9.521 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.036 * * [simplify]: iteration 0: 4 enodes 0.037 * * [simplify]: iteration 1: 11 enodes 0.040 * * [simplify]: iteration 2: 27 enodes 0.049 * * [simplify]: iteration 3: 65 enodes 0.062 * * [simplify]: iteration 4: 147 enodes 0.095 * * [simplify]: iteration 5: 243 enodes 0.127 * * [simplify]: iteration 6: 273 enodes 0.158 * * [simplify]: iteration 7: 290 enodes 0.197 * * [simplify]: iteration 8: 292 enodes 0.228 * * [simplify]: iteration complete: 292 enodes 0.228 * * [simplify]: Extracting #0: cost 1 inf + 0 0.228 * * [simplify]: Extracting #1: cost 19 inf + 0 0.229 * * [simplify]: Extracting #2: cost 15 inf + 6 0.229 * * [simplify]: Extracting #3: cost 0 inf + 77 0.229 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.236 * * [progress]: iteration 1 / 4 0.236 * * * [progress]: picking best candidate 0.241 * * * * [pick]: Picked # 0.241 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.311 * * * [progress]: generating series expansions 0.311 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.311 * [backup-simplify]: Simplify (* (+ y x) (+ y x)) into (pow (+ x y) 2) 0.311 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (y x) around 0 0.311 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.311 * [taylor]: Taking taylor expansion of (+ x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (+ 0 y) into y 0.312 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.312 * [taylor]: Taking taylor expansion of (+ x y) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ x 0) into x 0.312 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.312 * [taylor]: Taking taylor expansion of (+ x y) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ x 0) into x 0.312 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* x 1) (* 1 x)) into (* 2 x) 0.313 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.313 * [taylor]: Taking taylor expansion of 2 in x 0.313 * [backup-simplify]: Simplify 2 into 2 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 2 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 x))) into 1 0.315 * [taylor]: Taking taylor expansion of 1 in x 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.316 * [backup-simplify]: Simplify 2 into 2 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.317 * [backup-simplify]: Simplify (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.317 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (y x) around 0 0.317 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [backup-simplify]: Simplify x into x 0.318 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [backup-simplify]: Simplify x into x 0.319 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 0 1) into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of 1 in x 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.322 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x)) 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 2 in x 0.322 * [backup-simplify]: Simplify 2 into 2 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2)) 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 2 1) into 2 0.327 * [backup-simplify]: Simplify 2 into 2 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.328 * [backup-simplify]: Simplify (* (+ (/ 1 (- y)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- x)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.329 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (y x) around 0 0.329 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [backup-simplify]: Simplify y into y 0.329 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [backup-simplify]: Simplify x into x 0.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.334 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x)) 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of 2 in x 0.334 * [backup-simplify]: Simplify 2 into 2 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 2 1) into 2 0.339 * [backup-simplify]: Simplify 2 into 2 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.340 * * * [progress]: simplifying candidates 0.341 * [simplify]: Simplifying: (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) (+ 1 1) (* (+ y x) (+ y x)) (+ 1 1) (+ (log (+ y x)) (log (+ y x))) (log (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (+ y x)) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (sqrt (* (+ y x) (+ y x))) (sqrt (* (+ y x) (+ y x))) (* (+ (pow y 3) (pow x 3)) (+ (pow y 3) (pow x 3))) (* (+ (* y y) (- (* x x) (* y x))) (+ (* y y) (- (* x x) (* y x)))) (* (+ (pow y 3) (pow x 3)) (- (* y y) (* x x))) (* (+ (* y y) (- (* x x) (* y x))) (- y x)) (* (- (* y y) (* x x)) (+ (pow y 3) (pow x 3))) (* (- y x) (+ (* y y) (- (* x x) (* y x)))) (* (- (* y y) (* x x)) (- (* y y) (* x x))) (* (- y x) (- y x)) (* (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (sqrt (+ y x)) (sqrt (+ y x))) (* (sqrt (+ y x)) (sqrt (+ y x))) (* 1 1) (* (+ y x) (+ y x)) (* 1 1) (* (+ y x) (+ y x)) (* 1 1) (* (+ y x) (+ y x)) (* 1 1) (* (+ y x) (+ y x)) (* (sqrt (+ y x)) (sqrt (+ y x))) (* (sqrt (+ y x)) (sqrt (+ y x))) (* 2 1) (* (+ y x) y) (* (+ y x) x) (* y (+ y x)) (* x (+ y x)) (* (+ y x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (+ y x) (sqrt (+ y x))) (* (+ y x) 1) (* (+ y x) 1) (* (cbrt (+ y x)) (+ y x)) (* (sqrt (+ y x)) (+ y x)) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (+ y x) (+ (pow y 3) (pow x 3))) (* (+ y x) (- (* y y) (* x x))) (* (+ (pow y 3) (pow x 3)) (+ y x)) (* (- (* y y) (* x x)) (+ y x)) (+ (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)))) 0.343 * * [simplify]: iteration 0: 65 enodes 0.371 * * [simplify]: iteration 1: 232 enodes 0.615 * * [simplify]: iteration 2: 1813 enodes 1.849 * * [simplify]: iteration complete: 5001 enodes 1.849 * * [simplify]: Extracting #0: cost 27 inf + 0 1.851 * * [simplify]: Extracting #1: cost 765 inf + 2 1.856 * * [simplify]: Extracting #2: cost 1641 inf + 1495 1.863 * * [simplify]: Extracting #3: cost 769 inf + 11199 1.874 * * [simplify]: Extracting #4: cost 45 inf + 18285 1.886 * * [simplify]: Extracting #5: cost 3 inf + 18531 1.899 * * [simplify]: Extracting #6: cost 0 inf + 18548 1.914 * [simplify]: Simplified to: (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) 2 (* (+ y x) (+ y x)) 2 (* (log (+ y x)) 2) (* (log (+ y x)) 2) (pow (exp (+ y x)) (+ y x)) (pow (+ y x) (* 2 3)) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (pow (+ y x) (* 2 3)) (fabs (+ y x)) (fabs (+ y x)) (* (+ (pow y 3) (pow x 3)) (+ (pow y 3) (pow x 3))) (* (fma y y (* (- x y) x)) (fma y y (* (- x y) x))) (* (+ (pow y 3) (pow x 3)) (fma y y (- (* x x)))) (* (fma y y (* (- x y) x)) (- y x)) (* (+ (pow y 3) (pow x 3)) (fma y y (- (* x x)))) (* (fma y y (* (- x y) x)) (- y x)) (* (* (+ y x) (+ y x)) (* (- y x) (- y x))) (* (- y x) (- y x)) (* (+ y x) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ y x) (+ y x) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) (+ y x) (+ y x) 2 (* (+ y x) y) (* x (+ y x)) (* (+ y x) y) (* x (+ y x)) (* (+ y x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (pow (sqrt (+ y x)) 3) (+ y x) (+ y x) (* (+ y x) (cbrt (+ y x))) (pow (sqrt (+ y x)) 3) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (+ (pow y 3) (pow x 3)) (+ y x)) (* (+ y x) (* (- y x) (+ y x))) (* (+ (pow y 3) (pow x 3)) (+ y x)) (* (+ y x) (* (- y x) (+ y x))) (fma y (* 2 x) (fma y y (* x x))) (fma y (* 2 x) (fma y y (* x x))) (fma y (* 2 x) (fma y y (* x x))) 1.915 * * * [progress]: adding candidates to table 2.020 * * [progress]: iteration 2 / 4 2.020 * * * [progress]: picking best candidate 2.030 * * * * [pick]: Picked # 2.030 * * * [progress]: localizing error 2.039 * * * [progress]: generating rewritten candidates 2.039 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.075 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.089 * * * [progress]: generating series expansions 2.090 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.090 * [backup-simplify]: Simplify (* x (+ y x)) into (* x (+ x y)) 2.090 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [backup-simplify]: Simplify x into x 2.090 * [taylor]: Taking taylor expansion of (+ x y) in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [backup-simplify]: Simplify x into x 2.090 * [taylor]: Taking taylor expansion of y in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (+ x y) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [backup-simplify]: Simplify y into y 2.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (+ x y) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [backup-simplify]: Simplify y into y 2.090 * [backup-simplify]: Simplify (+ 0 y) into y 2.090 * [backup-simplify]: Simplify (* 0 y) into 0 2.090 * [taylor]: Taking taylor expansion of 0 in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.091 * [taylor]: Taking taylor expansion of y in y 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.092 * [taylor]: Taking taylor expansion of 1 in y 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in y 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.095 * [taylor]: Taking taylor expansion of 0 in y 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.095 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 2.095 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 2.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.095 * [taylor]: Taking taylor expansion of x in y 2.095 * [backup-simplify]: Simplify x into x 2.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [backup-simplify]: Simplify x into x 2.096 * [backup-simplify]: Simplify (+ 0 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.096 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [backup-simplify]: Simplify y into y 2.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (+ 1 0) into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.097 * [taylor]: Taking taylor expansion of y in x 2.097 * [backup-simplify]: Simplify y into y 2.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (+ 1 0) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [taylor]: Taking taylor expansion of 1 in y 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.099 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (/ 1 1) into 1 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.101 * [taylor]: Taking taylor expansion of 0 in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [taylor]: Taking taylor expansion of 0 in y 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.107 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ (+ (/ 1 x) (/ 1 y)) x) 2.107 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 2.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.108 * [backup-simplify]: Simplify (+ 0 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (+ 1 0) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.109 * [backup-simplify]: Simplify y into y 2.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of 1 in y 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.111 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.113 * [taylor]: Taking taylor expansion of 0 in y 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in y 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.118 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.119 * [backup-simplify]: Simplify (* (+ y x) y) into (* (+ x y) y) 2.119 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (y x) around 0 2.119 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 2.119 * [taylor]: Taking taylor expansion of (+ x y) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [backup-simplify]: Simplify y into y 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [backup-simplify]: Simplify y into y 2.119 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 2.119 * [taylor]: Taking taylor expansion of (+ x y) in y 2.119 * [taylor]: Taking taylor expansion of x in y 2.119 * [backup-simplify]: Simplify x into x 2.119 * [taylor]: Taking taylor expansion of y in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of y in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 2.119 * [taylor]: Taking taylor expansion of (+ x y) in y 2.119 * [taylor]: Taking taylor expansion of x in y 2.119 * [backup-simplify]: Simplify x into x 2.119 * [taylor]: Taking taylor expansion of y in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of y in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (+ x 0) into x 2.119 * [backup-simplify]: Simplify (* x 0) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in x 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ 0 1) into 1 2.120 * [backup-simplify]: Simplify (+ (* x 1) (* 1 0)) into x 2.120 * [taylor]: Taking taylor expansion of x in x 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 0))) into 1 2.121 * [taylor]: Taking taylor expansion of 1 in x 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in x 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in x 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 2.123 * [backup-simplify]: Simplify (* (+ (/ 1 y) (/ 1 x)) (/ 1 y)) into (/ (+ (/ 1 x) (/ 1 y)) y) 2.123 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 2.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.123 * [taylor]: Taking taylor expansion of y in x 2.123 * [backup-simplify]: Simplify y into y 2.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.123 * [taylor]: Taking taylor expansion of y in x 2.123 * [backup-simplify]: Simplify y into y 2.124 * [backup-simplify]: Simplify (+ 1 0) into 1 2.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.124 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.124 * [taylor]: Taking taylor expansion of x in y 2.124 * [backup-simplify]: Simplify x into x 2.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.124 * [taylor]: Taking taylor expansion of y in y 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of y in y 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (+ 0 1) into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.125 * [taylor]: Taking taylor expansion of x in y 2.125 * [backup-simplify]: Simplify x into x 2.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.125 * [taylor]: Taking taylor expansion of y in y 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of y in y 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (+ 0 1) into 1 2.126 * [backup-simplify]: Simplify (/ 1 1) into 1 2.126 * [taylor]: Taking taylor expansion of 1 in x 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.128 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 2.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in x 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [taylor]: Taking taylor expansion of 0 in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [taylor]: Taking taylor expansion of 0 in x 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 2.142 * [backup-simplify]: Simplify (* (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 2.142 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (y x) around 0 2.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.143 * [taylor]: Taking taylor expansion of y in x 2.143 * [backup-simplify]: Simplify y into y 2.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.143 * [taylor]: Taking taylor expansion of y in x 2.143 * [backup-simplify]: Simplify y into y 2.143 * [backup-simplify]: Simplify (+ 1 0) into 1 2.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.144 * [taylor]: Taking taylor expansion of x in y 2.144 * [backup-simplify]: Simplify x into x 2.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.144 * [taylor]: Taking taylor expansion of y in y 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ 1 1) into 1 2.144 * [taylor]: Taking taylor expansion of y in y 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.145 * [taylor]: Taking taylor expansion of x in y 2.145 * [backup-simplify]: Simplify x into x 2.145 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of y in y 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (+ 0 1) into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of 1 in x 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.149 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 2.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 2.152 * [taylor]: Taking taylor expansion of 0 in x 2.152 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in x 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [taylor]: Taking taylor expansion of 0 in x 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 2.161 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.161 * [backup-simplify]: Simplify (+ (* (+ y x) y) (* x (+ y x))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.161 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (y x) around 0 2.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 2.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.161 * [taylor]: Taking taylor expansion of y in x 2.161 * [backup-simplify]: Simplify y into y 2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.161 * [taylor]: Taking taylor expansion of 2 in x 2.161 * [backup-simplify]: Simplify 2 into 2 2.161 * [taylor]: Taking taylor expansion of (* x y) in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of y in x 2.161 * [backup-simplify]: Simplify y into y 2.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 2.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.161 * [taylor]: Taking taylor expansion of y in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.161 * [taylor]: Taking taylor expansion of x in y 2.161 * [backup-simplify]: Simplify x into x 2.161 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.161 * [taylor]: Taking taylor expansion of 2 in y 2.161 * [backup-simplify]: Simplify 2 into 2 2.161 * [taylor]: Taking taylor expansion of (* x y) in y 2.161 * [taylor]: Taking taylor expansion of x in y 2.161 * [backup-simplify]: Simplify x into x 2.161 * [taylor]: Taking taylor expansion of y in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 2.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.161 * [taylor]: Taking taylor expansion of y in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.161 * [taylor]: Taking taylor expansion of x in y 2.161 * [backup-simplify]: Simplify x into x 2.161 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.161 * [taylor]: Taking taylor expansion of 2 in y 2.161 * [backup-simplify]: Simplify 2 into 2 2.161 * [taylor]: Taking taylor expansion of (* x y) in y 2.161 * [taylor]: Taking taylor expansion of x in y 2.161 * [backup-simplify]: Simplify x into x 2.161 * [taylor]: Taking taylor expansion of y in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.162 * [backup-simplify]: Simplify (* x 0) into 0 2.162 * [backup-simplify]: Simplify (* 2 0) into 0 2.162 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.162 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.163 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.163 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 2.163 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.163 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.163 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.163 * [taylor]: Taking taylor expansion of 2 in x 2.163 * [backup-simplify]: Simplify 2 into 2 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (* 2 0) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.164 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (+ 1 0) into 1 2.166 * [taylor]: Taking taylor expansion of 1 in x 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.166 * [backup-simplify]: Simplify 2 into 2 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.166 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.167 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) (/ 1 x)) (/ 1 y)) (* (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 2.167 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.167 * [taylor]: Taking taylor expansion of y in x 2.167 * [backup-simplify]: Simplify y into y 2.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (* 1 1) into 1 2.168 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.168 * [taylor]: Taking taylor expansion of 2 in x 2.168 * [backup-simplify]: Simplify 2 into 2 2.168 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.168 * [taylor]: Taking taylor expansion of (* x y) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of y in x 2.168 * [backup-simplify]: Simplify y into y 2.168 * [backup-simplify]: Simplify (* 0 y) into 0 2.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.168 * [taylor]: Taking taylor expansion of y in y 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.169 * [taylor]: Taking taylor expansion of x in y 2.169 * [backup-simplify]: Simplify x into x 2.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.169 * [taylor]: Taking taylor expansion of 2 in y 2.169 * [backup-simplify]: Simplify 2 into 2 2.169 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.169 * [taylor]: Taking taylor expansion of (* x y) in y 2.169 * [taylor]: Taking taylor expansion of x in y 2.169 * [backup-simplify]: Simplify x into x 2.169 * [taylor]: Taking taylor expansion of y in y 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (* x 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.170 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.170 * [taylor]: Taking taylor expansion of y in y 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.170 * [taylor]: Taking taylor expansion of x in y 2.170 * [backup-simplify]: Simplify x into x 2.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.170 * [taylor]: Taking taylor expansion of 2 in y 2.170 * [backup-simplify]: Simplify 2 into 2 2.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.170 * [taylor]: Taking taylor expansion of (* x y) in y 2.170 * [taylor]: Taking taylor expansion of x in y 2.170 * [backup-simplify]: Simplify x into x 2.170 * [taylor]: Taking taylor expansion of y in y 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* x 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.171 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.171 * [backup-simplify]: Simplify (+ 1 0) into 1 2.171 * [taylor]: Taking taylor expansion of 1 in x 2.171 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.172 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.172 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of 2 in x 2.172 * [backup-simplify]: Simplify 2 into 2 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.177 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (* 2 1) into 2 2.178 * [backup-simplify]: Simplify 2 into 2 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.178 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 2.178 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.178 * [taylor]: Taking taylor expansion of y in x 2.178 * [backup-simplify]: Simplify y into y 2.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.179 * [taylor]: Taking taylor expansion of 2 in x 2.179 * [backup-simplify]: Simplify 2 into 2 2.179 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.179 * [taylor]: Taking taylor expansion of (* x y) in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of y in x 2.179 * [backup-simplify]: Simplify y into y 2.179 * [backup-simplify]: Simplify (* 0 y) into 0 2.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.180 * [taylor]: Taking taylor expansion of y in y 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.180 * [taylor]: Taking taylor expansion of x in y 2.180 * [backup-simplify]: Simplify x into x 2.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.181 * [taylor]: Taking taylor expansion of 2 in y 2.181 * [backup-simplify]: Simplify 2 into 2 2.181 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.181 * [taylor]: Taking taylor expansion of (* x y) in y 2.181 * [taylor]: Taking taylor expansion of x in y 2.181 * [backup-simplify]: Simplify x into x 2.181 * [taylor]: Taking taylor expansion of y in y 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* x 0) into 0 2.181 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.181 * [taylor]: Taking taylor expansion of y in y 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.182 * [taylor]: Taking taylor expansion of x in y 2.182 * [backup-simplify]: Simplify x into x 2.182 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.182 * [taylor]: Taking taylor expansion of 2 in y 2.182 * [backup-simplify]: Simplify 2 into 2 2.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.182 * [taylor]: Taking taylor expansion of (* x y) in y 2.182 * [taylor]: Taking taylor expansion of x in y 2.182 * [backup-simplify]: Simplify x into x 2.182 * [taylor]: Taking taylor expansion of y in y 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* x 0) into 0 2.182 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.183 * [backup-simplify]: Simplify (+ 1 0) into 1 2.183 * [taylor]: Taking taylor expansion of 1 in x 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.184 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.184 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.184 * [taylor]: Taking taylor expansion of 2 in x 2.184 * [backup-simplify]: Simplify 2 into 2 2.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.186 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.186 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.187 * [backup-simplify]: Simplify (/ 1 1) into 1 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (* 2 1) into 2 2.187 * [backup-simplify]: Simplify 2 into 2 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.188 * * * [progress]: simplifying candidates 2.188 * [simplify]: Simplifying: (expm1 (* x (+ y x))) (log1p (* x (+ y x))) (* x (+ y x)) (+ (log x) (log (+ y x))) (log (* x (+ y x))) (exp (* x (+ y x))) (* (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x)))) (cbrt (* x (+ y x))) (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x))) (sqrt (* x (+ y x))) (sqrt (* x (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* x y) (* x x) (* y x) (* x x) (* x (* (cbrt (+ y x)) (cbrt (+ y x)))) (* x (sqrt (+ y x))) (* x 1) (* x 1) (* (cbrt x) (+ y x)) (* (sqrt x) (+ y x)) (* x (+ y x)) (* x (+ (pow y 3) (pow x 3))) (* x (- (* y y) (* x x))) (expm1 (* (+ y x) y)) (log1p (* (+ y x) y)) (* (+ y x) y) (+ (log (+ y x)) (log y)) (log (* (+ y x) y)) (exp (* (+ y x) y)) (* (* (* (+ y x) (+ y x)) (+ y x)) (* (* y y) 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 x)) (sqrt y)) (* (sqrt (+ y x)) (sqrt y)) (* (+ y x) (* (cbrt y) (cbrt y))) (* (+ y x) (sqrt y)) (* (+ y x) 1) (* (cbrt (+ y x)) y) (* (sqrt (+ y x)) y) (* (+ y x) y) (* (+ y x) y) (* (+ (pow y 3) (pow x 3)) y) (* (- (* y y) (* x x)) y) (expm1 (+ (* (+ y x) y) (* x (+ y x)))) (log1p (+ (* (+ y x) y) (* x (+ y x)))) (* (exp (* (+ y x) y)) (exp (* x (+ y x)))) (log (+ (* (+ y x) y) (* x (+ y x)))) (exp (+ (* (+ y x) y) (* x (+ y x)))) (* (cbrt (+ (* (+ y x) y) (* x (+ y x)))) (cbrt (+ (* (+ y x) y) (* x (+ y x))))) (cbrt (+ (* (+ y x) y) (* x (+ y x)))) (* (* (+ (* (+ y x) y) (* x (+ y x))) (+ (* (+ y x) y) (* x (+ y x)))) (+ (* (+ y x) y) (* x (+ y x)))) (sqrt (+ (* (+ y x) y) (* x (+ y x)))) (sqrt (+ (* (+ y x) y) (* x (+ y x)))) (+ (* (* (+ (pow y 3) (pow x 3)) y) (+ (* y y) (- (* x x) (* y x)))) (* (+ (* y y) (- (* x x) (* y x))) (* x (+ (pow y 3) (pow x 3))))) (* (+ (* y y) (- (* x x) (* y x))) (+ (* y y) (- (* x x) (* y x)))) (+ (* (* (+ (pow y 3) (pow x 3)) y) (- y x)) (* (+ (* y y) (- (* x x) (* y x))) (* x (- (* y y) (* x x))))) (* (+ (* y y) (- (* x x) (* y x))) (- y x)) (+ (* (* (- (* y y) (* x x)) y) (+ (* y y) (- (* x x) (* y x)))) (* (- y x) (* x (+ (pow y 3) (pow x 3))))) (* (- y x) (+ (* y y) (- (* x x) (* y x)))) (+ (* (* (- (* y y) (* x x)) y) (- y x)) (* (- y x) (* x (- (* y y) (* x x))))) (* (- y x) (- y x)) (+ (pow (* (+ y x) y) 3) (pow (* x (+ y x)) 3)) (+ (* (* (+ y x) y) (* (+ y x) y)) (- (* (* x (+ y x)) (* x (+ y x))) (* (* (+ y x) y) (* x (+ y x))))) (- (* (* (+ y x) y) (* (+ y x) y)) (* (* x (+ y x)) (* x (+ y x)))) (- (* (+ y x) y) (* x (+ y x))) (+ (* (+ y x) y) (* x y)) (+ (* (+ y x) y) (* y x)) (+ (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)) (+ (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)))) 2.190 * * [simplify]: iteration 0: 116 enodes 2.215 * * [simplify]: iteration 1: 371 enodes 2.664 * * [simplify]: iteration 2: 2424 enodes 4.932 * * [simplify]: iteration complete: 5001 enodes 4.932 * * [simplify]: Extracting #0: cost 60 inf + 0 4.936 * * [simplify]: Extracting #1: cost 640 inf + 1 4.947 * * [simplify]: Extracting #2: cost 1279 inf + 209 4.960 * * [simplify]: Extracting #3: cost 705 inf + 4266 4.972 * * [simplify]: Extracting #4: cost 127 inf + 9262 4.981 * * [simplify]: Extracting #5: cost 12 inf + 10241 4.988 * * [simplify]: Extracting #6: cost 0 inf + 10323 4.998 * [simplify]: Simplified to: (expm1 (* (+ x y) x)) (log1p (* (+ x y) x)) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (pow (exp x) (+ x y)) (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 (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x y) (pow x 2) (* x y) (pow x 2) (* (* x (cbrt (+ x y))) (cbrt (+ x y))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ y x)) (* (+ x y) x) (* x (+ (pow y 3) (pow x 3))) (* x (fma y y (- (pow x 2)))) (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (sqrt y) (+ x y)) (+ x y) (* (cbrt (+ x y)) y) (* y (sqrt (+ x y))) (* (+ x y) y) (* (+ x y) y) (* y (+ (pow y 3) (pow x 3))) (* (* y (+ x y)) (- y x)) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (fma (- x y) x (* y y)) (fma y (+ (pow y 3) (pow x 3)) (* x (+ (pow y 3) (pow x 3))))) (* (fma (- x y) x (* y y)) (fma (- x y) x (* y y))) (fma (* y (+ (pow y 3) (pow x 3))) (- y x) (* x (* (fma y y (- (pow x 2))) (fma (- x y) x (* y y))))) (* (- y x) (fma (- x y) x (* y y))) (fma (+ (pow y 3) (pow x 3)) (* x (- y x)) (* (fma y (* x (- x y)) (pow y 3)) (fma y y (- (pow x 2))))) (* (- y x) (fma (- x y) x (* y y))) (* (- y x) (fma y (fma y y (- (pow x 2))) (* x (fma y y (- (pow x 2)))))) (* (- y x) (- y x)) (+ (pow (* (+ x y) y) 3) (pow (* (+ x y) x) 3)) (fma (* (+ x y) y) (* (+ x y) y) (* (* (+ x y) x) (- (* (+ x y) x) (* (+ x y) y)))) (* (* (+ x y) (+ x y)) (fma y (+ x y) (* x (- (+ y x))))) (fma y (+ x y) (* x (- (+ y x)))) (* y (+ (+ x y) x)) (* y (+ (+ x y) x)) (* x (+ y x)) (* x (+ y x)) (* x (+ y x)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (fma (* 2 y) x (fma y y (pow x 2))) (fma (* 2 y) x (fma y y (pow x 2))) (fma (* 2 y) x (fma y y (pow x 2))) 4.998 * * * [progress]: adding candidates to table 5.318 * * [progress]: iteration 3 / 4 5.318 * * * [progress]: picking best candidate 5.335 * * * * [pick]: Picked # 5.335 * * * [progress]: localizing error 5.353 * * * [progress]: generating rewritten candidates 5.353 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 5.387 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.389 * * * [progress]: generating series expansions 5.389 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 5.389 * [backup-simplify]: Simplify (* x (+ y x)) into (* x (+ x y)) 5.389 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 5.389 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 5.389 * [taylor]: Taking taylor expansion of x in y 5.389 * [backup-simplify]: Simplify x into x 5.389 * [taylor]: Taking taylor expansion of (+ x y) in y 5.389 * [taylor]: Taking taylor expansion of x in y 5.389 * [backup-simplify]: Simplify x into x 5.389 * [taylor]: Taking taylor expansion of y in y 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of (+ x y) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of y in x 5.389 * [backup-simplify]: Simplify y into y 5.389 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.390 * [taylor]: Taking taylor expansion of (+ x y) in x 5.390 * [taylor]: Taking taylor expansion of x in x 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [taylor]: Taking taylor expansion of y in x 5.390 * [backup-simplify]: Simplify y into y 5.390 * [backup-simplify]: Simplify (+ 0 y) into y 5.390 * [backup-simplify]: Simplify (* 0 y) into 0 5.390 * [taylor]: Taking taylor expansion of 0 in y 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (+ 1 0) into 1 5.391 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 5.391 * [taylor]: Taking taylor expansion of y in y 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 5.393 * [taylor]: Taking taylor expansion of 1 in y 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 5.395 * [taylor]: Taking taylor expansion of 0 in y 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 5.397 * [taylor]: Taking taylor expansion of 0 in y 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 5.397 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.397 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.397 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.398 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.398 * [taylor]: Taking taylor expansion of x in y 5.398 * [backup-simplify]: Simplify x into x 5.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.398 * [taylor]: Taking taylor expansion of y in y 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.398 * [backup-simplify]: Simplify (/ 1 1) into 1 5.398 * [taylor]: Taking taylor expansion of x in y 5.398 * [backup-simplify]: Simplify x into x 5.399 * [backup-simplify]: Simplify (+ 0 1) into 1 5.399 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.399 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.399 * [taylor]: Taking taylor expansion of x in x 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify 1 into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.399 * [taylor]: Taking taylor expansion of y in x 5.399 * [backup-simplify]: Simplify y into y 5.399 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.399 * [taylor]: Taking taylor expansion of x in x 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (+ 1 0) into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.400 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.400 * [taylor]: Taking taylor expansion of x in x 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.401 * [backup-simplify]: Simplify (/ 1 1) into 1 5.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.401 * [taylor]: Taking taylor expansion of y in x 5.401 * [backup-simplify]: Simplify y into y 5.401 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.401 * [taylor]: Taking taylor expansion of x in x 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (+ 1 0) into 1 5.402 * [backup-simplify]: Simplify (/ 1 1) into 1 5.402 * [taylor]: Taking taylor expansion of 1 in y 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.404 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.404 * [taylor]: Taking taylor expansion of y in y 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (/ 1 1) into 1 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.406 * [backup-simplify]: Simplify (+ 0 0) into 0 5.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.407 * [taylor]: Taking taylor expansion of 0 in y 5.407 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.410 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.411 * [taylor]: Taking taylor expansion of 0 in y 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.416 * [taylor]: Taking taylor expansion of 0 in y 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 5.417 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.417 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.417 * [taylor]: Taking taylor expansion of x in y 5.417 * [backup-simplify]: Simplify x into x 5.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.417 * [taylor]: Taking taylor expansion of y in y 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [taylor]: Taking taylor expansion of x in y 5.418 * [backup-simplify]: Simplify x into x 5.418 * [backup-simplify]: Simplify (+ 0 1) into 1 5.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.419 * [taylor]: Taking taylor expansion of x in x 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.419 * [taylor]: Taking taylor expansion of y in x 5.419 * [backup-simplify]: Simplify y into y 5.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.419 * [taylor]: Taking taylor expansion of x in x 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (+ 1 0) into 1 5.420 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.420 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.420 * [taylor]: Taking taylor expansion of y in x 5.420 * [backup-simplify]: Simplify y into y 5.421 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.421 * [taylor]: Taking taylor expansion of x in x 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (+ 1 0) into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.421 * [taylor]: Taking taylor expansion of 1 in y 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.422 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.423 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.423 * [taylor]: Taking taylor expansion of y in y 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.425 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.426 * [taylor]: Taking taylor expansion of 0 in y 5.426 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.430 * [taylor]: Taking taylor expansion of 0 in y 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.433 * [backup-simplify]: Simplify (+ 0 0) into 0 5.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [taylor]: Taking taylor expansion of 0 in y 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 5.436 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.436 * [backup-simplify]: Simplify (fma (+ y x) y (* x (+ y x))) into (fma (+ x y) y (* x (+ x y))) 5.436 * [approximate]: Taking taylor expansion of (fma (+ x y) y (* x (+ x y))) in (y x) around 0 5.436 * [taylor]: Taking taylor expansion of (fma (+ x y) y (* x (+ x y))) in x 5.436 * [taylor]: Rewrote expression to (+ (* (+ x y) y) (* x (+ x y))) 5.436 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 5.436 * [taylor]: Taking taylor expansion of (+ x y) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of y in x 5.436 * [backup-simplify]: Simplify y into y 5.436 * [taylor]: Taking taylor expansion of y in x 5.436 * [backup-simplify]: Simplify y into y 5.436 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of (+ x y) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of y in x 5.437 * [backup-simplify]: Simplify y into y 5.437 * [taylor]: Taking taylor expansion of (fma (+ x y) y (* x (+ x y))) in y 5.437 * [taylor]: Rewrote expression to (+ (* (+ x y) y) (* x (+ x y))) 5.437 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 5.437 * [taylor]: Taking taylor expansion of (+ x y) in y 5.437 * [taylor]: Taking taylor expansion of x in y 5.437 * [backup-simplify]: Simplify x into x 5.437 * [taylor]: Taking taylor expansion of y in y 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of y in y 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 5.437 * [taylor]: Taking taylor expansion of x in y 5.437 * [backup-simplify]: Simplify x into x 5.437 * [taylor]: Taking taylor expansion of (+ x y) in y 5.437 * [taylor]: Taking taylor expansion of x in y 5.437 * [backup-simplify]: Simplify x into x 5.437 * [taylor]: Taking taylor expansion of y in y 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (fma (+ x y) y (* x (+ x y))) in y 5.437 * [taylor]: Rewrote expression to (+ (* (+ x y) y) (* x (+ x y))) 5.437 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 5.437 * [taylor]: Taking taylor expansion of (+ x y) in y 5.437 * [taylor]: Taking taylor expansion of x in y 5.437 * [backup-simplify]: Simplify x into x 5.437 * [taylor]: Taking taylor expansion of y in y 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of y in y 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 5.438 * [taylor]: Taking taylor expansion of x in y 5.438 * [backup-simplify]: Simplify x into x 5.438 * [taylor]: Taking taylor expansion of (+ x y) in y 5.438 * [taylor]: Taking taylor expansion of x in y 5.438 * [backup-simplify]: Simplify x into x 5.438 * [taylor]: Taking taylor expansion of y in y 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (+ x 0) into x 5.438 * [backup-simplify]: Simplify (* x 0) into 0 5.438 * [backup-simplify]: Simplify (+ x 0) into x 5.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.438 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.438 * [taylor]: Taking taylor expansion of x in x 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (+ 0 1) into 1 5.439 * [backup-simplify]: Simplify (+ (* x 1) (* 1 0)) into x 5.440 * [backup-simplify]: Simplify (+ 0 1) into 1 5.440 * [backup-simplify]: Simplify (+ (* x 1) (* 0 x)) into x 5.440 * [backup-simplify]: Simplify (+ x x) into (* 2 x) 5.440 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.440 * [taylor]: Taking taylor expansion of 2 in x 5.440 * [backup-simplify]: Simplify 2 into 2 5.440 * [taylor]: Taking taylor expansion of x in x 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (* 2 0) into 0 5.440 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify (+ 0 0) into 0 5.441 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 0))) into 1 5.442 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 x))) into 0 5.443 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [taylor]: Taking taylor expansion of 1 in x 5.443 * [backup-simplify]: Simplify 1 into 1 5.443 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.444 * [backup-simplify]: Simplify 2 into 2 5.444 * [backup-simplify]: Simplify (* 1 1) into 1 5.444 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.445 * [backup-simplify]: Simplify (fma (+ (/ 1 y) (/ 1 x)) (/ 1 y) (* (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (fma (+ (/ 1 x) (/ 1 y)) (/ 1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.445 * [approximate]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in (y x) around 0 5.445 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in x 5.445 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) in x 5.445 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.445 * [taylor]: Taking taylor expansion of x in x 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.446 * [taylor]: Taking taylor expansion of y in x 5.446 * [backup-simplify]: Simplify y into y 5.446 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.446 * [taylor]: Taking taylor expansion of y in x 5.446 * [backup-simplify]: Simplify y into y 5.446 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.446 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.446 * [taylor]: Taking taylor expansion of x in x 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.446 * [taylor]: Taking taylor expansion of y in x 5.446 * [backup-simplify]: Simplify y into y 5.447 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.447 * [taylor]: Taking taylor expansion of x in x 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.447 * [backup-simplify]: Simplify (+ 1 0) into 1 5.447 * [backup-simplify]: Simplify (/ 1 1) into 1 5.447 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in y 5.448 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) in y 5.448 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.448 * [taylor]: Taking taylor expansion of x in y 5.448 * [backup-simplify]: Simplify x into x 5.448 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.448 * [taylor]: Taking taylor expansion of y in y 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (/ 1 1) into 1 5.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.448 * [taylor]: Taking taylor expansion of y in y 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify (/ 1 1) into 1 5.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.449 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.449 * [taylor]: Taking taylor expansion of x in y 5.449 * [backup-simplify]: Simplify x into x 5.449 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.449 * [taylor]: Taking taylor expansion of y in y 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify (/ 1 1) into 1 5.449 * [taylor]: Taking taylor expansion of x in y 5.449 * [backup-simplify]: Simplify x into x 5.450 * [backup-simplify]: Simplify (+ 0 1) into 1 5.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.450 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in y 5.450 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) in y 5.450 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.450 * [taylor]: Taking taylor expansion of x in y 5.450 * [backup-simplify]: Simplify x into x 5.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.451 * [taylor]: Taking taylor expansion of y in y 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.451 * [taylor]: Taking taylor expansion of y in y 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.451 * [taylor]: Taking taylor expansion of x in y 5.452 * [backup-simplify]: Simplify x into x 5.452 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.452 * [taylor]: Taking taylor expansion of y in y 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.452 * [backup-simplify]: Simplify (/ 1 1) into 1 5.452 * [taylor]: Taking taylor expansion of x in y 5.452 * [backup-simplify]: Simplify x into x 5.452 * [backup-simplify]: Simplify (+ 0 1) into 1 5.453 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.453 * [backup-simplify]: Simplify (+ 0 1) into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.454 * [backup-simplify]: Simplify (+ 1 0) into 1 5.454 * [taylor]: Taking taylor expansion of 1 in x 5.454 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) 1)) into (/ 1 x) 5.456 * [backup-simplify]: Simplify (+ (/ 1 x) (/ 1 x)) into (* 2 (/ 1 x)) 5.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.456 * [taylor]: Taking taylor expansion of 2 in x 5.456 * [backup-simplify]: Simplify 2 into 2 5.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.456 * [taylor]: Taking taylor expansion of x in x 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (+ 0 0) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 1))) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.461 * [backup-simplify]: Simplify (- (/ (/ 1 x) x) (+ (* (/ 1 x) (/ 0 x)))) into (/ 1 (pow x 2)) 5.461 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.461 * [taylor]: Taking taylor expansion of x in x 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.461 * [backup-simplify]: Simplify (* 1 1) into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (* 2 1) into 2 5.462 * [backup-simplify]: Simplify 2 into 2 5.462 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.463 * [backup-simplify]: Simplify (fma (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y)) (* (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.463 * [approximate]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in (y x) around 0 5.463 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in x 5.464 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.464 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) in x 5.464 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in x 5.464 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.464 * [taylor]: Taking taylor expansion of x in x 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.464 * [taylor]: Taking taylor expansion of y in x 5.464 * [backup-simplify]: Simplify y into y 5.464 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.464 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.464 * [taylor]: Taking taylor expansion of -1 in x 5.464 * [backup-simplify]: Simplify -1 into -1 5.464 * [taylor]: Taking taylor expansion of y in x 5.464 * [backup-simplify]: Simplify y into y 5.465 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.465 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.465 * [taylor]: Taking taylor expansion of y in x 5.465 * [backup-simplify]: Simplify y into y 5.465 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (+ 1 0) into 1 5.466 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in y 5.466 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.466 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) in y 5.466 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in y 5.466 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.466 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.466 * [taylor]: Taking taylor expansion of x in y 5.466 * [backup-simplify]: Simplify x into x 5.466 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.466 * [taylor]: Taking taylor expansion of y in y 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.466 * [taylor]: Taking taylor expansion of -1 in y 5.466 * [backup-simplify]: Simplify -1 into -1 5.466 * [taylor]: Taking taylor expansion of y in y 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ -1 1) into -1 5.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.467 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.467 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.467 * [taylor]: Taking taylor expansion of x in y 5.467 * [backup-simplify]: Simplify x into x 5.467 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.467 * [taylor]: Taking taylor expansion of y in y 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [taylor]: Taking taylor expansion of x in y 5.467 * [backup-simplify]: Simplify x into x 5.467 * [backup-simplify]: Simplify (+ 0 1) into 1 5.467 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.467 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 y) (/ (+ (/ 1 x) (/ 1 y)) x)) in y 5.468 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) (/ (+ (/ 1 x) (/ 1 y)) x)) 5.468 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 y)) in y 5.468 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in y 5.468 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.468 * [taylor]: Taking taylor expansion of x in y 5.468 * [backup-simplify]: Simplify x into x 5.468 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.468 * [taylor]: Taking taylor expansion of y in y 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (/ 1 1) into 1 5.468 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.468 * [taylor]: Taking taylor expansion of -1 in y 5.468 * [backup-simplify]: Simplify -1 into -1 5.468 * [taylor]: Taking taylor expansion of y in y 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (/ -1 1) into -1 5.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.468 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.468 * [taylor]: Taking taylor expansion of x in y 5.468 * [backup-simplify]: Simplify x into x 5.468 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.468 * [taylor]: Taking taylor expansion of y in y 5.468 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of x in y 5.469 * [backup-simplify]: Simplify x into x 5.469 * [backup-simplify]: Simplify (+ 0 1) into 1 5.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.469 * [backup-simplify]: Simplify (+ 0 1) into 1 5.470 * [backup-simplify]: Simplify (- 1) into -1 5.470 * [backup-simplify]: Simplify (* -1 -1) into 1 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [taylor]: Taking taylor expansion of 1 in x 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (- 1) into -1 5.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.472 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 5.472 * [backup-simplify]: Simplify (+ (* -1 0) (* (- (/ 1 x)) -1)) into (/ 1 x) 5.472 * [backup-simplify]: Simplify (+ (/ 1 x) (/ 1 x)) into (* 2 (/ 1 x)) 5.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.472 * [taylor]: Taking taylor expansion of 2 in x 5.472 * [backup-simplify]: Simplify 2 into 2 5.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.473 * [backup-simplify]: Simplify (- 1) into -1 5.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 5.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (+ 0 0) into 0 5.474 * [backup-simplify]: Simplify (- 0) into 0 5.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- (/ 1 x)) 0) (* 0 -1))) into 0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.475 * [backup-simplify]: Simplify (- (/ (/ 1 x) x) (+ (* (/ 1 x) (/ 0 x)))) into (/ 1 (pow x 2)) 5.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (* 1 1) into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.479 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (* 2 1) into 2 5.479 * [backup-simplify]: Simplify 2 into 2 5.479 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 5.480 * * * [progress]: simplifying candidates 5.481 * [simplify]: Simplifying: (expm1 (* x (+ y x))) (log1p (* x (+ y x))) (* x (+ y x)) (+ (log x) (log (+ y x))) (log (* x (+ y x))) (exp (* x (+ y x))) (* (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x)))) (cbrt (* x (+ y x))) (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x))) (sqrt (* x (+ y x))) (sqrt (* x (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* (sqrt x) (sqrt (+ y x))) (* x y) (* x x) (* y x) (* x x) (* x (* (cbrt (+ y x)) (cbrt (+ y x)))) (* x (sqrt (+ y x))) (* x 1) (* x 1) (* (cbrt x) (+ y x)) (* (sqrt x) (+ y x)) (* x (+ y x)) (* x (+ (pow y 3) (pow x 3))) (* x (- (* y y) (* x x))) (expm1 (fma (+ y x) y (* x (+ y x)))) (log1p (fma (+ y x) y (* x (+ y x)))) (* (+ y x) y) (log (fma (+ y x) y (* x (+ y x)))) (exp (fma (+ y x) y (* x (+ y x)))) (* (cbrt (fma (+ y x) y (* x (+ y x)))) (cbrt (fma (+ y x) y (* x (+ y x))))) (cbrt (fma (+ y x) y (* x (+ y x)))) (* (* (fma (+ y x) y (* x (+ y x))) (fma (+ y x) y (* x (+ y x)))) (fma (+ y x) y (* x (+ y x)))) (sqrt (fma (+ y x) y (* x (+ y x)))) (sqrt (fma (+ y x) y (* x (+ y x)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* 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)))) 5.481 * * [simplify]: iteration 0: 61 enodes 5.495 * * [simplify]: iteration 1: 168 enodes 5.665 * * [simplify]: iteration 2: 917 enodes 6.046 * * [simplify]: iteration complete: 5002 enodes 6.046 * * [simplify]: Extracting #0: cost 32 inf + 0 6.048 * * [simplify]: Extracting #1: cost 737 inf + 4 6.052 * * [simplify]: Extracting #2: cost 1807 inf + 375 6.059 * * [simplify]: Extracting #3: cost 2165 inf + 2893 6.069 * * [simplify]: Extracting #4: cost 493 inf + 18096 6.077 * * [simplify]: Extracting #5: cost 10 inf + 22984 6.086 * * [simplify]: Extracting #6: cost 0 inf + 22990 6.104 * [simplify]: Simplified to: (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 (+ y x) 3) (pow 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))) (* y x) (* x x) (* x y) (* x x) (* (* x (cbrt (+ y x))) (cbrt (+ y x))) (* x (sqrt (+ y x))) x x (* (cbrt x) (+ y x)) (* (sqrt x) (+ y x)) (* x (+ y x)) (* (+ (pow y 3) (pow x 3)) x) (* x (fma y y (- (* x x)))) (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) (* y (+ y x)) (log (* (+ y x) (+ y x))) (pow (exp (+ y x)) (+ y x)) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (pow (* (+ y x) (+ y x)) 3) (sqrt (* (+ y x) (+ y x))) (sqrt (* (+ y x) (+ y x))) (* x (+ y x)) (* x (+ y x)) (* x (+ y x)) (fma 2 (* x y) (fma y y (* x x))) (fma 2 (* x y) (fma y y (* x x))) (fma 2 (* x y) (fma y y (* x x))) 6.104 * * * [progress]: adding candidates to table 6.284 * * [progress]: iteration 4 / 4 6.284 * * * [progress]: picking best candidate 6.294 * * * * [pick]: Picked # 6.294 * * * [progress]: localizing error 6.303 * * * [progress]: generating rewritten candidates 6.303 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.304 * * * [progress]: generating series expansions 6.304 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.304 * [backup-simplify]: Simplify (fma 2 (* x y) (fma y y (* x x))) into (fma 2 (* x y) (fma y y (pow x 2))) 6.304 * [approximate]: Taking taylor expansion of (fma 2 (* x y) (fma y y (pow x 2))) in (x y) around 0 6.304 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma y y (pow x 2))) in y 6.304 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma y y (pow x 2))) 6.304 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.304 * [taylor]: Taking taylor expansion of 2 in y 6.304 * [backup-simplify]: Simplify 2 into 2 6.304 * [taylor]: Taking taylor expansion of (* x y) in y 6.304 * [taylor]: Taking taylor expansion of x in y 6.304 * [backup-simplify]: Simplify x into x 6.304 * [taylor]: Taking taylor expansion of y in y 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y 6.304 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 6.304 * [taylor]: Taking taylor expansion of (* y y) in y 6.304 * [taylor]: Taking taylor expansion of y in y 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [taylor]: Taking taylor expansion of y in y 6.304 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.305 * [taylor]: Taking taylor expansion of x in y 6.305 * [backup-simplify]: Simplify x into x 6.305 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma y y (pow x 2))) in x 6.305 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma y y (pow x 2))) 6.305 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.305 * [taylor]: Taking taylor expansion of 2 in x 6.305 * [backup-simplify]: Simplify 2 into 2 6.305 * [taylor]: Taking taylor expansion of (* x y) in x 6.305 * [taylor]: Taking taylor expansion of x in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x 6.305 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 6.305 * [taylor]: Taking taylor expansion of (* y y) in x 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.305 * [taylor]: Taking taylor expansion of x in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma y y (pow x 2))) in x 6.305 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma y y (pow x 2))) 6.305 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.305 * [taylor]: Taking taylor expansion of 2 in x 6.305 * [backup-simplify]: Simplify 2 into 2 6.305 * [taylor]: Taking taylor expansion of (* x y) in x 6.305 * [taylor]: Taking taylor expansion of x in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x 6.305 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2)) 6.305 * [taylor]: Taking taylor expansion of (* y y) in x 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of y in x 6.305 * [backup-simplify]: Simplify y into y 6.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.305 * [taylor]: Taking taylor expansion of x in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (* 0 y) into 0 6.306 * [backup-simplify]: Simplify (* 2 0) into 0 6.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.306 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.306 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.306 * [taylor]: Taking taylor expansion of y in y 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.307 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 6.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify (+ (* 2 y) 0) into (* 2 y) 6.307 * [taylor]: Taking taylor expansion of (* 2 y) in y 6.307 * [taylor]: Taking taylor expansion of 2 in y 6.307 * [backup-simplify]: Simplify 2 into 2 6.307 * [taylor]: Taking taylor expansion of y in y 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.308 * [backup-simplify]: Simplify (* 2 0) into 0 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 6.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.309 * [backup-simplify]: Simplify (+ 0 1) into 1 6.310 * [backup-simplify]: Simplify (+ 0 1) into 1 6.310 * [taylor]: Taking taylor expansion of 1 in y 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.310 * [backup-simplify]: Simplify 2 into 2 6.310 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify 1 into 1 6.311 * [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)))) 6.311 * [backup-simplify]: Simplify (fma 2 (* (/ 1 x) (/ 1 y)) (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (/ 1 x)))) into (fma 2 (/ 1 (* x y)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 6.311 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in (x y) around 0 6.311 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in y 6.311 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 6.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.311 * [taylor]: Taking taylor expansion of 2 in y 6.311 * [backup-simplify]: Simplify 2 into 2 6.311 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.311 * [taylor]: Taking taylor expansion of (* x y) in y 6.311 * [taylor]: Taking taylor expansion of x in y 6.311 * [backup-simplify]: Simplify x into x 6.311 * [taylor]: Taking taylor expansion of y in y 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* x 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.312 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y 6.312 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 6.312 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.312 * [taylor]: Taking taylor expansion of y in y 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.312 * [taylor]: Taking taylor expansion of y in y 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.312 * [taylor]: Taking taylor expansion of x in y 6.312 * [backup-simplify]: Simplify x into x 6.312 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.313 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in x 6.313 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 6.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.313 * [taylor]: Taking taylor expansion of 2 in x 6.313 * [backup-simplify]: Simplify 2 into 2 6.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.313 * [taylor]: Taking taylor expansion of (* x y) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of y in x 6.313 * [backup-simplify]: Simplify y into y 6.313 * [backup-simplify]: Simplify (* 0 y) into 0 6.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.313 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x 6.313 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 6.313 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.313 * [taylor]: Taking taylor expansion of y in x 6.313 * [backup-simplify]: Simplify y into y 6.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.313 * [taylor]: Taking taylor expansion of y in x 6.313 * [backup-simplify]: Simplify y into y 6.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.314 * [backup-simplify]: Simplify (/ 1 1) into 1 6.314 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in x 6.314 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) 6.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.314 * [taylor]: Taking taylor expansion of 2 in x 6.314 * [backup-simplify]: Simplify 2 into 2 6.314 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.314 * [taylor]: Taking taylor expansion of (* x y) in x 6.314 * [taylor]: Taking taylor expansion of x in x 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [taylor]: Taking taylor expansion of y in x 6.314 * [backup-simplify]: Simplify y into y 6.314 * [backup-simplify]: Simplify (* 0 y) into 0 6.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.315 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x 6.315 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2))) 6.315 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.315 * [taylor]: Taking taylor expansion of y in x 6.315 * [backup-simplify]: Simplify y into y 6.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.315 * [taylor]: Taking taylor expansion of y in x 6.315 * [backup-simplify]: Simplify y into y 6.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.315 * [taylor]: Taking taylor expansion of x in x 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [backup-simplify]: Simplify (+ 0 1) into 1 6.316 * [backup-simplify]: Simplify (+ 0 1) into 1 6.316 * [taylor]: Taking taylor expansion of 1 in y 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ 0 0) into 0 6.317 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 6.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.317 * [taylor]: Taking taylor expansion of 2 in y 6.317 * [backup-simplify]: Simplify 2 into 2 6.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.317 * [taylor]: Taking taylor expansion of y in y 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.319 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.320 * [taylor]: Taking taylor expansion of y in y 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* 1 1) into 1 6.320 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (* 2 1) into 2 6.321 * [backup-simplify]: Simplify 2 into 2 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [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)))) 6.321 * [backup-simplify]: Simplify (fma 2 (* (/ 1 (- x)) (/ 1 (- y))) (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (- x))))) into (fma 2 (/ 1 (* x y)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 6.322 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in (x y) around 0 6.322 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in y 6.322 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 6.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.322 * [taylor]: Taking taylor expansion of 2 in y 6.322 * [backup-simplify]: Simplify 2 into 2 6.322 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.322 * [taylor]: Taking taylor expansion of (* x y) in y 6.322 * [taylor]: Taking taylor expansion of x in y 6.322 * [backup-simplify]: Simplify x into x 6.322 * [taylor]: Taking taylor expansion of y in y 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (* x 0) into 0 6.322 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.323 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y 6.323 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 6.323 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.323 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.323 * [taylor]: Taking taylor expansion of -1 in y 6.323 * [backup-simplify]: Simplify -1 into -1 6.323 * [taylor]: Taking taylor expansion of y in y 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify (/ -1 1) into -1 6.323 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.323 * [taylor]: Taking taylor expansion of -1 in y 6.323 * [backup-simplify]: Simplify -1 into -1 6.323 * [taylor]: Taking taylor expansion of y in y 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (/ -1 1) into -1 6.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.324 * [taylor]: Taking taylor expansion of x in y 6.324 * [backup-simplify]: Simplify x into x 6.324 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.324 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.324 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in x 6.324 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 6.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.324 * [taylor]: Taking taylor expansion of 2 in x 6.324 * [backup-simplify]: Simplify 2 into 2 6.324 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.324 * [taylor]: Taking taylor expansion of (* x y) in x 6.324 * [taylor]: Taking taylor expansion of x in x 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [taylor]: Taking taylor expansion of y in x 6.325 * [backup-simplify]: Simplify y into y 6.325 * [backup-simplify]: Simplify (* 0 y) into 0 6.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.325 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x 6.325 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 6.325 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.325 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.325 * [taylor]: Taking taylor expansion of -1 in x 6.325 * [backup-simplify]: Simplify -1 into -1 6.326 * [taylor]: Taking taylor expansion of y in x 6.326 * [backup-simplify]: Simplify y into y 6.326 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.326 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.326 * [taylor]: Taking taylor expansion of -1 in x 6.326 * [backup-simplify]: Simplify -1 into -1 6.326 * [taylor]: Taking taylor expansion of y in x 6.326 * [backup-simplify]: Simplify y into y 6.326 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.326 * [taylor]: Taking taylor expansion of x in x 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 1 into 1 6.326 * [backup-simplify]: Simplify (* 1 1) into 1 6.327 * [backup-simplify]: Simplify (/ 1 1) into 1 6.327 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in x 6.327 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) 6.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.327 * [taylor]: Taking taylor expansion of 2 in x 6.327 * [backup-simplify]: Simplify 2 into 2 6.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.327 * [taylor]: Taking taylor expansion of (* x y) in x 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [taylor]: Taking taylor expansion of y in x 6.327 * [backup-simplify]: Simplify y into y 6.327 * [backup-simplify]: Simplify (* 0 y) into 0 6.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.328 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.328 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x 6.328 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2))) 6.328 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.328 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.328 * [taylor]: Taking taylor expansion of -1 in x 6.328 * [backup-simplify]: Simplify -1 into -1 6.328 * [taylor]: Taking taylor expansion of y in x 6.328 * [backup-simplify]: Simplify y into y 6.328 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.328 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.328 * [taylor]: Taking taylor expansion of -1 in x 6.328 * [backup-simplify]: Simplify -1 into -1 6.328 * [taylor]: Taking taylor expansion of y in x 6.328 * [backup-simplify]: Simplify y into y 6.328 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.328 * [taylor]: Taking taylor expansion of x in x 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [backup-simplify]: Simplify (+ 0 1) into 1 6.330 * [backup-simplify]: Simplify (+ 0 1) into 1 6.330 * [taylor]: Taking taylor expansion of 1 in y 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 6.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.332 * [taylor]: Taking taylor expansion of 2 in y 6.332 * [backup-simplify]: Simplify 2 into 2 6.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.332 * [taylor]: Taking taylor expansion of y in y 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.333 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.335 * [taylor]: Taking taylor expansion of y in y 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (* 1 1) into 1 6.336 * [backup-simplify]: Simplify (/ 1 1) into 1 6.336 * [backup-simplify]: Simplify 1 into 1 6.336 * [backup-simplify]: Simplify (* 2 1) into 2 6.336 * [backup-simplify]: Simplify 2 into 2 6.336 * [backup-simplify]: Simplify 1 into 1 6.336 * [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)))) 6.336 * * * [progress]: simplifying candidates 6.337 * [simplify]: Simplifying: (expm1 (fma 2 (* x y) (fma y y (* x x)))) (log1p (fma 2 (* x y) (fma y y (* x x)))) (* 2 (* x y)) (log (fma 2 (* x y) (fma y y (* x x)))) (exp (fma 2 (* x y) (fma y y (* x x)))) (* (cbrt (fma 2 (* x y) (fma y y (* x x)))) (cbrt (fma 2 (* x y) (fma y y (* x x))))) (cbrt (fma 2 (* x y) (fma y y (* x x)))) (* (* (fma 2 (* x y) (fma y y (* x x))) (fma 2 (* x y) (fma y y (* x x)))) (fma 2 (* x y) (fma y y (* x x)))) (sqrt (fma 2 (* x y) (fma y y (* x x)))) (sqrt (fma 2 (* x y) (fma y y (* x x)))) (+ (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)))) 6.337 * * [simplify]: iteration 0: 21 enodes 6.340 * * [simplify]: iteration 1: 38 enodes 6.350 * * [simplify]: iteration 2: 116 enodes 6.409 * * [simplify]: iteration 3: 574 enodes 6.826 * * [simplify]: iteration complete: 5001 enodes 6.826 * * [simplify]: Extracting #0: cost 10 inf + 0 6.827 * * [simplify]: Extracting #1: cost 225 inf + 0 6.834 * * [simplify]: Extracting #2: cost 1413 inf + 221 6.845 * * [simplify]: Extracting #3: cost 1455 inf + 7200 6.858 * * [simplify]: Extracting #4: cost 57 inf + 28034 6.870 * * [simplify]: Extracting #5: cost 0 inf + 29247 6.882 * [simplify]: Simplified to: (expm1 (fma y (fma x 2 y) (* x x))) (log1p (fma y (fma x 2 y) (* x x))) (* (* y x) 2) (log (fma y (fma x 2 y) (* x x))) (exp (fma y (fma x 2 y) (* x x))) (* (cbrt (fma y (fma x 2 y) (* x x))) (cbrt (fma y (fma x 2 y) (* x x)))) (cbrt (fma y (fma x 2 y) (* x x))) (pow (fma y (fma x 2 y) (* x x)) 3) (sqrt (fma y (fma x 2 y) (* x x))) (sqrt (fma y (fma x 2 y) (* x x))) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 6.882 * * * [progress]: adding candidates to table 6.936 * [progress]: [Phase 3 of 3] Extracting. 6.936 * * [regime]: Finding splitpoints for: (# # # #) 6.937 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.937 * * * * [regimes]: Trying to branch on y from (# # # #) 6.983 * * * * [regimes]: Trying to branch on x from (# # # #) 7.041 * * * [regime]: Found split indices: #