47.139 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.035 * * [simplify]: iteration 0: 4 enodes 0.036 * * [simplify]: iteration 1: 11 enodes 0.039 * * [simplify]: iteration 2: 27 enodes 0.044 * * [simplify]: iteration 3: 65 enodes 0.056 * * [simplify]: iteration 4: 147 enodes 0.079 * * [simplify]: iteration 5: 243 enodes 0.112 * * [simplify]: iteration 6: 273 enodes 0.149 * * [simplify]: iteration 7: 290 enodes 0.187 * * [simplify]: iteration 8: 292 enodes 0.226 * * [simplify]: iteration complete: 292 enodes 0.226 * * [simplify]: Extracting #0: cost 1 inf + 0 0.226 * * [simplify]: Extracting #1: cost 19 inf + 0 0.226 * * [simplify]: Extracting #2: cost 15 inf + 44 0.227 * * [simplify]: Extracting #3: cost 0 inf + 1125 0.228 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.229 * * [progress]: iteration 1 / 4 0.229 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.285 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.285 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.285 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.285 * [taylor]: Taking taylor expansion of (+ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ x 0) into x 0.285 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.285 * [taylor]: Taking taylor expansion of (+ x y) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (+ 0 y) into y 0.286 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.286 * [taylor]: Taking taylor expansion of (+ x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (+ 0 y) into y 0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.287 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.287 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.287 * [taylor]: Taking taylor expansion of 2 in y 0.287 * [backup-simplify]: Simplify 2 into 2 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 2 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.289 * [backup-simplify]: Simplify 2 into 2 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.290 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.291 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [backup-simplify]: Simplify x into x 0.291 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ 0 1) into 1 0.292 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [backup-simplify]: Simplify y into y 0.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.295 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.295 * [taylor]: Taking taylor expansion of 2 in y 0.295 * [backup-simplify]: Simplify 2 into 2 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 2 1) into 2 0.299 * [backup-simplify]: Simplify 2 into 2 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.300 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.300 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.304 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of 2 in y 0.304 * [backup-simplify]: Simplify 2 into 2 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 2 1) into 2 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.308 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (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)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) 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) 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 y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.309 * * [simplify]: iteration 0: 64 enodes 0.324 * * [simplify]: iteration 1: 232 enodes 0.499 * * [simplify]: iteration 2: 1738 enodes 1.350 * * [simplify]: iteration complete: 5001 enodes 1.351 * * [simplify]: Extracting #0: cost 28 inf + 0 1.353 * * [simplify]: Extracting #1: cost 764 inf + 2 1.370 * * [simplify]: Extracting #2: cost 1614 inf + 3067 1.396 * * [simplify]: Extracting #3: cost 1348 inf + 101020 1.455 * * [simplify]: Extracting #4: cost 95 inf + 286763 1.530 * * [simplify]: Extracting #5: cost 1 inf + 303655 1.605 * * [simplify]: Extracting #6: cost 0 inf + 303908 1.681 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (+ (log (+ x y)) (log (+ x y))) (+ (log (+ x y)) (log (+ 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)))) (fabs (+ x y)) (fabs (+ x y)) (* (fma x (* x x) (* (* y y) y)) (fma x (* x x) (* (* y y) y))) (* (fma y (- y x) (* x x)) (fma y (- y x) (* x x))) (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (sqrt (+ x y)) (+ x y)) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (fma x (* x x) (* (* y y) y))) (* (* (- x y) (+ x y)) (+ x y)) (* (+ x y) (fma x (* x x) (* (* y y) y))) (* (* (- x y) (+ x y)) (+ x y)) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) 1.684 * * * [progress]: adding candidates to table 1.826 * * [progress]: iteration 2 / 4 1.826 * * * [progress]: picking best candidate 1.839 * * * * [pick]: Picked # 1.840 * * * [progress]: localizing error 1.851 * * * [progress]: generating rewritten candidates 1.851 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.863 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.885 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.905 * * * [progress]: generating series expansions 1.905 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.906 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.906 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 1.906 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.906 * [taylor]: Taking taylor expansion of y in y 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.906 * [taylor]: Taking taylor expansion of x in y 1.906 * [backup-simplify]: Simplify x into x 1.906 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.906 * [taylor]: Taking taylor expansion of 2 in y 1.906 * [backup-simplify]: Simplify 2 into 2 1.906 * [taylor]: Taking taylor expansion of (* x y) in y 1.906 * [taylor]: Taking taylor expansion of x in y 1.906 * [backup-simplify]: Simplify x into x 1.906 * [taylor]: Taking taylor expansion of y in y 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.906 * [taylor]: Taking taylor expansion of y in x 1.906 * [backup-simplify]: Simplify y into y 1.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.906 * [taylor]: Taking taylor expansion of 2 in x 1.906 * [backup-simplify]: Simplify 2 into 2 1.906 * [taylor]: Taking taylor expansion of (* x y) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of y in x 1.906 * [backup-simplify]: Simplify y into y 1.906 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.906 * [taylor]: Taking taylor expansion of y in x 1.906 * [backup-simplify]: Simplify y into y 1.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.906 * [taylor]: Taking taylor expansion of 2 in x 1.906 * [backup-simplify]: Simplify 2 into 2 1.906 * [taylor]: Taking taylor expansion of (* x y) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of y in x 1.907 * [backup-simplify]: Simplify y into y 1.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.907 * [backup-simplify]: Simplify (* 0 y) into 0 1.907 * [backup-simplify]: Simplify (* 2 0) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.908 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.908 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.908 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.908 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.908 * [taylor]: Taking taylor expansion of 2 in y 1.908 * [backup-simplify]: Simplify 2 into 2 1.909 * [taylor]: Taking taylor expansion of y in y 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* 2 0) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (+ 0 1) into 1 1.914 * [taylor]: Taking taylor expansion of 1 in y 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.915 * [backup-simplify]: Simplify 2 into 2 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.916 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 1.916 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.916 * [taylor]: Taking taylor expansion of x in y 1.917 * [backup-simplify]: Simplify x into x 1.917 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.917 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.917 * [taylor]: Taking taylor expansion of 2 in y 1.917 * [backup-simplify]: Simplify 2 into 2 1.917 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.917 * [taylor]: Taking taylor expansion of (* x y) in y 1.917 * [taylor]: Taking taylor expansion of x in y 1.917 * [backup-simplify]: Simplify x into x 1.917 * [taylor]: Taking taylor expansion of y in y 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* x 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [backup-simplify]: Simplify y into y 1.917 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.917 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.918 * [taylor]: Taking taylor expansion of 2 in x 1.918 * [backup-simplify]: Simplify 2 into 2 1.918 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.918 * [taylor]: Taking taylor expansion of (* x y) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of y in x 1.918 * [backup-simplify]: Simplify y into y 1.918 * [backup-simplify]: Simplify (* 0 y) into 0 1.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.918 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.919 * [taylor]: Taking taylor expansion of y in x 1.919 * [backup-simplify]: Simplify y into y 1.919 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.919 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.919 * [taylor]: Taking taylor expansion of 2 in x 1.919 * [backup-simplify]: Simplify 2 into 2 1.919 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.919 * [taylor]: Taking taylor expansion of (* x y) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [taylor]: Taking taylor expansion of y in x 1.919 * [backup-simplify]: Simplify y into y 1.919 * [backup-simplify]: Simplify (* 0 y) into 0 1.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.920 * [backup-simplify]: Simplify (+ 1 0) into 1 1.920 * [backup-simplify]: Simplify (+ 0 1) into 1 1.920 * [taylor]: Taking taylor expansion of 1 in y 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.921 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.921 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.921 * [taylor]: Taking taylor expansion of 2 in y 1.921 * [backup-simplify]: Simplify 2 into 2 1.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 2 1) into 2 1.925 * [backup-simplify]: Simplify 2 into 2 1.925 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.926 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 1.926 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.926 * [taylor]: Taking taylor expansion of y in y 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.927 * [taylor]: Taking taylor expansion of x in y 1.927 * [backup-simplify]: Simplify x into x 1.927 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.927 * [taylor]: Taking taylor expansion of 2 in y 1.927 * [backup-simplify]: Simplify 2 into 2 1.927 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.927 * [taylor]: Taking taylor expansion of (* x y) in y 1.927 * [taylor]: Taking taylor expansion of x in y 1.927 * [backup-simplify]: Simplify x into x 1.927 * [taylor]: Taking taylor expansion of y in y 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* x 0) into 0 1.927 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.927 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [backup-simplify]: Simplify y into y 1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.928 * [taylor]: Taking taylor expansion of 2 in x 1.928 * [backup-simplify]: Simplify 2 into 2 1.928 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.928 * [taylor]: Taking taylor expansion of (* x y) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of y in x 1.928 * [backup-simplify]: Simplify y into y 1.928 * [backup-simplify]: Simplify (* 0 y) into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.929 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.929 * [taylor]: Taking taylor expansion of y in x 1.929 * [backup-simplify]: Simplify y into y 1.929 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.930 * [taylor]: Taking taylor expansion of 2 in x 1.930 * [backup-simplify]: Simplify 2 into 2 1.930 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.930 * [taylor]: Taking taylor expansion of (* x y) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [backup-simplify]: Simplify y into y 1.930 * [backup-simplify]: Simplify (* 0 y) into 0 1.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.930 * [backup-simplify]: Simplify (+ 1 0) into 1 1.931 * [backup-simplify]: Simplify (+ 0 1) into 1 1.931 * [taylor]: Taking taylor expansion of 1 in y 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.932 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.932 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.932 * [taylor]: Taking taylor expansion of 2 in y 1.932 * [backup-simplify]: Simplify 2 into 2 1.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.935 * [taylor]: Taking taylor expansion of y in y 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 2 1) into 2 1.935 * [backup-simplify]: Simplify 2 into 2 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.936 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.936 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 1.936 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 1.936 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 1.936 * [taylor]: Taking taylor expansion of x in y 1.936 * [backup-simplify]: Simplify x into x 1.936 * [taylor]: Taking taylor expansion of (+ x y) in y 1.936 * [taylor]: Taking taylor expansion of x in y 1.936 * [backup-simplify]: Simplify x into x 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of (+ x y) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [backup-simplify]: Simplify y into y 1.936 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of (+ x y) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [backup-simplify]: Simplify y into y 1.937 * [backup-simplify]: Simplify (+ 0 y) into y 1.937 * [backup-simplify]: Simplify (* 0 y) into 0 1.937 * [taylor]: Taking taylor expansion of 0 in y 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 1.937 * [taylor]: Taking taylor expansion of y in y 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 1.938 * [taylor]: Taking taylor expansion of 1 in y 1.938 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 1.940 * [taylor]: Taking taylor expansion of 0 in y 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 1.942 * [taylor]: Taking taylor expansion of 0 in y 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 1.943 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.943 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.943 * [taylor]: Taking taylor expansion of x in y 1.943 * [backup-simplify]: Simplify x into x 1.943 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.943 * [taylor]: Taking taylor expansion of y in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [taylor]: Taking taylor expansion of x in y 1.944 * [backup-simplify]: Simplify x into x 1.944 * [backup-simplify]: Simplify (+ 0 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.945 * [taylor]: Taking taylor expansion of y in x 1.945 * [backup-simplify]: Simplify y into y 1.945 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (+ 1 0) into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.946 * [taylor]: Taking taylor expansion of y in x 1.946 * [backup-simplify]: Simplify y into y 1.946 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of 1 in y 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.948 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.948 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in y 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 1.956 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.956 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.956 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [backup-simplify]: Simplify x into x 1.956 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of x in y 1.957 * [backup-simplify]: Simplify x into x 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.958 * [backup-simplify]: Simplify y into y 1.958 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.958 * [taylor]: Taking taylor expansion of x in x 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.959 * [backup-simplify]: Simplify y into y 1.959 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of 1 in y 1.960 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.962 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.962 * [taylor]: Taking taylor expansion of y in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.965 * [taylor]: Taking taylor expansion of 0 in y 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [taylor]: Taking taylor expansion of 0 in y 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [taylor]: Taking taylor expansion of 0 in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 1.974 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.974 * [backup-simplify]: Simplify (* y (+ x y)) into (* (+ x y) y) 1.974 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (y x) around 0 1.974 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 1.974 * [taylor]: Taking taylor expansion of (+ x y) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 1.975 * [taylor]: Taking taylor expansion of (+ x y) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.975 * [backup-simplify]: Simplify x into x 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 1.975 * [taylor]: Taking taylor expansion of (+ x y) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.975 * [backup-simplify]: Simplify x into x 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (+ x 0) into x 1.975 * [backup-simplify]: Simplify (* x 0) into 0 1.975 * [taylor]: Taking taylor expansion of 0 in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ 0 1) into 1 1.976 * [backup-simplify]: Simplify (+ (* x 1) (* 1 0)) into x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 0))) into 1 1.977 * [taylor]: Taking taylor expansion of 1 in x 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in x 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 1.979 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 1.979 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 1.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [backup-simplify]: Simplify y into y 1.980 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [backup-simplify]: Simplify y into y 1.980 * [backup-simplify]: Simplify (+ 1 0) into 1 1.980 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.980 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.980 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.980 * [taylor]: Taking taylor expansion of x in y 1.980 * [backup-simplify]: Simplify x into x 1.980 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.980 * [taylor]: Taking taylor expansion of y in y 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ 0 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.981 * [taylor]: Taking taylor expansion of x in y 1.981 * [backup-simplify]: Simplify x into x 1.981 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.981 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of 1 in x 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 1.983 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [taylor]: Taking taylor expansion of 0 in x 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [taylor]: Taking taylor expansion of 0 in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 1.991 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 x) (/ 1 y)) y) 1.991 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 1.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [backup-simplify]: Simplify y into y 1.992 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [backup-simplify]: Simplify y into y 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.992 * [taylor]: Taking taylor expansion of x in y 1.992 * [backup-simplify]: Simplify x into x 1.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of y in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (+ 0 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.993 * [taylor]: Taking taylor expansion of x in y 1.993 * [backup-simplify]: Simplify x into x 1.993 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.993 * [taylor]: Taking taylor expansion of y in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of y in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (+ 0 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of 1 in x 1.994 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 1.995 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 2.003 * * * [progress]: simplifying candidates 2.004 * [simplify]: Simplifying: (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 2.005 * * [simplify]: iteration 0: 117 enodes 2.041 * * [simplify]: iteration 1: 408 enodes 2.476 * * [simplify]: iteration 2: 2641 enodes 4.119 * * [simplify]: iteration complete: 5000 enodes 4.119 * * [simplify]: Extracting #0: cost 63 inf + 0 4.124 * * [simplify]: Extracting #1: cost 797 inf + 168 4.137 * * [simplify]: Extracting #2: cost 1123 inf + 47622 4.194 * * [simplify]: Extracting #3: cost 324 inf + 182241 4.273 * * [simplify]: Extracting #4: cost 81 inf + 226295 4.366 * * [simplify]: Extracting #5: cost 16 inf + 238539 4.478 * * [simplify]: Extracting #6: cost 0 inf + 242423 4.560 * [simplify]: Simplified to: (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (+ (log (+ y x)) (log (+ y x))) (exp (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (sqrt (* (+ y x) (+ y x))) (sqrt (* (+ y x) (+ y x))) (* (fma (- y x) y (* x x)) (fma x (fma x (* x x) (* (* y y) y)) (* (fma x (* x x) (* (* y y) y)) y))) (* (fma (- y x) y (* x x)) (fma (- y x) y (* x x))) (fma (fma (- y x) y (* x x)) (* y (* (+ x y) (- x y))) (* (* (- x y) x) (fma x (* x x) (* (* y y) y)))) (* (fma (- y x) y (* x x)) (- x y)) (fma (* (* (+ x y) (- x y)) x) (fma (- y x) y (* x x)) (* (* (fma x (* x x) (* (* y y) y)) (- x y)) y)) (* (fma (- y x) y (* x x)) (- x y)) (* (- x y) (fma (* (+ x y) (- x y)) y (* (* (+ x y) (- x y)) x))) (* (- x y) (- x y)) (fma (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x)) (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x))))) (fma (* x (+ y x)) (* x (+ y x)) (* (* y (+ y x)) (- (* y (+ y x)) (* x (+ y x))))) (* (* (+ y x) (- x y)) (* (+ y x) (+ y x))) (* (+ y x) (- x y)) (+ y x) (* x (+ (+ y x) y)) (* x (+ (+ y x) y)) (* y (+ (+ y x) x)) (* y (+ (+ y x) x)) (expm1 (* x (+ y x))) (log1p (* x (+ y x))) (* x (+ y x)) (log (* x (+ y x))) (log (* x (+ y x))) (exp (* x (+ y x))) (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x))) (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x)))) (cbrt (* x (+ y x))) (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x))) (sqrt (* x (+ y x))) (sqrt (* x (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* x x) (* x y) (* x x) (* x y) (* (* x (cbrt (+ y x))) (cbrt (+ y x))) (* x (sqrt (+ y x))) x x (* (cbrt x) (+ y x)) (* (+ y x) (sqrt x)) (* x (+ y x)) (* x (fma x (* x x) (* (* y y) y))) (* (* (+ x y) (- x y)) x) (expm1 (* y (+ y x))) (log1p (* y (+ y x))) (* y (+ y x)) (log (* y (+ y x))) (log (* y (+ y x))) (exp (* y (+ y x))) (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x)))) (* (cbrt (* y (+ y x))) (cbrt (* y (+ y x)))) (cbrt (* y (+ y x))) (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x)))) (sqrt (* y (+ y x))) (sqrt (* y (+ y x))) (* (sqrt (+ y x)) (sqrt y)) (* (sqrt (+ y x)) (sqrt y)) (* x y) (* y y) (* x y) (* y y) (* (* y (cbrt (+ y x))) (cbrt (+ y x))) (* (sqrt (+ y x)) y) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ y x)) (* (fma x (* x x) (* (* y y) y)) y) (* (* (+ x y) (- x y)) y) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 4.564 * * * [progress]: adding candidates to table 4.897 * * [progress]: iteration 3 / 4 4.897 * * * [progress]: picking best candidate 4.903 * * * * [pick]: Picked # 4.903 * * * [progress]: localizing error 4.916 * * * [progress]: generating rewritten candidates 4.917 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 4.946 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.985 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.056 * * * [progress]: generating series expansions 5.056 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 5.057 * [backup-simplify]: Simplify (+ (+ y x) y) into (+ x (* 2 y)) 5.057 * [approximate]: Taking taylor expansion of (+ x (* 2 y)) in (y x) around 0 5.057 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 5.057 * [taylor]: Taking taylor expansion of x in x 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.058 * [taylor]: Taking taylor expansion of 2 in x 5.058 * [backup-simplify]: Simplify 2 into 2 5.058 * [taylor]: Taking taylor expansion of y in x 5.058 * [backup-simplify]: Simplify y into y 5.058 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 5.058 * [taylor]: Taking taylor expansion of x in y 5.058 * [backup-simplify]: Simplify x into x 5.058 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.058 * [taylor]: Taking taylor expansion of 2 in y 5.058 * [backup-simplify]: Simplify 2 into 2 5.058 * [taylor]: Taking taylor expansion of y in y 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 5.058 * [taylor]: Taking taylor expansion of x in y 5.058 * [backup-simplify]: Simplify x into x 5.058 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.058 * [taylor]: Taking taylor expansion of 2 in y 5.058 * [backup-simplify]: Simplify 2 into 2 5.058 * [taylor]: Taking taylor expansion of y in y 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (* 2 0) into 0 5.059 * [backup-simplify]: Simplify (+ x 0) into x 5.059 * [taylor]: Taking taylor expansion of x in x 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.060 * [backup-simplify]: Simplify (+ 0 2) into 2 5.060 * [taylor]: Taking taylor expansion of 2 in x 5.060 * [backup-simplify]: Simplify 2 into 2 5.060 * [backup-simplify]: Simplify 2 into 2 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.061 * [backup-simplify]: Simplify (+ 0 0) into 0 5.061 * [taylor]: Taking taylor expansion of 0 in x 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.062 * [taylor]: Taking taylor expansion of 0 in x 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 2 (* 1 y))) into (+ x (* 2 y)) 5.062 * [backup-simplify]: Simplify (+ (+ (/ 1 y) (/ 1 x)) (/ 1 y)) into (+ (/ 1 x) (* 2 (/ 1 y))) 5.062 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in (y x) around 0 5.062 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.062 * [taylor]: Taking taylor expansion of x in x 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.063 * [taylor]: Taking taylor expansion of 2 in x 5.063 * [backup-simplify]: Simplify 2 into 2 5.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.063 * [taylor]: Taking taylor expansion of y in x 5.063 * [backup-simplify]: Simplify y into y 5.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.063 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.063 * [taylor]: Taking taylor expansion of x in y 5.063 * [backup-simplify]: Simplify x into x 5.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.063 * [taylor]: Taking taylor expansion of 2 in y 5.063 * [backup-simplify]: Simplify 2 into 2 5.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.063 * [taylor]: Taking taylor expansion of y in y 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.063 * [taylor]: Taking taylor expansion of x in y 5.063 * [backup-simplify]: Simplify x into x 5.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.063 * [taylor]: Taking taylor expansion of 2 in y 5.063 * [backup-simplify]: Simplify 2 into 2 5.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.063 * [taylor]: Taking taylor expansion of y in y 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (/ 1 1) into 1 5.064 * [backup-simplify]: Simplify (* 2 1) into 2 5.064 * [backup-simplify]: Simplify (+ 0 2) into 2 5.064 * [taylor]: Taking taylor expansion of 2 in x 5.064 * [backup-simplify]: Simplify 2 into 2 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.065 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.065 * [taylor]: Taking taylor expansion of x in x 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify 2 into 2 5.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.067 * [backup-simplify]: Simplify (+ 0 0) into 0 5.067 * [taylor]: Taking taylor expansion of 0 in x 5.067 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.070 * [taylor]: Taking taylor expansion of 0 in x 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.072 * [backup-simplify]: Simplify (+ 0 0) into 0 5.072 * [taylor]: Taking taylor expansion of 0 in x 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 2 y)) 5.072 * [backup-simplify]: Simplify (+ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y))) into (- (+ (/ 1 x) (* 2 (/ 1 y)))) 5.072 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (* 2 (/ 1 y)))) in (y x) around 0 5.073 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 2 (/ 1 y)))) in x 5.073 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.073 * [taylor]: Taking taylor expansion of x in x 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.073 * [taylor]: Taking taylor expansion of 2 in x 5.073 * [backup-simplify]: Simplify 2 into 2 5.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.073 * [taylor]: Taking taylor expansion of y in x 5.073 * [backup-simplify]: Simplify y into y 5.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.073 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 2 (/ 1 y)))) in y 5.073 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.073 * [taylor]: Taking taylor expansion of x in y 5.073 * [backup-simplify]: Simplify x into x 5.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.073 * [taylor]: Taking taylor expansion of 2 in y 5.073 * [backup-simplify]: Simplify 2 into 2 5.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.073 * [taylor]: Taking taylor expansion of y in y 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 2 (/ 1 y)))) in y 5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.074 * [taylor]: Taking taylor expansion of x in y 5.074 * [backup-simplify]: Simplify x into x 5.074 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.074 * [taylor]: Taking taylor expansion of 2 in y 5.074 * [backup-simplify]: Simplify 2 into 2 5.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.074 * [taylor]: Taking taylor expansion of y in y 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [backup-simplify]: Simplify (* 2 1) into 2 5.075 * [backup-simplify]: Simplify (+ 0 2) into 2 5.075 * [backup-simplify]: Simplify (- 2) into -2 5.075 * [taylor]: Taking taylor expansion of -2 in x 5.075 * [backup-simplify]: Simplify -2 into -2 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.076 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.076 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 5.076 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 5.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.076 * [taylor]: Taking taylor expansion of x in x 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [backup-simplify]: Simplify (- 1) into -1 5.077 * [backup-simplify]: Simplify -1 into -1 5.077 * [backup-simplify]: Simplify -2 into -2 5.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (- 0) into 0 5.078 * [taylor]: Taking taylor expansion of 0 in x 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (- 0) into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ 0 0) into 0 5.081 * [backup-simplify]: Simplify (- 0) into 0 5.081 * [taylor]: Taking taylor expansion of 0 in x 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (- 0) into 0 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.084 * [taylor]: Taking taylor expansion of 0 in x 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 2 y)) 5.084 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.085 * [backup-simplify]: Simplify (+ (* x (+ (+ y x) y)) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.085 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 5.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 5.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.085 * [taylor]: Taking taylor expansion of y in y 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 5.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.085 * [taylor]: Taking taylor expansion of x in y 5.085 * [backup-simplify]: Simplify x into x 5.085 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.085 * [taylor]: Taking taylor expansion of 2 in y 5.085 * [backup-simplify]: Simplify 2 into 2 5.085 * [taylor]: Taking taylor expansion of (* x y) in y 5.085 * [taylor]: Taking taylor expansion of x in y 5.085 * [backup-simplify]: Simplify x into x 5.085 * [taylor]: Taking taylor expansion of y in y 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 5.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.085 * [taylor]: Taking taylor expansion of y in x 5.085 * [backup-simplify]: Simplify y into y 5.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 5.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.085 * [taylor]: Taking taylor expansion of 2 in x 5.085 * [backup-simplify]: Simplify 2 into 2 5.085 * [taylor]: Taking taylor expansion of (* x y) in x 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of y in x 5.085 * [backup-simplify]: Simplify y into y 5.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 5.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.085 * [taylor]: Taking taylor expansion of y in x 5.085 * [backup-simplify]: Simplify y into y 5.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 5.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.085 * [taylor]: Taking taylor expansion of 2 in x 5.085 * [backup-simplify]: Simplify 2 into 2 5.085 * [taylor]: Taking taylor expansion of (* x y) in x 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of y in x 5.085 * [backup-simplify]: Simplify y into y 5.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.086 * [backup-simplify]: Simplify (* 0 y) into 0 5.086 * [backup-simplify]: Simplify (* 2 0) into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.086 * [taylor]: Taking taylor expansion of y in y 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.087 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 5.087 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.087 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.087 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.087 * [taylor]: Taking taylor expansion of 2 in y 5.087 * [backup-simplify]: Simplify 2 into 2 5.087 * [taylor]: Taking taylor expansion of y in y 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.088 * [backup-simplify]: Simplify (* 2 0) into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.088 * [backup-simplify]: Simplify (* 1 1) into 1 5.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 5.090 * [backup-simplify]: Simplify (+ 1 0) into 1 5.090 * [backup-simplify]: Simplify (+ 0 1) into 1 5.090 * [taylor]: Taking taylor expansion of 1 in y 5.090 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.091 * [backup-simplify]: Simplify 2 into 2 5.091 * [backup-simplify]: Simplify (* 1 1) into 1 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.092 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (+ (/ 1 y) (/ 1 x)) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 5.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 5.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 5.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.092 * [taylor]: Taking taylor expansion of y in y 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (/ 1 1) into 1 5.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 5.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.092 * [taylor]: Taking taylor expansion of x in y 5.092 * [backup-simplify]: Simplify x into x 5.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.093 * [taylor]: Taking taylor expansion of 2 in y 5.093 * [backup-simplify]: Simplify 2 into 2 5.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.093 * [taylor]: Taking taylor expansion of (* x y) in y 5.093 * [taylor]: Taking taylor expansion of x in y 5.093 * [backup-simplify]: Simplify x into x 5.093 * [taylor]: Taking taylor expansion of y in y 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (* x 0) into 0 5.093 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.093 * [taylor]: Taking taylor expansion of y in x 5.093 * [backup-simplify]: Simplify y into y 5.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.093 * [taylor]: Taking taylor expansion of x in x 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.094 * [backup-simplify]: Simplify (/ 1 1) into 1 5.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.094 * [taylor]: Taking taylor expansion of 2 in x 5.094 * [backup-simplify]: Simplify 2 into 2 5.094 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.094 * [taylor]: Taking taylor expansion of (* x y) in x 5.094 * [taylor]: Taking taylor expansion of x in x 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [taylor]: Taking taylor expansion of y in x 5.094 * [backup-simplify]: Simplify y into y 5.094 * [backup-simplify]: Simplify (* 0 y) into 0 5.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.095 * [taylor]: Taking taylor expansion of y in x 5.095 * [backup-simplify]: Simplify y into y 5.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.096 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.096 * [taylor]: Taking taylor expansion of 2 in x 5.096 * [backup-simplify]: Simplify 2 into 2 5.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.096 * [taylor]: Taking taylor expansion of (* x y) in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.096 * [taylor]: Taking taylor expansion of y in x 5.096 * [backup-simplify]: Simplify y into y 5.097 * [backup-simplify]: Simplify (* 0 y) into 0 5.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.100 * [backup-simplify]: Simplify (+ 1 0) into 1 5.100 * [backup-simplify]: Simplify (+ 0 1) into 1 5.100 * [taylor]: Taking taylor expansion of 1 in y 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.101 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.101 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 5.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.101 * [taylor]: Taking taylor expansion of 2 in y 5.101 * [backup-simplify]: Simplify 2 into 2 5.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.101 * [taylor]: Taking taylor expansion of y in y 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [backup-simplify]: Simplify (/ 1 1) into 1 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.104 * [taylor]: Taking taylor expansion of y in y 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (* 1 1) into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.105 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (* 2 1) into 2 5.106 * [backup-simplify]: Simplify 2 into 2 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.107 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 5.107 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 5.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 5.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.107 * [taylor]: Taking taylor expansion of y in y 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.108 * [backup-simplify]: Simplify (* 1 1) into 1 5.108 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 5.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.108 * [taylor]: Taking taylor expansion of x in y 5.108 * [backup-simplify]: Simplify x into x 5.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.108 * [taylor]: Taking taylor expansion of 2 in y 5.108 * [backup-simplify]: Simplify 2 into 2 5.108 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.108 * [taylor]: Taking taylor expansion of (* x y) in y 5.108 * [taylor]: Taking taylor expansion of x in y 5.108 * [backup-simplify]: Simplify x into x 5.109 * [taylor]: Taking taylor expansion of y in y 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (* x 0) into 0 5.109 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.109 * [taylor]: Taking taylor expansion of y in x 5.109 * [backup-simplify]: Simplify y into y 5.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.109 * [taylor]: Taking taylor expansion of x in x 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (* 1 1) into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.110 * [taylor]: Taking taylor expansion of 2 in x 5.110 * [backup-simplify]: Simplify 2 into 2 5.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.110 * [taylor]: Taking taylor expansion of (* x y) in x 5.110 * [taylor]: Taking taylor expansion of x in x 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [taylor]: Taking taylor expansion of y in x 5.110 * [backup-simplify]: Simplify y into y 5.110 * [backup-simplify]: Simplify (* 0 y) into 0 5.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 5.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.111 * [taylor]: Taking taylor expansion of y in x 5.111 * [backup-simplify]: Simplify y into y 5.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 5.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.111 * [taylor]: Taking taylor expansion of x in x 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (* 1 1) into 1 5.111 * [backup-simplify]: Simplify (/ 1 1) into 1 5.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.111 * [taylor]: Taking taylor expansion of 2 in x 5.111 * [backup-simplify]: Simplify 2 into 2 5.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.112 * [taylor]: Taking taylor expansion of (* x y) in x 5.112 * [taylor]: Taking taylor expansion of x in x 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of y in x 5.112 * [backup-simplify]: Simplify y into y 5.112 * [backup-simplify]: Simplify (* 0 y) into 0 5.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.113 * [backup-simplify]: Simplify (+ 1 0) into 1 5.113 * [backup-simplify]: Simplify (+ 0 1) into 1 5.113 * [taylor]: Taking taylor expansion of 1 in y 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.114 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.114 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 5.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.114 * [taylor]: Taking taylor expansion of 2 in y 5.114 * [backup-simplify]: Simplify 2 into 2 5.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.114 * [taylor]: Taking taylor expansion of y in y 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.118 * [taylor]: Taking taylor expansion of y in y 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.118 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (* 2 1) into 2 5.119 * [backup-simplify]: Simplify 2 into 2 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.119 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.119 * [backup-simplify]: Simplify (* x (+ (+ y x) y)) into (* x (+ x (* 2 y))) 5.119 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 5.120 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 5.120 * [taylor]: Taking taylor expansion of x in y 5.120 * [backup-simplify]: Simplify x into x 5.120 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 5.120 * [taylor]: Taking taylor expansion of x in y 5.120 * [backup-simplify]: Simplify x into x 5.120 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.120 * [taylor]: Taking taylor expansion of 2 in y 5.120 * [backup-simplify]: Simplify 2 into 2 5.120 * [taylor]: Taking taylor expansion of y in y 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.120 * [taylor]: Taking taylor expansion of 2 in x 5.120 * [backup-simplify]: Simplify 2 into 2 5.120 * [taylor]: Taking taylor expansion of y in x 5.120 * [backup-simplify]: Simplify y into y 5.120 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.120 * [taylor]: Taking taylor expansion of 2 in x 5.120 * [backup-simplify]: Simplify 2 into 2 5.120 * [taylor]: Taking taylor expansion of y in x 5.120 * [backup-simplify]: Simplify y into y 5.121 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 5.121 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.121 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 5.121 * [taylor]: Taking taylor expansion of 0 in y 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 5.122 * [backup-simplify]: Simplify (+ 1 0) into 1 5.122 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 5.122 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.122 * [taylor]: Taking taylor expansion of 2 in y 5.123 * [backup-simplify]: Simplify 2 into 2 5.123 * [taylor]: Taking taylor expansion of y in y 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (* 2 0) into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 5.124 * [backup-simplify]: Simplify (+ 0 0) into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 5.125 * [taylor]: Taking taylor expansion of 1 in y 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.126 * [backup-simplify]: Simplify 2 into 2 5.126 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 5.129 * [taylor]: Taking taylor expansion of 0 in y 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.132 * [backup-simplify]: Simplify (+ 0 0) into 0 5.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 5.133 * [taylor]: Taking taylor expansion of 0 in y 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 5.134 * [backup-simplify]: Simplify (* (/ 1 x) (+ (+ (/ 1 y) (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 5.134 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 5.134 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 5.134 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.134 * [taylor]: Taking taylor expansion of x in y 5.134 * [backup-simplify]: Simplify x into x 5.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.134 * [taylor]: Taking taylor expansion of 2 in y 5.134 * [backup-simplify]: Simplify 2 into 2 5.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.134 * [taylor]: Taking taylor expansion of y in y 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (/ 1 1) into 1 5.135 * [taylor]: Taking taylor expansion of x in y 5.135 * [backup-simplify]: Simplify x into x 5.135 * [backup-simplify]: Simplify (* 2 1) into 2 5.136 * [backup-simplify]: Simplify (+ 0 2) into 2 5.136 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 5.136 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.136 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.136 * [taylor]: Taking taylor expansion of x in x 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ 1 1) into 1 5.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.136 * [taylor]: Taking taylor expansion of 2 in x 5.136 * [backup-simplify]: Simplify 2 into 2 5.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.136 * [taylor]: Taking taylor expansion of y in x 5.136 * [backup-simplify]: Simplify y into y 5.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.136 * [taylor]: Taking taylor expansion of x in x 5.136 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (+ 1 0) into 1 5.137 * [backup-simplify]: Simplify (/ 1 1) into 1 5.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.137 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.137 * [taylor]: Taking taylor expansion of x in x 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.138 * [backup-simplify]: Simplify (/ 1 1) into 1 5.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.138 * [taylor]: Taking taylor expansion of 2 in x 5.138 * [backup-simplify]: Simplify 2 into 2 5.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.138 * [taylor]: Taking taylor expansion of y in x 5.138 * [backup-simplify]: Simplify y into y 5.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.138 * [taylor]: Taking taylor expansion of x in x 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [backup-simplify]: Simplify (+ 1 0) into 1 5.139 * [backup-simplify]: Simplify (/ 1 1) into 1 5.139 * [taylor]: Taking taylor expansion of 1 in y 5.139 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.140 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.141 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.141 * [taylor]: Taking taylor expansion of 2 in y 5.141 * [backup-simplify]: Simplify 2 into 2 5.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.141 * [taylor]: Taking taylor expansion of y in y 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [backup-simplify]: Simplify (* 2 1) into 2 5.142 * [backup-simplify]: Simplify 2 into 2 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.143 * [backup-simplify]: Simplify (+ 0 0) into 0 5.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 5.144 * [taylor]: Taking taylor expansion of 0 in y 5.144 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.147 * [backup-simplify]: Simplify (+ 0 0) into 0 5.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.148 * [taylor]: Taking taylor expansion of 0 in y 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.151 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.153 * [taylor]: Taking taylor expansion of 0 in y 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 5.153 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 5.153 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 5.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 5.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.153 * [taylor]: Taking taylor expansion of x in y 5.153 * [backup-simplify]: Simplify x into x 5.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.153 * [taylor]: Taking taylor expansion of 2 in y 5.153 * [backup-simplify]: Simplify 2 into 2 5.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.153 * [taylor]: Taking taylor expansion of y in y 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.154 * [backup-simplify]: Simplify (/ 1 1) into 1 5.154 * [taylor]: Taking taylor expansion of x in y 5.154 * [backup-simplify]: Simplify x into x 5.154 * [backup-simplify]: Simplify (* 2 1) into 2 5.154 * [backup-simplify]: Simplify (+ 0 2) into 2 5.154 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 5.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.155 * [taylor]: Taking taylor expansion of x in x 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.155 * [taylor]: Taking taylor expansion of 2 in x 5.155 * [backup-simplify]: Simplify 2 into 2 5.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.155 * [taylor]: Taking taylor expansion of y in x 5.155 * [backup-simplify]: Simplify y into y 5.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.155 * [taylor]: Taking taylor expansion of x in x 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (+ 1 0) into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.156 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.156 * [taylor]: Taking taylor expansion of x in x 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.156 * [taylor]: Taking taylor expansion of 2 in x 5.156 * [backup-simplify]: Simplify 2 into 2 5.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.156 * [taylor]: Taking taylor expansion of y in x 5.156 * [backup-simplify]: Simplify y into y 5.156 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.156 * [taylor]: Taking taylor expansion of x in x 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (+ 1 0) into 1 5.157 * [backup-simplify]: Simplify (/ 1 1) into 1 5.157 * [taylor]: Taking taylor expansion of 1 in y 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.157 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.158 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.158 * [taylor]: Taking taylor expansion of 2 in y 5.158 * [backup-simplify]: Simplify 2 into 2 5.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.158 * [taylor]: Taking taylor expansion of y in y 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.158 * [backup-simplify]: Simplify (* 2 1) into 2 5.158 * [backup-simplify]: Simplify 2 into 2 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 5.161 * [taylor]: Taking taylor expansion of 0 in y 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.165 * [taylor]: Taking taylor expansion of 0 in y 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.168 * [backup-simplify]: Simplify (+ 0 0) into 0 5.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.169 * [taylor]: Taking taylor expansion of 0 in y 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 5.170 * * * [progress]: simplifying candidates 5.171 * [simplify]: Simplifying: (expm1 (+ (+ y x) y)) (log1p (+ (+ y x) y)) (* (* (exp y) (exp x)) (exp y)) (* (exp (+ y x)) (exp y)) (log (+ (+ y x) y)) (exp (+ (+ y x) y)) (* (cbrt (+ (+ y x) y)) (cbrt (+ (+ y x) y))) (cbrt (+ (+ y x) y)) (* (* (+ (+ y x) y) (+ (+ y x) y)) (+ (+ y x) y)) (sqrt (+ (+ y x) y)) (sqrt (+ (+ y x) y)) (+ (pow (+ y x) 3) (pow y 3)) (+ (* (+ y x) (+ y x)) (- (* y y) (* (+ y x) y))) (- (* (+ y x) (+ y x)) (* y y)) (- (+ y x) y) (+ (+ y x) y) (+ (+ y x) y) (+ x y) (expm1 (+ (* x (+ (+ y x) y)) (* y y))) (log1p (+ (* x (+ (+ y x) y)) (* y y))) (* (exp (* x (+ (+ y x) y))) (exp (* y y))) (log (+ (* x (+ (+ y x) y)) (* y y))) (exp (+ (* x (+ (+ y x) y)) (* y y))) (* (cbrt (+ (* x (+ (+ y x) y)) (* y y))) (cbrt (+ (* x (+ (+ y x) y)) (* y y)))) (cbrt (+ (* x (+ (+ y x) y)) (* y y))) (* (* (+ (* x (+ (+ y x) y)) (* y y)) (+ (* x (+ (+ y x) y)) (* y y))) (+ (* x (+ (+ y x) y)) (* y y))) (sqrt (+ (* x (+ (+ y x) y)) (* y y))) (sqrt (+ (* x (+ (+ y x) y)) (* y y))) (+ (pow (* x (+ (+ y x) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (+ y x) y)) (* x (+ (+ y x) y))) (- (* (* y y) (* y y)) (* (* x (+ (+ y x) y)) (* y y)))) (- (* (* x (+ (+ y x) y)) (* x (+ (+ y x) y))) (* (* y y) (* y y))) (- (* x (+ (+ y x) y)) (* y y)) (+ (* x y) (* y y)) (+ (* y x) (* y y)) (expm1 (* x (+ (+ y x) y))) (log1p (* x (+ (+ y x) y))) (* x (+ (+ y x) y)) (+ (log x) (log (+ (+ y x) y))) (log (* x (+ (+ y x) y))) (exp (* x (+ (+ y x) y))) (* (* (* x x) x) (* (* (+ (+ y x) y) (+ (+ y x) y)) (+ (+ 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))) (* (sqrt x) (sqrt (+ (+ y x) y))) (* (sqrt x) (sqrt (+ (+ y x) y))) (* x (+ y x)) (* x y) (* (+ y x) x) (* y x) (* x (* (cbrt (+ (+ y x) y)) (cbrt (+ (+ y x) y)))) (* x (sqrt (+ (+ y x) y))) (* x 1) (* x 1) (* x 1) (* (cbrt x) (+ (+ y x) y)) (* (sqrt x) (+ (+ y x) y)) (* x (+ (+ y x) y)) (* x (+ (pow (+ y x) 3) (pow y 3))) (* x (- (* (+ y x) (+ y x)) (* y y))) (+ x (* 2 y)) (+ x (* 2 y)) (+ x (* 2 y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 5.173 * * [simplify]: iteration 0: 92 enodes 5.207 * * [simplify]: iteration 1: 300 enodes 5.435 * * [simplify]: iteration 2: 1788 enodes 6.484 * * [simplify]: iteration complete: 5000 enodes 6.484 * * [simplify]: Extracting #0: cost 51 inf + 0 6.488 * * [simplify]: Extracting #1: cost 584 inf + 1 6.500 * * [simplify]: Extracting #2: cost 1738 inf + 4301 6.534 * * [simplify]: Extracting #3: cost 1290 inf + 59282 6.588 * * [simplify]: Extracting #4: cost 330 inf + 222395 6.663 * * [simplify]: Extracting #5: cost 18 inf + 287996 6.742 * * [simplify]: Extracting #6: cost 0 inf + 293461 6.826 * [simplify]: Simplified to: (expm1 (+ y (+ y x))) (log1p (+ y (+ y x))) (exp (+ y (+ y x))) (exp (+ y (+ y x))) (log (+ y (+ y x))) (exp (+ y (+ y x))) (* (cbrt (+ y (+ y x))) (cbrt (+ y (+ y x)))) (cbrt (+ y (+ y x))) (* (+ y (+ y x)) (* (+ y (+ y x)) (+ y (+ y x)))) (sqrt (+ y (+ y x))) (sqrt (+ y (+ y x))) (fma (* (+ y x) (+ y x)) (+ y x) (* y (* y y))) (fma y (- y (+ y x)) (* (+ y x) (+ y x))) (- (* (+ y x) (+ y x)) (* y y)) (+ x 0) (+ y (+ y x)) (+ y (+ y x)) (+ x y) (expm1 (fma (+ y (+ y x)) x (* y y))) (log1p (fma (+ y (+ y x)) x (* y y))) (exp (fma (+ y (+ y x)) x (* y y))) (log (fma (+ y (+ y x)) x (* y y))) (exp (fma (+ y (+ y x)) x (* y y))) (* (cbrt (fma (+ y (+ y x)) x (* y y))) (cbrt (fma (+ y (+ y x)) x (* y y)))) (cbrt (fma (+ y (+ y x)) x (* y y))) (* (* (fma (+ y (+ y x)) x (* y y)) (fma (+ y (+ y x)) x (* y y))) (fma (+ y (+ y x)) x (* y y))) (sqrt (fma (+ y (+ y x)) x (* y y))) (sqrt (fma (+ y (+ y x)) x (* y y))) (fma (* y (* y y)) (* y (* y y)) (* (* (* x (+ (+ y x) y)) (* x (+ (+ y x) y))) (* x (+ (+ y x) y)))) (fma (* y y) (- (* y y) (* x (+ (+ y x) y))) (* (* x (+ (+ y x) y)) (* x (+ (+ y x) y)))) (* (+ (* x (+ (+ y x) y)) (* y y)) (- (* x (+ (+ y x) y)) (* y y))) (- (* x (+ (+ y x) y)) (* y y)) (* y (+ x y)) (* y (+ x y)) (expm1 (* x (+ (+ y x) y))) (log1p (* x (+ (+ y x) y))) (* x (+ (+ y x) y)) (log (* x (+ (+ y 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))) (* (sqrt x) (sqrt (+ y (+ y x)))) (* (sqrt x) (sqrt (+ y (+ y x)))) (* x (+ y x)) (* y x) (* (+ y x) x) (* y x) (* (* (cbrt (+ y (+ y x))) (cbrt (+ y (+ y x)))) x) (* x (sqrt (+ y (+ y x)))) x x x (* (cbrt x) (+ (+ y x) y)) (* (sqrt x) (+ y (+ y x))) (* x (+ (+ y x) y)) (* x (fma (* (+ y x) (+ y x)) (+ y x) (* y (* y y)))) (* x (- (* (+ y x) (+ y x)) (* y y))) (fma y 2 x) (fma y 2 x) (fma y 2 x) (fma (* y x) 2 (fma x x (* y y))) (fma (* y x) 2 (fma x x (* y y))) (fma (* y x) 2 (fma x x (* y y))) (fma (* y x) 2 (* x x)) (fma (* y x) 2 (* x x)) (fma (* y x) 2 (* x x)) 6.831 * * * [progress]: adding candidates to table 7.156 * [progress]: [Phase 3 of 3] Extracting. 7.156 * * [regime]: Finding splitpoints for: (# #) 7.157 * * * [regime-changes]: Trying 2 branch expressions: (y x) 7.157 * * * * [regimes]: Trying to branch on y from (# #) 7.193 * * * * [regimes]: Trying to branch on x from (# #) 7.223 * * * [regime]: Found split indices: #