27.846 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.020 * * [simplify]: iteration 0: 4 enodes 0.021 * * [simplify]: iteration 1: 11 enodes 0.023 * * [simplify]: iteration 2: 27 enodes 0.028 * * [simplify]: iteration 3: 65 enodes 0.044 * * [simplify]: iteration 4: 147 enodes 0.070 * * [simplify]: iteration 5: 243 enodes 0.096 * * [simplify]: iteration 6: 273 enodes 0.132 * * [simplify]: iteration 7: 290 enodes 0.172 * * [simplify]: iteration 8: 292 enodes 0.212 * * [simplify]: iteration complete: 292 enodes 0.212 * * [simplify]: Extracting #0: cost 1 inf + 0 0.213 * * [simplify]: Extracting #1: cost 19 inf + 0 0.213 * * [simplify]: Extracting #2: cost 15 inf + 6 0.213 * * [simplify]: Extracting #3: cost 0 inf + 77 0.213 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.220 * * [progress]: iteration 1 / 4 0.220 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.229 * * * [progress]: generating rewritten candidates 0.229 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.259 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.259 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.259 * [taylor]: Taking taylor expansion of (+ x y) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (+ x 0) into x 0.259 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.259 * [taylor]: Taking taylor expansion of (+ x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [backup-simplify]: Simplify (+ 0 y) into y 0.259 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.259 * [taylor]: Taking taylor expansion of (+ x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (+ 0 y) into y 0.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.261 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.261 * [taylor]: Taking taylor expansion of 2 in y 0.261 * [backup-simplify]: Simplify 2 into 2 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 2 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.263 * [backup-simplify]: Simplify 2 into 2 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [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)))) 0.264 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.264 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [backup-simplify]: Simplify x into x 0.264 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.265 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.269 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of 2 in y 0.269 * [backup-simplify]: Simplify 2 into 2 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 2 1) into 2 0.273 * [backup-simplify]: Simplify 2 into 2 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [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)))) 0.274 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.274 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [backup-simplify]: Simplify x into x 0.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [backup-simplify]: Simplify y into y 0.276 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.278 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.278 * [taylor]: Taking taylor expansion of 2 in y 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 2 1) into 2 0.282 * [backup-simplify]: Simplify 2 into 2 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [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)))) 0.283 * * * [progress]: simplifying candidates 0.284 * [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)))) 0.288 * * [simplify]: iteration 0: 64 enodes 0.313 * * [simplify]: iteration 1: 232 enodes 0.515 * * [simplify]: iteration 2: 1738 enodes 1.409 * * [simplify]: iteration complete: 5001 enodes 1.409 * * [simplify]: Extracting #0: cost 28 inf + 0 1.411 * * [simplify]: Extracting #1: cost 764 inf + 2 1.417 * * [simplify]: Extracting #2: cost 1614 inf + 208 1.425 * * [simplify]: Extracting #3: cost 1348 inf + 5828 1.434 * * [simplify]: Extracting #4: cost 95 inf + 16837 1.461 * * [simplify]: Extracting #5: cost 1 inf + 17656 1.475 * * [simplify]: Extracting #6: cost 0 inf + 17661 1.489 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* (log (+ x y)) 2) (* (log (+ x y)) 2) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (fma y (- y x) (pow x 2))) (* (+ (pow x 3) (pow y 3)) (fma x x (- (pow y 2)))) (* (fma y (- y x) (pow x 2)) (- x y)) (* (+ (pow x 3) (pow y 3)) (fma x x (- (pow y 2)))) (* (fma y (- y x) (pow x 2)) (- 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)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (fma x x (- (pow y 2))) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (fma x x (- (pow y 2))) (+ x y)) (fma 2 (* x y) (fma x x (pow y 2))) (fma 2 (* x y) (fma x x (pow y 2))) (fma 2 (* x y) (fma x x (pow y 2))) 1.490 * * * [progress]: adding candidates to table 1.656 * * [progress]: iteration 2 / 4 1.656 * * * [progress]: picking best candidate 1.680 * * * * [pick]: Picked # 1.680 * * * [progress]: localizing error 1.699 * * * [progress]: generating rewritten candidates 1.699 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.715 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.735 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.756 * * * [progress]: generating series expansions 1.756 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.756 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.756 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 1.756 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [backup-simplify]: Simplify x into x 1.756 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.756 * [taylor]: Taking taylor expansion of 2 in y 1.756 * [backup-simplify]: Simplify 2 into 2 1.756 * [taylor]: Taking taylor expansion of (* x y) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [backup-simplify]: Simplify x into x 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [backup-simplify]: Simplify y into y 1.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.756 * [taylor]: Taking taylor expansion of 2 in x 1.756 * [backup-simplify]: Simplify 2 into 2 1.756 * [taylor]: Taking taylor expansion of (* x y) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [backup-simplify]: Simplify y into y 1.756 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [backup-simplify]: Simplify y into y 1.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.757 * [taylor]: Taking taylor expansion of 2 in x 1.757 * [backup-simplify]: Simplify 2 into 2 1.757 * [taylor]: Taking taylor expansion of (* x y) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of y in x 1.757 * [backup-simplify]: Simplify y into y 1.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.757 * [backup-simplify]: Simplify (* 0 y) into 0 1.757 * [backup-simplify]: Simplify (* 2 0) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.758 * [taylor]: Taking taylor expansion of y in y 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.758 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.758 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.759 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.759 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.759 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.759 * [taylor]: Taking taylor expansion of 2 in y 1.759 * [backup-simplify]: Simplify 2 into 2 1.759 * [taylor]: Taking taylor expansion of y in y 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (* 2 0) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.760 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.761 * [backup-simplify]: Simplify (+ 1 0) into 1 1.761 * [backup-simplify]: Simplify (+ 0 1) into 1 1.761 * [taylor]: Taking taylor expansion of 1 in y 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.762 * [backup-simplify]: Simplify 2 into 2 1.762 * [backup-simplify]: Simplify (* 1 1) into 1 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [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)))) 1.763 * [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))))) 1.763 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.763 * [taylor]: Taking taylor expansion of x in y 1.763 * [backup-simplify]: Simplify x into x 1.763 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.763 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.764 * [taylor]: Taking taylor expansion of 2 in y 1.764 * [backup-simplify]: Simplify 2 into 2 1.764 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.764 * [taylor]: Taking taylor expansion of (* x y) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [backup-simplify]: Simplify x into x 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* x 0) into 0 1.764 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.764 * [taylor]: Taking taylor expansion of y in x 1.764 * [backup-simplify]: Simplify y into y 1.764 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.764 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.765 * [taylor]: Taking taylor expansion of 2 in x 1.765 * [backup-simplify]: Simplify 2 into 2 1.765 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.765 * [taylor]: Taking taylor expansion of (* x y) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [backup-simplify]: Simplify y into y 1.765 * [backup-simplify]: Simplify (* 0 y) into 0 1.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.765 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [backup-simplify]: Simplify y into y 1.765 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.766 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.766 * [taylor]: Taking taylor expansion of 2 in x 1.766 * [backup-simplify]: Simplify 2 into 2 1.766 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.766 * [taylor]: Taking taylor expansion of (* x y) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [taylor]: Taking taylor expansion of y in x 1.766 * [backup-simplify]: Simplify y into y 1.766 * [backup-simplify]: Simplify (* 0 y) into 0 1.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.767 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (+ 0 1) into 1 1.767 * [taylor]: Taking taylor expansion of 1 in y 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.768 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.768 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.768 * [taylor]: Taking taylor expansion of 2 in y 1.768 * [backup-simplify]: Simplify 2 into 2 1.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.771 * [taylor]: Taking taylor expansion of y in y 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* 1 1) into 1 1.772 * [backup-simplify]: Simplify (/ 1 1) into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* 2 1) into 2 1.772 * [backup-simplify]: Simplify 2 into 2 1.772 * [backup-simplify]: Simplify 1 into 1 1.773 * [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)))) 1.773 * [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))))) 1.773 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.774 * [taylor]: Taking taylor expansion of x in y 1.774 * [backup-simplify]: Simplify x into x 1.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.774 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.774 * [taylor]: Taking taylor expansion of 2 in y 1.774 * [backup-simplify]: Simplify 2 into 2 1.774 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.774 * [taylor]: Taking taylor expansion of (* x y) in y 1.774 * [taylor]: Taking taylor expansion of x in y 1.774 * [backup-simplify]: Simplify x into x 1.774 * [taylor]: Taking taylor expansion of y in y 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (* x 0) into 0 1.774 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.774 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.774 * [taylor]: Taking taylor expansion of y in x 1.774 * [backup-simplify]: Simplify y into y 1.774 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.775 * [taylor]: Taking taylor expansion of 2 in x 1.775 * [backup-simplify]: Simplify 2 into 2 1.775 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.775 * [taylor]: Taking taylor expansion of (* x y) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of y in x 1.775 * [backup-simplify]: Simplify y into y 1.775 * [backup-simplify]: Simplify (* 0 y) into 0 1.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.776 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.776 * [taylor]: Taking taylor expansion of y in x 1.776 * [backup-simplify]: Simplify y into y 1.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.776 * [taylor]: Taking taylor expansion of x in x 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (* 1 1) into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.777 * [taylor]: Taking taylor expansion of 2 in x 1.777 * [backup-simplify]: Simplify 2 into 2 1.777 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.777 * [taylor]: Taking taylor expansion of (* x y) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of y in x 1.777 * [backup-simplify]: Simplify y into y 1.777 * [backup-simplify]: Simplify (* 0 y) into 0 1.777 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.777 * [backup-simplify]: Simplify (+ 1 0) into 1 1.778 * [backup-simplify]: Simplify (+ 0 1) into 1 1.778 * [taylor]: Taking taylor expansion of 1 in y 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.779 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.779 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.779 * [taylor]: Taking taylor expansion of 2 in y 1.779 * [backup-simplify]: Simplify 2 into 2 1.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.779 * [taylor]: Taking taylor expansion of y in y 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.782 * [taylor]: Taking taylor expansion of y in y 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (* 1 1) into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (* 2 1) into 2 1.782 * [backup-simplify]: Simplify 2 into 2 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [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)))) 1.783 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.783 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 1.783 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 1.783 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 1.783 * [taylor]: Taking taylor expansion of x in y 1.783 * [backup-simplify]: Simplify x into x 1.783 * [taylor]: Taking taylor expansion of (+ x y) in y 1.783 * [taylor]: Taking taylor expansion of x in y 1.783 * [backup-simplify]: Simplify x into x 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (+ x y) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [backup-simplify]: Simplify y into y 1.783 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (+ x y) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [backup-simplify]: Simplify y into y 1.784 * [backup-simplify]: Simplify (+ 0 y) into y 1.784 * [backup-simplify]: Simplify (* 0 y) into 0 1.784 * [taylor]: Taking taylor expansion of 0 in y 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 1.784 * [taylor]: Taking taylor expansion of y in y 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 1.785 * [taylor]: Taking taylor expansion of 1 in y 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 1.788 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.788 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.788 * [taylor]: Taking taylor expansion of x in y 1.788 * [backup-simplify]: Simplify x into x 1.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.788 * [taylor]: Taking taylor expansion of y in y 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [backup-simplify]: Simplify x into x 1.789 * [backup-simplify]: Simplify (+ 0 1) into 1 1.789 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.789 * [taylor]: Taking taylor expansion of y in x 1.789 * [backup-simplify]: Simplify y into y 1.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (+ 1 0) into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.790 * [taylor]: Taking taylor expansion of y in x 1.790 * [backup-simplify]: Simplify y into y 1.790 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (+ 1 0) into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of 1 in y 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.792 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.792 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.794 * [taylor]: Taking taylor expansion of 0 in y 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [taylor]: Taking taylor expansion of 0 in y 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 1.800 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.800 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.800 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.800 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.800 * [taylor]: Taking taylor expansion of x in y 1.800 * [backup-simplify]: Simplify x into x 1.800 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.800 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.800 * [taylor]: Taking taylor expansion of y in y 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of x in y 1.801 * [backup-simplify]: Simplify x into x 1.801 * [backup-simplify]: Simplify (+ 0 1) into 1 1.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.801 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.801 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.801 * [taylor]: Taking taylor expansion of y in x 1.801 * [backup-simplify]: Simplify y into y 1.801 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (+ 1 0) into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.802 * [taylor]: Taking taylor expansion of y in x 1.802 * [backup-simplify]: Simplify y into y 1.802 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (+ 1 0) into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [taylor]: Taking taylor expansion of 1 in y 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.804 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.804 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.806 * [taylor]: Taking taylor expansion of 0 in y 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [taylor]: Taking taylor expansion of 0 in y 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 1.813 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.813 * [backup-simplify]: Simplify (* y (+ x y)) into (* (+ x y) y) 1.813 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (y x) around 0 1.814 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 1.814 * [taylor]: Taking taylor expansion of (+ x y) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [backup-simplify]: Simplify y into y 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [backup-simplify]: Simplify y into y 1.814 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 1.814 * [taylor]: Taking taylor expansion of (+ x y) in y 1.814 * [taylor]: Taking taylor expansion of x in y 1.814 * [backup-simplify]: Simplify x into x 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 1.814 * [taylor]: Taking taylor expansion of (+ x y) in y 1.814 * [taylor]: Taking taylor expansion of x in y 1.814 * [backup-simplify]: Simplify x into x 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (+ x 0) into x 1.814 * [backup-simplify]: Simplify (* x 0) into 0 1.814 * [taylor]: Taking taylor expansion of 0 in x 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ 0 1) into 1 1.816 * [backup-simplify]: Simplify (+ (* x 1) (* 1 0)) into x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 0))) into 1 1.817 * [taylor]: Taking taylor expansion of 1 in x 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.819 * [taylor]: Taking taylor expansion of 0 in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 1.820 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 1.820 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 1.820 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.820 * [taylor]: Taking taylor expansion of y in x 1.820 * [backup-simplify]: Simplify y into y 1.821 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.821 * [taylor]: Taking taylor expansion of y in x 1.821 * [backup-simplify]: Simplify y into y 1.821 * [backup-simplify]: Simplify (+ 1 0) into 1 1.821 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.821 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [backup-simplify]: Simplify x into x 1.821 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.821 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ 1 1) into 1 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (+ 0 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.822 * [taylor]: Taking taylor expansion of x in y 1.822 * [backup-simplify]: Simplify x into x 1.822 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.822 * [taylor]: Taking taylor expansion of y in y 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [taylor]: Taking taylor expansion of y in y 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (+ 0 1) into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [taylor]: Taking taylor expansion of 1 in x 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 1.824 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.826 * [taylor]: Taking taylor expansion of 0 in x 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in x 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [taylor]: Taking taylor expansion of 0 in x 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 1.832 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 x) (/ 1 y)) y) 1.832 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 1.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 1.832 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.832 * [taylor]: Taking taylor expansion of y in x 1.832 * [backup-simplify]: Simplify y into y 1.832 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.832 * [taylor]: Taking taylor expansion of y in x 1.832 * [backup-simplify]: Simplify y into y 1.833 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.833 * [taylor]: Taking taylor expansion of x in y 1.833 * [backup-simplify]: Simplify x into x 1.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.833 * [taylor]: Taking taylor expansion of y in y 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [taylor]: Taking taylor expansion of y in y 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (+ 0 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.834 * [taylor]: Taking taylor expansion of x in y 1.834 * [backup-simplify]: Simplify x into x 1.834 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.834 * [taylor]: Taking taylor expansion of y in y 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of y in y 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (+ 0 1) into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [taylor]: Taking taylor expansion of 1 in x 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 1.836 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.838 * [taylor]: Taking taylor expansion of 0 in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [taylor]: Taking taylor expansion of 0 in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [taylor]: Taking taylor expansion of 0 in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 1.844 * * * [progress]: simplifying candidates 1.845 * [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)) 1.846 * * [simplify]: iteration 0: 117 enodes 1.882 * * [simplify]: iteration 1: 408 enodes 2.332 * * [simplify]: iteration 2: 2641 enodes 4.228 * * [simplify]: iteration complete: 5000 enodes 4.228 * * [simplify]: Extracting #0: cost 63 inf + 0 4.231 * * [simplify]: Extracting #1: cost 797 inf + 14 4.238 * * [simplify]: Extracting #2: cost 1123 inf + 2467 4.247 * * [simplify]: Extracting #3: cost 324 inf + 10039 4.256 * * [simplify]: Extracting #4: cost 81 inf + 11958 4.270 * * [simplify]: Extracting #5: cost 16 inf + 12326 4.279 * * [simplify]: Extracting #6: cost 0 inf + 12420 4.287 * [simplify]: Simplified to: (expm1 (* (+ y x) (+ x y))) (log1p (* (+ y x) (+ x y))) (pow (exp (+ x y)) (+ y x)) (log (* (+ y x) (+ x y))) (pow (exp (+ x y)) (+ y x)) (* (cbrt (* (+ y x) (+ x y))) (cbrt (* (+ y x) (+ x y)))) (cbrt (* (+ y x) (+ x y))) (pow (* (+ y x) (+ x y)) 3) (sqrt (* (+ y x) (+ x y))) (sqrt (* (+ y x) (+ x y))) (* (fma (- y x) y (* x x)) (fma x (+ (pow y 3) (pow x 3)) (* (+ (pow y 3) (pow x 3)) 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) (+ (pow y 3) (pow x 3)))) (* (fma (- y x) y (* x x)) (- x y)) (fma (* (* (+ x y) (- x y)) x) (fma (- y x) y (* x x)) (* (* (+ (pow y 3) (pow x 3)) (- 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)) (* (pow (+ y x) 3) (+ (pow y 3) (pow x 3))) (fma (* (* y (+ y x)) (+ y x)) (- y x) (* (* x x) (* (+ y x) (+ y x)))) (* (* (+ y x) (- x y)) (* (+ y x) (+ x y))) (* (+ 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))) (pow (exp x) (+ y x)) (pow (* x (+ y x)) 3) (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x)))) (cbrt (* x (+ y x))) (pow (* x (+ y x)) 3) (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 (+ (pow y 3) (pow x 3))) (* (* (+ x y) (- x y)) x) (expm1 (* y (+ y x))) (log1p (* y (+ y x))) (* y (+ y x)) (log (* y (+ y x))) (log (* y (+ y x))) (pow (exp y) (+ y x)) (pow (* y (+ y x)) 3) (* (cbrt (* y (+ y x))) (cbrt (* y (+ y x)))) (cbrt (* y (+ y x))) (pow (* y (+ y x)) 3) (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)) (* (+ (pow y 3) (pow x 3)) 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)) 4.288 * * * [progress]: adding candidates to table 4.686 * * [progress]: iteration 3 / 4 4.686 * * * [progress]: picking best candidate 4.702 * * * * [pick]: Picked # 4.702 * * * [progress]: localizing error 4.716 * * * [progress]: generating rewritten candidates 4.716 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.716 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 4.733 * * * [progress]: generating series expansions 4.733 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.734 * [backup-simplify]: Simplify (fma x (+ x y) (* y (+ x y))) into (fma x (+ x y) (* (+ x y) y)) 4.734 * [approximate]: Taking taylor expansion of (fma x (+ x y) (* (+ x y) y)) in (x y) around 0 4.734 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* (+ x y) y)) in y 4.734 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* (+ x y) y)) 4.734 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 4.734 * [taylor]: Taking taylor expansion of x in y 4.734 * [backup-simplify]: Simplify x into x 4.734 * [taylor]: Taking taylor expansion of (+ x y) in y 4.734 * [taylor]: Taking taylor expansion of x in y 4.734 * [backup-simplify]: Simplify x into x 4.734 * [taylor]: Taking taylor expansion of y in y 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 4.734 * [taylor]: Taking taylor expansion of (+ x y) in y 4.734 * [taylor]: Taking taylor expansion of x in y 4.734 * [backup-simplify]: Simplify x into x 4.734 * [taylor]: Taking taylor expansion of y in y 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of y in y 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* (+ x y) y)) in x 4.734 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* (+ x y) y)) 4.734 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.734 * [taylor]: Taking taylor expansion of x in x 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of (+ x y) in x 4.734 * [taylor]: Taking taylor expansion of x in x 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of y in x 4.734 * [backup-simplify]: Simplify y into y 4.734 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.734 * [taylor]: Taking taylor expansion of (+ x y) in x 4.734 * [taylor]: Taking taylor expansion of x in x 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of y in x 4.734 * [backup-simplify]: Simplify y into y 4.734 * [taylor]: Taking taylor expansion of y in x 4.734 * [backup-simplify]: Simplify y into y 4.735 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* (+ x y) y)) in x 4.735 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* (+ x y) y)) 4.735 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.735 * [taylor]: Taking taylor expansion of x in x 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of (+ x y) in x 4.735 * [taylor]: Taking taylor expansion of x in x 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of y in x 4.735 * [backup-simplify]: Simplify y into y 4.735 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.735 * [taylor]: Taking taylor expansion of (+ x y) in x 4.735 * [taylor]: Taking taylor expansion of x in x 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of y in x 4.735 * [backup-simplify]: Simplify y into y 4.735 * [taylor]: Taking taylor expansion of y in x 4.735 * [backup-simplify]: Simplify y into y 4.735 * [backup-simplify]: Simplify (+ 0 y) into y 4.735 * [backup-simplify]: Simplify (* 0 y) into 0 4.735 * [backup-simplify]: Simplify (+ 0 y) into y 4.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.735 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.735 * [taylor]: Taking taylor expansion of y in y 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.736 * [backup-simplify]: Simplify (+ 1 0) into 1 4.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 4.737 * [backup-simplify]: Simplify (+ 1 0) into 1 4.737 * [backup-simplify]: Simplify (+ (* y 0) (* 1 y)) into y 4.737 * [backup-simplify]: Simplify (+ y y) into (* 2 y) 4.737 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.737 * [taylor]: Taking taylor expansion of 2 in y 4.737 * [backup-simplify]: Simplify 2 into 2 4.737 * [taylor]: Taking taylor expansion of y in y 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (* 2 0) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 4.739 * [backup-simplify]: Simplify (+ 0 0) into 0 4.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (* 0 y))) into 0 4.739 * [backup-simplify]: Simplify (+ 1 0) into 1 4.739 * [taylor]: Taking taylor expansion of 1 in y 4.739 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.740 * [backup-simplify]: Simplify 2 into 2 4.740 * [backup-simplify]: Simplify (* 1 1) into 1 4.740 * [backup-simplify]: Simplify 1 into 1 4.741 * [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)))) 4.741 * [backup-simplify]: Simplify (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.741 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 4.741 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) y)) in y 4.741 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) in y 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.741 * [taylor]: Taking taylor expansion of x in y 4.741 * [backup-simplify]: Simplify x into x 4.741 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.741 * [taylor]: Taking taylor expansion of x in y 4.741 * [backup-simplify]: Simplify x into x 4.741 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.741 * [taylor]: Taking taylor expansion of y in y 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.742 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.742 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.742 * [taylor]: Taking taylor expansion of x in y 4.742 * [backup-simplify]: Simplify x into x 4.742 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.742 * [taylor]: Taking taylor expansion of y in y 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of y in y 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (+ 0 1) into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 4.743 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) in x 4.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [backup-simplify]: Simplify y into y 4.744 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.744 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.744 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.744 * [taylor]: Taking taylor expansion of x in x 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [backup-simplify]: Simplify y into y 4.744 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [backup-simplify]: Simplify y into y 4.744 * [backup-simplify]: Simplify (+ 1 0) into 1 4.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.745 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 4.745 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.745 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (/ 1 1) into 1 4.745 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (/ 1 1) into 1 4.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.745 * [taylor]: Taking taylor expansion of y in x 4.745 * [backup-simplify]: Simplify y into y 4.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.745 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.746 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.746 * [taylor]: Taking taylor expansion of x in x 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (/ 1 1) into 1 4.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.746 * [taylor]: Taking taylor expansion of y in x 4.746 * [backup-simplify]: Simplify y into y 4.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.746 * [taylor]: Taking taylor expansion of y in x 4.746 * [backup-simplify]: Simplify y into y 4.746 * [backup-simplify]: Simplify (+ 1 0) into 1 4.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.747 * [backup-simplify]: Simplify (+ 1 0) into 1 4.747 * [backup-simplify]: Simplify (* 1 1) into 1 4.747 * [backup-simplify]: Simplify (+ 1 0) into 1 4.747 * [taylor]: Taking taylor expansion of 1 in y 4.747 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 4.749 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 y)) into (* 2 (/ 1 y)) 4.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.749 * [taylor]: Taking taylor expansion of 2 in y 4.749 * [backup-simplify]: Simplify 2 into 2 4.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.749 * [taylor]: Taking taylor expansion of y in y 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 1 into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.752 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.752 * [taylor]: Taking taylor expansion of y in y 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (* 1 1) into 1 4.753 * [backup-simplify]: Simplify (/ 1 1) into 1 4.753 * [backup-simplify]: Simplify 1 into 1 4.753 * [backup-simplify]: Simplify (* 2 1) into 2 4.753 * [backup-simplify]: Simplify 2 into 2 4.753 * [backup-simplify]: Simplify 1 into 1 4.753 * [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)))) 4.754 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (fma (/ -1 x) (- (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.754 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 4.754 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) in y 4.754 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.754 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) in y 4.754 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.754 * [taylor]: Taking taylor expansion of -1 in y 4.754 * [backup-simplify]: Simplify -1 into -1 4.754 * [taylor]: Taking taylor expansion of x in y 4.754 * [backup-simplify]: Simplify x into x 4.754 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.754 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in y 4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.754 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.754 * [taylor]: Taking taylor expansion of x in y 4.754 * [backup-simplify]: Simplify x into x 4.754 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.754 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.754 * [taylor]: Taking taylor expansion of y in y 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.755 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.755 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.755 * [taylor]: Taking taylor expansion of x in y 4.755 * [backup-simplify]: Simplify x into x 4.755 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.755 * [taylor]: Taking taylor expansion of y in y 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of y in y 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (+ 0 1) into 1 4.756 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 4.756 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.756 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) in x 4.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.756 * [taylor]: Taking taylor expansion of -1 in x 4.756 * [backup-simplify]: Simplify -1 into -1 4.756 * [taylor]: Taking taylor expansion of x in x 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (/ -1 1) into -1 4.756 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in x 4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.756 * [taylor]: Taking taylor expansion of x in x 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.757 * [taylor]: Taking taylor expansion of y in x 4.757 * [backup-simplify]: Simplify y into y 4.757 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.757 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.757 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.757 * [taylor]: Taking taylor expansion of x in x 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.757 * [taylor]: Taking taylor expansion of y in x 4.757 * [backup-simplify]: Simplify y into y 4.757 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.757 * [taylor]: Taking taylor expansion of y in x 4.757 * [backup-simplify]: Simplify y into y 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.757 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.757 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 x) (/ 1 y))) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 4.758 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 x) (/ 1 y)) y)) 4.758 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 x) (/ 1 y)))) in x 4.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.758 * [taylor]: Taking taylor expansion of -1 in x 4.758 * [backup-simplify]: Simplify -1 into -1 4.758 * [taylor]: Taking taylor expansion of x in x 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (/ -1 1) into -1 4.758 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in x 4.758 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.758 * [taylor]: Taking taylor expansion of x in x 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (/ 1 1) into 1 4.758 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.758 * [taylor]: Taking taylor expansion of y in x 4.758 * [backup-simplify]: Simplify y into y 4.759 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.759 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.759 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.759 * [taylor]: Taking taylor expansion of x in x 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.759 * [taylor]: Taking taylor expansion of y in x 4.759 * [backup-simplify]: Simplify y into y 4.759 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.759 * [taylor]: Taking taylor expansion of y in x 4.759 * [backup-simplify]: Simplify y into y 4.759 * [backup-simplify]: Simplify (+ 1 0) into 1 4.759 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.760 * [backup-simplify]: Simplify (+ 1 0) into 1 4.760 * [backup-simplify]: Simplify (- 1) into -1 4.760 * [backup-simplify]: Simplify (* -1 -1) into 1 4.760 * [backup-simplify]: Simplify (+ 1 0) into 1 4.760 * [taylor]: Taking taylor expansion of 1 in y 4.760 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.761 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (- 1) into -1 4.762 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 y))) (* 0 -1)) into (/ 1 y) 4.762 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 y)) into (* 2 (/ 1 y)) 4.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.762 * [taylor]: Taking taylor expansion of 2 in y 4.762 * [backup-simplify]: Simplify 2 into 2 4.762 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.762 * [taylor]: Taking taylor expansion of y in y 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (/ 1 1) into 1 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.764 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (- 1) into -1 4.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (/ 1 y))) (* 0 -1))) into 0 4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.766 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.766 * [taylor]: Taking taylor expansion of y in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* 1 1) into 1 4.767 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* 2 1) into 2 4.767 * [backup-simplify]: Simplify 2 into 2 4.767 * [backup-simplify]: Simplify 1 into 1 4.768 * [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)))) 4.768 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 4.768 * [backup-simplify]: Simplify (* y (+ x y)) into (* (+ x y) y) 4.768 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (y x) around 0 4.768 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.768 * [taylor]: Taking taylor expansion of (+ x y) in x 4.768 * [taylor]: Taking taylor expansion of x in x 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of y in x 4.768 * [backup-simplify]: Simplify y into y 4.768 * [taylor]: Taking taylor expansion of y in x 4.768 * [backup-simplify]: Simplify y into y 4.768 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 4.768 * [taylor]: Taking taylor expansion of (+ x y) in y 4.768 * [taylor]: Taking taylor expansion of x in y 4.768 * [backup-simplify]: Simplify x into x 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 4.768 * [taylor]: Taking taylor expansion of (+ x y) in y 4.768 * [taylor]: Taking taylor expansion of x in y 4.768 * [backup-simplify]: Simplify x into x 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (+ x 0) into x 4.768 * [backup-simplify]: Simplify (* x 0) into 0 4.768 * [taylor]: Taking taylor expansion of 0 in x 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (+ 0 1) into 1 4.769 * [backup-simplify]: Simplify (+ (* x 1) (* 1 0)) into x 4.769 * [taylor]: Taking taylor expansion of x in x 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 0))) into 1 4.770 * [taylor]: Taking taylor expansion of 1 in x 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.771 * [taylor]: Taking taylor expansion of 0 in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.772 * [taylor]: Taking taylor expansion of 0 in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 4.772 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.772 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 4.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.772 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.773 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.773 * [taylor]: Taking taylor expansion of x in y 4.773 * [backup-simplify]: Simplify x into x 4.773 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.773 * [taylor]: Taking taylor expansion of y in y 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [taylor]: Taking taylor expansion of y in y 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (+ 0 1) into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.774 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.774 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.774 * [taylor]: Taking taylor expansion of x in y 4.774 * [backup-simplify]: Simplify x into x 4.774 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.775 * [taylor]: Taking taylor expansion of y in y 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (/ 1 1) into 1 4.775 * [taylor]: Taking taylor expansion of y in y 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (+ 0 1) into 1 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [taylor]: Taking taylor expansion of 1 in x 4.776 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 4.777 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 4.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.777 * [taylor]: Taking taylor expansion of x in x 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (/ 1 1) into 1 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (+ 0 0) into 0 4.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 4.780 * [taylor]: Taking taylor expansion of 0 in x 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [taylor]: Taking taylor expansion of 0 in x 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.790 * [taylor]: Taking taylor expansion of 0 in x 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 4.790 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.790 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 4.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.790 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.790 * [taylor]: Taking taylor expansion of x in x 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (/ 1 1) into 1 4.791 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.791 * [taylor]: Taking taylor expansion of y in x 4.791 * [backup-simplify]: Simplify y into y 4.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.791 * [taylor]: Taking taylor expansion of y in x 4.791 * [backup-simplify]: Simplify y into y 4.792 * [backup-simplify]: Simplify (+ 1 0) into 1 4.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.792 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.792 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.792 * [taylor]: Taking taylor expansion of x in y 4.792 * [backup-simplify]: Simplify x into x 4.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.792 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.792 * [taylor]: Taking taylor expansion of y in y 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [backup-simplify]: Simplify (/ 1 1) into 1 4.792 * [taylor]: Taking taylor expansion of y in y 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (+ 0 1) into 1 4.793 * [backup-simplify]: Simplify (/ 1 1) into 1 4.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.793 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.793 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.793 * [taylor]: Taking taylor expansion of x in y 4.793 * [backup-simplify]: Simplify x into x 4.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.793 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.793 * [taylor]: Taking taylor expansion of y in y 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (/ 1 1) into 1 4.794 * [taylor]: Taking taylor expansion of y in y 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (+ 0 1) into 1 4.795 * [backup-simplify]: Simplify (/ 1 1) into 1 4.795 * [taylor]: Taking taylor expansion of 1 in x 4.795 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 4.796 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 4.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ 1 1) into 1 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 4.799 * [taylor]: Taking taylor expansion of 0 in x 4.799 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.801 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.802 * [taylor]: Taking taylor expansion of 0 in x 4.802 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.810 * [taylor]: Taking taylor expansion of 0 in x 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 4.811 * * * [progress]: simplifying candidates 4.811 * [simplify]: Simplifying: (expm1 (fma x (+ x y) (* y (+ x y)))) (log1p (fma x (+ x y) (* y (+ x y)))) (* x (+ x y)) (log (fma x (+ x y) (* y (+ x y)))) (exp (fma x (+ x y) (* y (+ x y)))) (* (cbrt (fma x (+ x y) (* y (+ x y)))) (cbrt (fma x (+ x y) (* y (+ x y))))) (cbrt (fma x (+ x y) (* y (+ x y)))) (* (* (fma x (+ x y) (* y (+ x y))) (fma x (+ x y) (* y (+ x y)))) (fma x (+ x y) (* y (+ x y)))) (sqrt (fma x (+ x y) (* y (+ x y)))) (sqrt (fma x (+ x y) (* y (+ x 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 y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 4.812 * * [simplify]: iteration 0: 61 enodes 4.827 * * [simplify]: iteration 1: 172 enodes 4.929 * * [simplify]: iteration 2: 950 enodes 5.327 * * [simplify]: iteration complete: 5000 enodes 5.328 * * [simplify]: Extracting #0: cost 32 inf + 0 5.329 * * [simplify]: Extracting #1: cost 606 inf + 1 5.336 * * [simplify]: Extracting #2: cost 1562 inf + 606 5.345 * * [simplify]: Extracting #3: cost 2088 inf + 2522 5.368 * * [simplify]: Extracting #4: cost 610 inf + 15439 5.382 * * [simplify]: Extracting #5: cost 22 inf + 21616 5.395 * * [simplify]: Extracting #6: cost 0 inf + 21833 5.408 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (* x (+ x y)) (log (* (+ x y) (+ x y))) (pow (exp (+ x y)) (+ x y)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (pow (exp y) (+ x y)) (* (pow y 3) (pow (+ x y) 3)) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* y x) (* y y) (* (* (cbrt (+ x y)) (cbrt (+ x y))) y) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* (+ x y) (* (- x y) y)) (fma x x (fma 2 (* x y) (* y y))) (fma x x (fma 2 (* x y) (* y y))) (fma x x (fma 2 (* x y) (* y y))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 5.409 * * * [progress]: adding candidates to table 5.604 * * [progress]: iteration 4 / 4 5.604 * * * [progress]: picking best candidate 5.615 * * * * [pick]: Picked # 5.615 * * * [progress]: localizing error 5.631 * * * [progress]: generating rewritten candidates 5.631 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 5.632 * * * [progress]: generating series expansions 5.632 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 5.632 * [backup-simplify]: Simplify (fma 2 (* x y) (* y y)) into (fma 2 (* x y) (pow y 2)) 5.632 * [approximate]: Taking taylor expansion of (fma 2 (* x y) (pow y 2)) in (x y) around 0 5.633 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (pow y 2)) in y 5.637 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (pow y 2)) 5.637 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.637 * [taylor]: Taking taylor expansion of 2 in y 5.637 * [backup-simplify]: Simplify 2 into 2 5.637 * [taylor]: Taking taylor expansion of (* x y) in y 5.637 * [taylor]: Taking taylor expansion of x in y 5.637 * [backup-simplify]: Simplify x into x 5.637 * [taylor]: Taking taylor expansion of y in y 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.638 * [taylor]: Taking taylor expansion of y in y 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (pow y 2)) in x 5.638 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (pow y 2)) 5.638 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.638 * [taylor]: Taking taylor expansion of 2 in x 5.638 * [backup-simplify]: Simplify 2 into 2 5.638 * [taylor]: Taking taylor expansion of (* x y) in x 5.638 * [taylor]: Taking taylor expansion of x in x 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of y in x 5.638 * [backup-simplify]: Simplify y into y 5.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.638 * [taylor]: Taking taylor expansion of y in x 5.638 * [backup-simplify]: Simplify y into y 5.638 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (pow y 2)) in x 5.638 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (pow y 2)) 5.638 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.638 * [taylor]: Taking taylor expansion of 2 in x 5.638 * [backup-simplify]: Simplify 2 into 2 5.638 * [taylor]: Taking taylor expansion of (* x y) in x 5.638 * [taylor]: Taking taylor expansion of x in x 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of y in x 5.638 * [backup-simplify]: Simplify y into y 5.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.638 * [taylor]: Taking taylor expansion of y in x 5.638 * [backup-simplify]: Simplify y into y 5.639 * [backup-simplify]: Simplify (* 0 y) into 0 5.639 * [backup-simplify]: Simplify (* 2 0) into 0 5.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.640 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.640 * [taylor]: Taking taylor expansion of y in y 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.641 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 5.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.641 * [backup-simplify]: Simplify (+ (* 2 y) 0) into (* 2 y) 5.641 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.641 * [taylor]: Taking taylor expansion of 2 in y 5.641 * [backup-simplify]: Simplify 2 into 2 5.641 * [taylor]: Taking taylor expansion of y in y 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (* 2 0) into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 5.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [taylor]: Taking taylor expansion of 0 in y 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.644 * [backup-simplify]: Simplify 2 into 2 5.645 * [backup-simplify]: Simplify (* 1 1) into 1 5.645 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 5.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.648 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [taylor]: Taking taylor expansion of 0 in y 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 5.654 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [taylor]: Taking taylor expansion of 0 in y 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2 (* y x))) into (+ (pow y 2) (* 2 (* x y))) 5.655 * [backup-simplify]: Simplify (fma 2 (* (/ 1 x) (/ 1 y)) (* (/ 1 y) (/ 1 y))) into (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) 5.655 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in (x y) around 0 5.655 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in y 5.655 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.655 * [taylor]: Taking taylor expansion of 2 in y 5.655 * [backup-simplify]: Simplify 2 into 2 5.655 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.655 * [taylor]: Taking taylor expansion of (* x y) in y 5.655 * [taylor]: Taking taylor expansion of x in y 5.655 * [backup-simplify]: Simplify x into x 5.655 * [taylor]: Taking taylor expansion of y in y 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (* x 0) into 0 5.656 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.656 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.656 * [taylor]: Taking taylor expansion of y in y 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (/ 1 1) into 1 5.657 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in x 5.657 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.657 * [taylor]: Taking taylor expansion of 2 in x 5.657 * [backup-simplify]: Simplify 2 into 2 5.657 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.657 * [taylor]: Taking taylor expansion of (* x y) in x 5.657 * [taylor]: Taking taylor expansion of x in x 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 1 into 1 5.657 * [taylor]: Taking taylor expansion of y in x 5.657 * [backup-simplify]: Simplify y into y 5.657 * [backup-simplify]: Simplify (* 0 y) into 0 5.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.658 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.658 * [taylor]: Taking taylor expansion of y in x 5.658 * [backup-simplify]: Simplify y into y 5.658 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.658 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.658 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in x 5.658 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.658 * [taylor]: Taking taylor expansion of 2 in x 5.658 * [backup-simplify]: Simplify 2 into 2 5.658 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.658 * [taylor]: Taking taylor expansion of (* x y) in x 5.658 * [taylor]: Taking taylor expansion of x in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [taylor]: Taking taylor expansion of y in x 5.659 * [backup-simplify]: Simplify y into y 5.659 * [backup-simplify]: Simplify (* 0 y) into 0 5.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.659 * [taylor]: Taking taylor expansion of y in x 5.659 * [backup-simplify]: Simplify y into y 5.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.660 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.660 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 5.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.660 * [taylor]: Taking taylor expansion of 2 in y 5.660 * [backup-simplify]: Simplify 2 into 2 5.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.660 * [taylor]: Taking taylor expansion of y in y 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.662 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.662 * [taylor]: Taking taylor expansion of y in y 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (* 1 1) into 1 5.663 * [backup-simplify]: Simplify (/ 1 1) into 1 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (* 2 1) into 2 5.664 * [backup-simplify]: Simplify 2 into 2 5.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 5.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.666 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [taylor]: Taking taylor expansion of 0 in y 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.673 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [taylor]: Taking taylor expansion of 0 in y 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 5.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.683 * [backup-simplify]: Simplify (+ 0 0) into 0 5.683 * [taylor]: Taking taylor expansion of 0 in y 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 5.686 * [backup-simplify]: Simplify (fma 2 (* (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) 5.686 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in (x y) around 0 5.686 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in y 5.686 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.686 * [taylor]: Taking taylor expansion of 2 in y 5.686 * [backup-simplify]: Simplify 2 into 2 5.687 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.687 * [taylor]: Taking taylor expansion of (* x y) in y 5.687 * [taylor]: Taking taylor expansion of x in y 5.687 * [backup-simplify]: Simplify x into x 5.687 * [taylor]: Taking taylor expansion of y in y 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 1 into 1 5.687 * [backup-simplify]: Simplify (* x 0) into 0 5.687 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.687 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.687 * [taylor]: Taking taylor expansion of y in y 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (* 1 1) into 1 5.688 * [backup-simplify]: Simplify (/ 1 1) into 1 5.688 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in x 5.689 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.689 * [taylor]: Taking taylor expansion of 2 in x 5.689 * [backup-simplify]: Simplify 2 into 2 5.689 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.689 * [taylor]: Taking taylor expansion of (* x y) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [taylor]: Taking taylor expansion of y in x 5.689 * [backup-simplify]: Simplify y into y 5.689 * [backup-simplify]: Simplify (* 0 y) into 0 5.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.689 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.689 * [taylor]: Taking taylor expansion of y in x 5.690 * [backup-simplify]: Simplify y into y 5.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.690 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (/ 1 (pow y 2))) in x 5.690 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))) 5.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.690 * [taylor]: Taking taylor expansion of 2 in x 5.690 * [backup-simplify]: Simplify 2 into 2 5.690 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.690 * [taylor]: Taking taylor expansion of (* x y) in x 5.690 * [taylor]: Taking taylor expansion of x in x 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [taylor]: Taking taylor expansion of y in x 5.690 * [backup-simplify]: Simplify y into y 5.690 * [backup-simplify]: Simplify (* 0 y) into 0 5.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.691 * [taylor]: Taking taylor expansion of y in x 5.691 * [backup-simplify]: Simplify y into y 5.691 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.691 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.691 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.691 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 5.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.691 * [taylor]: Taking taylor expansion of 2 in y 5.691 * [backup-simplify]: Simplify 2 into 2 5.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.691 * [taylor]: Taking taylor expansion of y in y 5.691 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (/ 1 1) into 1 5.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.694 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.694 * [taylor]: Taking taylor expansion of y in y 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (* 1 1) into 1 5.695 * [backup-simplify]: Simplify (/ 1 1) into 1 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (* 2 1) into 2 5.695 * [backup-simplify]: Simplify 2 into 2 5.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [taylor]: Taking taylor expansion of 0 in y 5.698 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.704 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.705 * [backup-simplify]: Simplify (+ 0 0) into 0 5.705 * [taylor]: Taking taylor expansion of 0 in y 5.705 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 5.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [taylor]: Taking taylor expansion of 0 in y 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 5.717 * * * [progress]: simplifying candidates 5.718 * [simplify]: Simplifying: (expm1 (fma 2 (* x y) (* y y))) (log1p (fma 2 (* x y) (* y y))) (* 2 (* x y)) (log (fma 2 (* x y) (* y y))) (exp (fma 2 (* x y) (* y y))) (* (cbrt (fma 2 (* x y) (* y y))) (cbrt (fma 2 (* x y) (* y y)))) (cbrt (fma 2 (* x y) (* y y))) (* (* (fma 2 (* x y) (* y y)) (fma 2 (* x y) (* y y))) (fma 2 (* x y) (* y y))) (sqrt (fma 2 (* x y) (* y y))) (sqrt (fma 2 (* x y) (* y y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 5.718 * * [simplify]: iteration 0: 18 enodes 5.723 * * [simplify]: iteration 1: 28 enodes 5.733 * * [simplify]: iteration 2: 87 enodes 5.775 * * [simplify]: iteration 3: 407 enodes 6.180 * * [simplify]: iteration 4: 4396 enodes 9.187 * * [simplify]: iteration complete: 5000 enodes 9.187 * * [simplify]: Extracting #0: cost 10 inf + 0 9.188 * * [simplify]: Extracting #1: cost 274 inf + 0 9.192 * * [simplify]: Extracting #2: cost 1258 inf + 367 9.199 * * [simplify]: Extracting #3: cost 901 inf + 8073 9.210 * * [simplify]: Extracting #4: cost 45 inf + 15504 9.218 * * [simplify]: Extracting #5: cost 0 inf + 15974 9.225 * * [simplify]: Extracting #6: cost 0 inf + 15968 9.234 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* (* y x) 2) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* y (fma x 2 y)) (* y (fma x 2 y)) (* y (fma x 2 y)) 9.234 * * * [progress]: adding candidates to table 9.286 * [progress]: [Phase 3 of 3] Extracting. 9.286 * * [regime]: Finding splitpoints for: (# # #) 9.286 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.286 * * * * [regimes]: Trying to branch on y from (# # #) 9.335 * * * * [regimes]: Trying to branch on x from (# # #) 9.376 * * * [regime]: Found split indices: #