylor expansion of 0 in y 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 3.235 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.235 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.235 * [taylor]: Taking taylor expansion of x in y 3.235 * [backup-simplify]: Simplify x into x 3.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.235 * [taylor]: Taking taylor expansion of y in y 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (* 1 1) into 1 3.240 * [backup-simplify]: Simplify (/ 1 1) into 1 3.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.240 * [taylor]: Taking taylor expansion of x in x 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.241 * [taylor]: Taking taylor expansion of y in x 3.241 * [backup-simplify]: Simplify y into y 3.241 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.242 * [taylor]: Taking taylor expansion of y in x 3.242 * [backup-simplify]: Simplify y into y 3.242 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.242 * [taylor]: Taking taylor expansion of 1 in y 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [taylor]: Taking taylor expansion of 0 in y 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.246 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.246 * [taylor]: Taking taylor expansion of y in y 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [backup-simplify]: Simplify (- 1) into -1 3.248 * [backup-simplify]: Simplify -1 into -1 3.248 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.251 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [taylor]: Taking taylor expansion of 0 in y 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- 0) into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (- 0) into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.256 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.256 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.256 * [taylor]: Taking taylor expansion of x in y 3.256 * [backup-simplify]: Simplify x into x 3.256 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.256 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.256 * [taylor]: Taking taylor expansion of y in y 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.257 * [taylor]: Taking taylor expansion of x in x 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.258 * [backup-simplify]: Simplify (/ 1 1) into 1 3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.258 * [taylor]: Taking taylor expansion of y in x 3.258 * [backup-simplify]: Simplify y into y 3.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.258 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.258 * [taylor]: Taking taylor expansion of x in x 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (* 1 1) into 1 3.258 * [backup-simplify]: Simplify (/ 1 1) into 1 3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.258 * [taylor]: Taking taylor expansion of y in x 3.258 * [backup-simplify]: Simplify y into y 3.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.259 * [backup-simplify]: Simplify (+ 1 0) into 1 3.259 * [taylor]: Taking taylor expansion of 1 in y 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [taylor]: Taking taylor expansion of 0 in y 3.260 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.261 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.261 * [taylor]: Taking taylor expansion of y in y 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify (* 1 1) into 1 3.262 * [backup-simplify]: Simplify (/ 1 1) into 1 3.262 * [backup-simplify]: Simplify (- 1) into -1 3.262 * [backup-simplify]: Simplify -1 into -1 3.262 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [taylor]: Taking taylor expansion of 0 in y 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- 0) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [taylor]: Taking taylor expansion of 0 in y 3.267 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (- 0) into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.269 * * * [progress]: simplifying candidates 3.269 * [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)) 3.270 * * [simplify]: iteration 0: 38 enodes 3.278 * * [simplify]: iteration 1: 118 enodes 3.352 * * [simplify]: iteration 2: 646 enodes 3.867 * * [simplify]: iteration complete: 5000 enodes 3.867 * * [simplify]: Extracting #0: cost 17 inf + 0 3.869 * * [simplify]: Extracting #1: cost 513 inf + 0 3.877 * * [simplify]: Extracting #2: cost 1932 inf + 5720 3.911 * * [simplify]: Extracting #3: cost 812 inf + 136094 3.976 * * [simplify]: Extracting #4: cost 122 inf + 247843 4.048 * * [simplify]: Extracting #5: cost 25 inf + 271779 4.103 * * [simplify]: Extracting #6: cost 0 inf + 281168 4.159 * [simplify]: Simplified to: (* (+ x y) (- x y)) (* y (+ (- y) y)) (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (- (* y y)) (exp (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ 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))) (- (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y))) (fma (* x x) (* x x) (* (* y y) (+ (* x x) (* y y)))) (- (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma x x (* y y)) (+ x y) (- x y) (- (* y y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 4.160 * * * [progress]: adding candidates to table 4.273 * * [progress]: iteration 2 / 4 4.273 * * * [progress]: picking best candidate 4.279 * * * * [pick]: Picked # 4.279 * * * [progress]: localizing error 4.294 * * * [progress]: generating rewritten candidates 4.294 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.325 * * * [progress]: generating series expansions 4.325 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.325 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 4.325 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 4.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.325 * [taylor]: Taking taylor expansion of (+ x y) in y 4.325 * [taylor]: Taking taylor expansion of x in y 4.325 * [backup-simplify]: Simplify x into x 4.325 * [taylor]: Taking taylor expansion of y in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [taylor]: Taking taylor expansion of (- x y) in y 4.325 * [taylor]: Taking taylor expansion of x in y 4.325 * [backup-simplify]: Simplify x into x 4.325 * [taylor]: Taking taylor expansion of y in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.325 * [taylor]: Taking taylor expansion of (+ x y) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [backup-simplify]: Simplify y into y 4.326 * [taylor]: Taking taylor expansion of (- x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [backup-simplify]: Simplify y into y 4.326 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.326 * [taylor]: Taking taylor expansion of (+ x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [backup-simplify]: Simplify y into y 4.326 * [taylor]: Taking taylor expansion of (- x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [backup-simplify]: Simplify y into y 4.326 * [backup-simplify]: Simplify (+ 0 y) into y 4.326 * [backup-simplify]: Simplify (- y) into (- y) 4.326 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.326 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.326 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.326 * [taylor]: Taking taylor expansion of -1 in y 4.326 * [backup-simplify]: Simplify -1 into -1 4.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.326 * [taylor]: Taking taylor expansion of y in y 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (- 0) into 0 4.327 * [backup-simplify]: Simplify (+ 1 0) into 1 4.327 * [backup-simplify]: Simplify (+ 1 0) into 1 4.327 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.327 * [taylor]: Taking taylor expansion of 0 in y 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify (- 0) into 0 4.328 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.328 * [taylor]: Taking taylor expansion of 1 in y 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify (* 1 1) into 1 4.329 * [backup-simplify]: Simplify (* -1 1) into -1 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.330 * [taylor]: Taking taylor expansion of 0 in y 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.331 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (- 0) into 0 4.332 * [backup-simplify]: Simplify (+ 0 0) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 4.334 * [taylor]: Taking taylor expansion of 0 in y 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 4.335 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 4.335 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 4.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 4.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.335 * [taylor]: Taking taylor expansion of y in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.336 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.336 * [taylor]: Taking taylor expansion of y in y 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.336 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.336 * [taylor]: Taking taylor expansion of x in x 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.337 * [taylor]: Taking taylor expansion of y in x 4.337 * [backup-simplify]: Simplify y into y 4.337 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.337 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.337 * [taylor]: Taking taylor expansion of y in x 4.337 * [backup-simplify]: Simplify y into y 4.337 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.337 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.338 * [taylor]: Taking taylor expansion of y in x 4.338 * [backup-simplify]: Simplify y into y 4.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.338 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.338 * [taylor]: Taking taylor expansion of y in x 4.338 * [backup-simplify]: Simplify y into y 4.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.339 * [backup-simplify]: Simplify (+ 1 0) into 1 4.339 * [backup-simplify]: Simplify (+ 1 0) into 1 4.340 * [backup-simplify]: Simplify (* 1 1) into 1 4.340 * [taylor]: Taking taylor expansion of 1 in y 4.340 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.341 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.342 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0 4.342 * [taylor]: Taking taylor expansion of 0 in y 4.342 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2))) 4.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.346 * [taylor]: Taking taylor expansion of y in y 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (* 1 1) into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (- 1) into -1 4.347 * [backup-simplify]: Simplify -1 into -1 4.347 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.348 * [backup-simplify]: Simplify (- 0) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 4.350 * [taylor]: Taking taylor expansion of 0 in y 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 4.354 * [taylor]: Taking taylor expansion of 0 in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (- 0) into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 4.356 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) 4.356 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 4.356 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in y 4.356 * [taylor]: Taking taylor expansion of -1 in y 4.356 * [backup-simplify]: Simplify -1 into -1 4.356 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 4.356 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.356 * [taylor]: Taking taylor expansion of y in y 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.356 * [taylor]: Taking taylor expansion of x in y 4.356 * [backup-simplify]: Simplify x into x 4.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.356 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.356 * [taylor]: Taking taylor expansion of x in y 4.356 * [backup-simplify]: Simplify x into x 4.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.356 * [taylor]: Taking taylor expansion of y in y 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 4.357 * [taylor]: Taking taylor expansion of -1 in x 4.357 * [backup-simplify]: Simplify -1 into -1 4.357 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 4.357 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.357 * [taylor]: Taking taylor expansion of y in x 4.357 * [backup-simplify]: Simplify y into y 4.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.357 * [taylor]: Taking taylor expansion of y in x 4.357 * [backup-simplify]: Simplify y into y 4.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.357 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 4.358 * [taylor]: Taking taylor expansion of -1 in x 4.358 * [backup-simplify]: Simplify -1 into -1 4.358 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 4.358 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.359 * [backup-simplify]: Simplify (- 1) into -1 4.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.359 * [backup-simplify]: Simplify (+ 1 0) into 1 4.359 * [backup-simplify]: Simplify (* -1 1) into -1 4.360 * [backup-simplify]: Simplify (* -1 -1) into 1 4.360 * [taylor]: Taking taylor expansion of 1 in y 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (- 0) into 0 4.361 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.361 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 4.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.362 * [taylor]: Taking taylor expansion of 0 in y 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 4.365 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 4.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.365 * [taylor]: Taking taylor expansion of y in y 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [backup-simplify]: Simplify (- 1) into -1 4.366 * [backup-simplify]: Simplify -1 into -1 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (- 0) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 4.369 * [taylor]: Taking taylor expansion of 0 in y 4.369 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.370 * [backup-simplify]: Simplify (- 0) into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 4.374 * [taylor]: Taking taylor expansion of 0 in y 4.374 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 4.378 * * * [progress]: simplifying candidates 4.379 * [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)) 4.380 * * [simplify]: iteration 0: 120 enodes 4.412 * * [simplify]: iteration 1: 401 enodes 4.680 * * [simplify]: iteration 2: 2818 enodes 6.327 * * [simplify]: iteration complete: 5000 enodes 6.327 * * [simplify]: Extracting #0: cost 32 inf + 0 6.329 * * [simplify]: Extracting #1: cost 990 inf + 0 6.340 * * [simplify]: Extracting #2: cost 1496 inf + 3645 6.356 * * [simplify]: Extracting #3: cost 656 inf + 91481 6.419 * * [simplify]: Extracting #4: cost 132 inf + 177426 6.471 * * [simplify]: Extracting #5: cost 53 inf + 198020 6.550 * * [simplify]: Extracting #6: cost 13 inf + 203053 6.612 * * [simplify]: Extracting #7: cost 0 inf + 206335 6.661 * [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))) (exp (* (- x y) (+ y x))) (* (* (- x y) (+ y x)) (* (* (- x y) (+ y x)) (* (- x y) (+ y x)))) (* (cbrt (* (- x y) (+ y x))) (cbrt (* (- x y) (+ y x)))) (cbrt (* (- x y) (+ y x))) (* (* (- x y) (+ y x)) (* (* (- x y) (+ y x)) (* (- x y) (+ y x)))) (sqrt (* (- x y) (+ y x))) (sqrt (* (- x y) (+ y x))) (fma (* y (* y y)) (- (* (* x x) x) (* y (* y y))) (* (* (* x x) x) (- (* (* x x) x) (* y (* y y))))) (* (fma x x (* y (+ y x))) (fma x x (* y (- y x)))) (* (+ x y) (* (- x y) (fma (* x x) x (* y (* y y))))) (* (fma x x (* y (- y x))) (+ x y)) (* (- (* (* x x) x) (* y (* y y))) (* (+ x y) (- x y))) (* (fma x x (* y (+ y x))) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (+ y x)) (* (sqrt (+ y x)) (sqrt (- x y))) (* (sqrt (+ y x)) (sqrt (- x y))) (* (- (* (cbrt x) (* (cbrt x) (cbrt x))) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (* (cbrt x) (* (cbrt x) (cbrt x))) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (* (cbrt x) (* (cbrt x) (cbrt x))) 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) (* (cbrt x) (cbrt x))) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (* (cbrt x) (* (cbrt x) (cbrt x))) y) (+ x y)) (* (fma -1 y y) (+ x y)) (* (- (* (cbrt x) (* (cbrt x) (cbrt x))) 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)) (* (- (* (* x x) x) (* y (* y y))) (+ y x)) (* (* (+ y x) (+ x y)) (- x y)) (* (- x y) (fma (* x x) x (* y (* y y)))) (* (- x y) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 6.664 * * * [progress]: adding candidates to table 6.845 * [progress]: [Phase 3 of 3] Extracting. 6.845 * * [regime]: Finding splitpoints for: (# #) 6.845 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (- (* x x) (* y y)) y x) 6.845 * * * * [regimes]: Trying to branch on (* y y) from (# #) 6.882 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.920 * * * * [regimes]: Trying to branch on (- (* x x) (* y y)) from (# #) 6.960 * * * * [regimes]: Trying to branch on y from (# #) 6.988 * * * * [regimes]: Trying to branch on x from (# #) 7.021 * * * [regime]: Found split indices: #