7.135 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ x (* y y)) 0.021 * * [simplify]: iteration 0: 4 enodes 0.022 * * [simplify]: iteration 1: 6 enodes 0.022 * * [simplify]: iteration complete: 6 enodes 0.022 * * [simplify]: Extracting #0: cost 1 inf + 0 0.022 * * [simplify]: Extracting #1: cost 5 inf + 0 0.023 * * [simplify]: Extracting #2: cost 2 inf + 43 0.023 * * [simplify]: Extracting #3: cost 0 inf + 167 0.023 * [simplify]: Simplified to: (/ x (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.038 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [backup-simplify]: Simplify x into x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ x 1) into x 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.040 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.042 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.044 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.049 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.049 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.058 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.058 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.059 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.059 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (* -1 1) into -1 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.070 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.071 * * [simplify]: iteration 0: 45 enodes 0.078 * * [simplify]: iteration 1: 112 enodes 0.148 * * [simplify]: iteration 2: 616 enodes 0.461 * * [simplify]: iteration complete: 5001 enodes 0.461 * * [simplify]: Extracting #0: cost 20 inf + 0 0.463 * * [simplify]: Extracting #1: cost 750 inf + 0 0.472 * * [simplify]: Extracting #2: cost 2084 inf + 2861 0.507 * * [simplify]: Extracting #3: cost 765 inf + 142760 0.574 * * [simplify]: Extracting #4: cost 10 inf + 230317 0.627 * * [simplify]: Extracting #5: cost 0 inf + 230730 0.669 * * [simplify]: Extracting #6: cost 0 inf + 230650 0.721 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- x) (* y (- y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (* (/ y (cbrt x)) y) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.722 * * * [progress]: adding candidates to table 0.809 * * [progress]: iteration 2 / 4 0.809 * * * [progress]: picking best candidate 0.825 * * * * [pick]: Picked # 0.825 * * * [progress]: localizing error 0.833 * * * [progress]: generating rewritten candidates 0.833 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.845 * * * [progress]: generating series expansions 0.845 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.845 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.845 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [backup-simplify]: Simplify x into x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (/ x 1) into x 0.846 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [backup-simplify]: Simplify y into y 0.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.846 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [backup-simplify]: Simplify y into y 0.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (* 1 1) into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.849 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.853 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.854 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.854 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.854 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of x in y 0.854 * [backup-simplify]: Simplify x into x 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.854 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [backup-simplify]: Simplify y into y 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.854 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.854 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [backup-simplify]: Simplify y into y 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.855 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.863 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.863 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.863 * [taylor]: Taking taylor expansion of -1 in y 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [backup-simplify]: Simplify x into x 0.863 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.863 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [backup-simplify]: Simplify -1 into -1 0.864 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.864 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.864 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [backup-simplify]: Simplify -1 into -1 0.864 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.864 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.864 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.864 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of -1 in y 0.864 * [backup-simplify]: Simplify -1 into -1 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (* 1 1) into 1 0.865 * [backup-simplify]: Simplify (* -1 1) into -1 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.867 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.873 * * * [progress]: simplifying candidates 0.874 * [simplify]: Simplifying: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.876 * * [simplify]: iteration 0: 142 enodes 0.911 * * [simplify]: iteration 1: 343 enodes 1.083 * * [simplify]: iteration 2: 1637 enodes 1.605 * * [simplify]: iteration complete: 5000 enodes 1.605 * * [simplify]: Extracting #0: cost 84 inf + 0 1.609 * * [simplify]: Extracting #1: cost 816 inf + 2 1.621 * * [simplify]: Extracting #2: cost 1850 inf + 22335 1.646 * * [simplify]: Extracting #3: cost 617 inf + 195198 1.690 * * [simplify]: Extracting #4: cost 0 inf + 259823 1.732 * * [simplify]: Extracting #5: cost 0 inf + 259423 1.801 * * [simplify]: Extracting #6: cost 0 inf + 259263 1.875 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x y) y))) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x y) y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (/ x (* y y)) (* (/ x (* y y)) (/ x (* y y)))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (/ (- x) y) (- y) (* (/ (cbrt (/ x y)) (cbrt y)) (/ (cbrt (/ x y)) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (cbrt (/ x y)) (/ (sqrt y) (cbrt (/ x y)))) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (* (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (cbrt x) (cbrt y)) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (/ (cbrt x) y) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (* y (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (sqrt x) (/ (sqrt x) (* y y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) (* (sqrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) y) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x (* (cbrt y) (cbrt y))) y) (/ x (* (sqrt y) y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ y (cbrt x)) (cbrt y)) (* (sqrt y) (/ y (cbrt x))) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) (cbrt y)) (* (/ y (sqrt x)) (sqrt y)) (/ y (/ (sqrt x) y)) (* (cbrt y) (/ y x)) (* (/ y x) (sqrt y)) (/ y (/ x y)) (/ y (/ x y)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.878 * * * [progress]: adding candidates to table 2.178 * * [progress]: iteration 3 / 4 2.178 * * * [progress]: picking best candidate 2.200 * * * * [pick]: Picked # 2.200 * * * [progress]: localizing error 2.213 * * * [progress]: generating rewritten candidates 2.213 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.250 * * * [progress]: generating series expansions 2.250 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.250 * [backup-simplify]: Simplify (* (/ 1 y) (/ x y)) into (/ x (pow y 2)) 2.250 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.250 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.250 * [taylor]: Taking taylor expansion of x in x 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.250 * [taylor]: Taking taylor expansion of y in x 2.250 * [backup-simplify]: Simplify y into y 2.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.251 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.251 * [taylor]: Taking taylor expansion of x in y 2.251 * [backup-simplify]: Simplify x into x 2.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (/ x 1) into x 2.251 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.251 * [taylor]: Taking taylor expansion of x in y 2.252 * [backup-simplify]: Simplify x into x 2.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.252 * [taylor]: Taking taylor expansion of y in y 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.252 * [backup-simplify]: Simplify (/ x 1) into x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.253 * [taylor]: Taking taylor expansion of 0 in x 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [taylor]: Taking taylor expansion of 0 in x 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [taylor]: Taking taylor expansion of 0 in x 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 2.257 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (/ 1 x) (/ 1 y))) into (/ (pow y 2) x) 2.257 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.257 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.257 * [taylor]: Taking taylor expansion of y in x 2.257 * [backup-simplify]: Simplify y into y 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.257 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.257 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [taylor]: Taking taylor expansion of x in y 2.257 * [backup-simplify]: Simplify x into x 2.257 * [backup-simplify]: Simplify (* 1 1) into 1 2.257 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.257 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [taylor]: Taking taylor expansion of x in y 2.257 * [backup-simplify]: Simplify x into x 2.258 * [backup-simplify]: Simplify (* 1 1) into 1 2.258 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [backup-simplify]: Simplify (/ 1 1) into 1 2.258 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.261 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.261 * [taylor]: Taking taylor expansion of 0 in x 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.263 * [taylor]: Taking taylor expansion of 0 in x 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.264 * [taylor]: Taking taylor expansion of 0 in x 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 2.265 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 2.265 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 2.265 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.265 * [taylor]: Taking taylor expansion of -1 in x 2.265 * [backup-simplify]: Simplify -1 into -1 2.265 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.265 * [taylor]: Taking taylor expansion of y in x 2.265 * [backup-simplify]: Simplify y into y 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.265 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.265 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.265 * [taylor]: Taking taylor expansion of -1 in y 2.265 * [backup-simplify]: Simplify -1 into -1 2.265 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.265 * [taylor]: Taking taylor expansion of y in y 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of x in y 2.265 * [backup-simplify]: Simplify x into x 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.266 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.266 * [taylor]: Taking taylor expansion of -1 in y 2.266 * [backup-simplify]: Simplify -1 into -1 2.266 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.266 * [taylor]: Taking taylor expansion of y in y 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of x in y 2.266 * [backup-simplify]: Simplify x into x 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.266 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 2.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.266 * [taylor]: Taking taylor expansion of -1 in x 2.266 * [backup-simplify]: Simplify -1 into -1 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ -1 1) into -1 2.267 * [backup-simplify]: Simplify -1 into -1 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 2.267 * [taylor]: Taking taylor expansion of 0 in x 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.269 * [taylor]: Taking taylor expansion of 0 in x 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.271 * [taylor]: Taking taylor expansion of 0 in x 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 2.272 * * * [progress]: simplifying candidates 2.273 * [simplify]: Simplifying: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.274 * * [simplify]: iteration 0: 112 enodes 2.298 * * [simplify]: iteration 1: 350 enodes 2.527 * * [simplify]: iteration 2: 2093 enodes 3.516 * * [simplify]: iteration complete: 5001 enodes 3.516 * * [simplify]: Extracting #0: cost 35 inf + 0 3.518 * * [simplify]: Extracting #1: cost 643 inf + 1 3.525 * * [simplify]: Extracting #2: cost 1720 inf + 7199 3.554 * * [simplify]: Extracting #3: cost 802 inf + 113141 3.595 * * [simplify]: Extracting #4: cost 83 inf + 206679 3.633 * * [simplify]: Extracting #5: cost 0 inf + 218595 3.676 * * [simplify]: Extracting #6: cost 0 inf + 218435 3.721 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (/ x y) (* (/ x y) (/ x y))) (* y y)) y) (* (/ (/ x y) y) (/ (* (/ x y) (/ x y)) (* y y))) (* (/ 1 y) (* (* (/ 1 y) (/ 1 y)) (* (/ x y) (* (/ x y) (/ x y))))) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) y) (/ (sqrt (/ x y)) y) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) y) (/ (* (/ (cbrt x) (sqrt y)) (cbrt x)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (/ (* x (cbrt (/ 1 y))) y) (/ (* x (sqrt (/ 1 y))) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 3.724 * * * [progress]: adding candidates to table 3.934 * * [progress]: iteration 4 / 4 3.934 * * * [progress]: picking best candidate 3.952 * * * * [pick]: Picked # 3.952 * * * [progress]: localizing error 3.960 * * * [progress]: generating rewritten candidates 3.960 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.977 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.000 * * * [progress]: generating series expansions 4.000 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.000 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 4.001 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.001 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.001 * [taylor]: Taking taylor expansion of x in x 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.001 * [taylor]: Taking taylor expansion of y in x 4.001 * [backup-simplify]: Simplify y into y 4.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.001 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.001 * [taylor]: Taking taylor expansion of x in y 4.001 * [backup-simplify]: Simplify x into x 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ x 1) into x 4.001 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.001 * [taylor]: Taking taylor expansion of x in y 4.001 * [backup-simplify]: Simplify x into x 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ x 1) into x 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.008 * [taylor]: Taking taylor expansion of 0 in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.009 * [taylor]: Taking taylor expansion of 0 in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [taylor]: Taking taylor expansion of 0 in x 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 4.011 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 4.012 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.012 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.012 * [taylor]: Taking taylor expansion of y in x 4.012 * [backup-simplify]: Simplify y into y 4.012 * [taylor]: Taking taylor expansion of x in x 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.012 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.012 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.012 * [taylor]: Taking taylor expansion of y in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of x in y 4.012 * [backup-simplify]: Simplify x into x 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.012 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.012 * [taylor]: Taking taylor expansion of y in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of x in y 4.012 * [backup-simplify]: Simplify x into x 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.013 * [taylor]: Taking taylor expansion of x in x 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.013 * [taylor]: Taking taylor expansion of 0 in x 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.015 * [taylor]: Taking taylor expansion of 0 in x 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.016 * [taylor]: Taking taylor expansion of 0 in x 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 4.017 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 4.017 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 4.017 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.017 * [taylor]: Taking taylor expansion of -1 in x 4.017 * [backup-simplify]: Simplify -1 into -1 4.017 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.017 * [taylor]: Taking taylor expansion of y in x 4.017 * [backup-simplify]: Simplify y into y 4.017 * [taylor]: Taking taylor expansion of x in x 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.017 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.017 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.017 * [taylor]: Taking taylor expansion of -1 in y 4.017 * [backup-simplify]: Simplify -1 into -1 4.017 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.017 * [taylor]: Taking taylor expansion of y in y 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of x in y 4.017 * [backup-simplify]: Simplify x into x 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.018 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.018 * [taylor]: Taking taylor expansion of -1 in y 4.018 * [backup-simplify]: Simplify -1 into -1 4.018 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.018 * [taylor]: Taking taylor expansion of y in y 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of x in y 4.018 * [backup-simplify]: Simplify x into x 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.018 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 4.018 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.018 * [taylor]: Taking taylor expansion of -1 in x 4.018 * [backup-simplify]: Simplify -1 into -1 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (/ -1 1) into -1 4.019 * [backup-simplify]: Simplify -1 into -1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.019 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 4.019 * [taylor]: Taking taylor expansion of 0 in x 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.021 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.021 * [taylor]: Taking taylor expansion of 0 in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.024 * [taylor]: Taking taylor expansion of 0 in x 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 4.025 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.025 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 4.025 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.025 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.025 * [taylor]: Taking taylor expansion of y in x 4.025 * [backup-simplify]: Simplify y into y 4.025 * [taylor]: Taking taylor expansion of x in x 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.025 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.025 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.025 * [taylor]: Taking taylor expansion of y in y 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [taylor]: Taking taylor expansion of x in y 4.025 * [backup-simplify]: Simplify x into x 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.025 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.025 * [taylor]: Taking taylor expansion of y in y 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [taylor]: Taking taylor expansion of x in y 4.025 * [backup-simplify]: Simplify x into x 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.026 * [taylor]: Taking taylor expansion of x in x 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.026 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.026 * [taylor]: Taking taylor expansion of 0 in x 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.028 * [taylor]: Taking taylor expansion of 0 in x 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.029 * [taylor]: Taking taylor expansion of 0 in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 4.030 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 4.030 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.030 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.030 * [taylor]: Taking taylor expansion of x in x 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.030 * [taylor]: Taking taylor expansion of y in x 4.030 * [backup-simplify]: Simplify y into y 4.030 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.030 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.030 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.030 * [taylor]: Taking taylor expansion of x in y 4.030 * [backup-simplify]: Simplify x into x 4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.030 * [taylor]: Taking taylor expansion of y in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (/ x 1) into x 4.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.031 * [taylor]: Taking taylor expansion of x in y 4.031 * [backup-simplify]: Simplify x into x 4.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.031 * [taylor]: Taking taylor expansion of y in y 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (/ x 1) into x 4.031 * [taylor]: Taking taylor expansion of x in x 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.032 * [taylor]: Taking taylor expansion of 0 in x 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in x 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [taylor]: Taking taylor expansion of 0 in x 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 4.035 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 4.035 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 4.035 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 4.036 * [taylor]: Taking taylor expansion of -1 in x 4.036 * [backup-simplify]: Simplify -1 into -1 4.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.036 * [taylor]: Taking taylor expansion of x in x 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.036 * [taylor]: Taking taylor expansion of y in x 4.036 * [backup-simplify]: Simplify y into y 4.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.036 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.036 * [taylor]: Taking taylor expansion of -1 in y 4.036 * [backup-simplify]: Simplify -1 into -1 4.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.036 * [taylor]: Taking taylor expansion of x in y 4.036 * [backup-simplify]: Simplify x into x 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.036 * [taylor]: Taking taylor expansion of y in y 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (* 1 1) into 1 4.036 * [backup-simplify]: Simplify (/ x 1) into x 4.036 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.036 * [taylor]: Taking taylor expansion of -1 in y 4.036 * [backup-simplify]: Simplify -1 into -1 4.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.036 * [taylor]: Taking taylor expansion of x in y 4.036 * [backup-simplify]: Simplify x into x 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.036 * [taylor]: Taking taylor expansion of y in y 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (/ x 1) into x 4.037 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 4.037 * [taylor]: Taking taylor expansion of (* -1 x) in x 4.037 * [taylor]: Taking taylor expansion of -1 in x 4.037 * [backup-simplify]: Simplify -1 into -1 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.037 * [backup-simplify]: Simplify -1 into -1 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 4.038 * [taylor]: Taking taylor expansion of 0 in x 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 4.041 * [taylor]: Taking taylor expansion of 0 in x 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.044 * [taylor]: Taking taylor expansion of 0 in x 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 4.045 * * * [progress]: simplifying candidates 4.049 * [simplify]: Simplifying: (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- 1) (- (- (log y) (- (log x) (log y)))) (- (- (log y) (log (/ x y)))) (- (log (/ y (/ x y)))) (- 0 (- (log y) (- (log x) (log y)))) (- 0 (- (log y) (log (/ x y)))) (- 0 (log (/ y (/ x y)))) (- (log 1) (- (log y) (- (log x) (log y)))) (- (log 1) (- (log y) (log (/ x y)))) (- (log 1) (log (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (exp (/ 1 (/ y (/ x y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (* (* 1 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (/ 1 (/ y (/ x y)))) (cbrt (/ 1 (/ y (/ x y))))) (cbrt (/ 1 (/ y (/ x y)))) (* (* (/ 1 (/ y (/ x y))) (/ 1 (/ y (/ x y)))) (/ 1 (/ y (/ x y)))) (sqrt (/ 1 (/ y (/ x y)))) (sqrt (/ 1 (/ y (/ x y)))) (- 1) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt 1) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 1))) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) x)) (/ (cbrt 1) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ y (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (/ x y)))) (/ (cbrt 1) (/ y (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ y (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ y (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) 1))) (/ (cbrt 1) (/ y (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (sqrt y)))) (/ (cbrt 1) (/ y (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 1))) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ y (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (sqrt 1) (cbrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) 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4.822 * * [simplify]: Extracting #0: cost 184 inf + 0 4.829 * * [simplify]: Extracting #1: cost 1847 inf + 705 4.858 * * [simplify]: Extracting #2: cost 1251 inf + 89553 4.944 * * [simplify]: Extracting #3: cost 182 inf + 287550 5.042 * * [simplify]: Extracting #4: cost 0 inf + 319458 5.138 * * [simplify]: Extracting #5: cost 0 inf + 318848 5.221 * * [simplify]: Extracting #6: cost 0 inf + 318688 5.303 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) -1 (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (exp (* (/ 1 y) (/ x y))) (* (/ 1 (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (/ 1 (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (/ 1 (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 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(* (/ 1 y) x) (/ 1 y) (* (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y))))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (sqrt (/ x y)))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ (* (/ 1 (cbrt y)) (sqrt x)) (cbrt y)) (/ 1 (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y)))) (/ (* 1 (/ (sqrt x) (sqrt y))) (cbrt y)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt x)) (* (/ 1 (cbrt y)) (/ (sqrt x) y)) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* 1 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y))) (sqrt y)) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ (* 1 (/ x (sqrt y))) (sqrt y)) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ (* 1 x) (sqrt y)) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ 1 y) (cbrt (/ x y))) (sqrt (/ x y)) (/ 1 (/ y (sqrt (/ x y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* (/ 1 y) (cbrt x)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ 1 (* (/ y (cbrt x)) (sqrt y))) (* (cbrt x) (cbrt x)) (* (/ 1 y) (/ (cbrt x) y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (* (/ 1 y) (sqrt x)) (cbrt y)) (/ (sqrt x) (sqrt y)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ (* 1 (/ (sqrt x) y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* (/ 1 y) x) (cbrt y)) (/ 1 (sqrt y)) (* (/ 1 y) (/ x (sqrt y))) 1 (* (/ 1 y) (/ x y)) 1 (* (/ 1 y) (/ x y)) x (/ 1 (* y y)) 1 (* (/ 1 y) (/ x y)) (/ 1 y) (/ x y) (* (/ 1 y) x) (/ 1 y) (* (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y))))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (sqrt (/ x y)))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ (* (/ 1 (cbrt y)) (sqrt x)) (cbrt y)) (/ 1 (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y)))) (/ (* 1 (/ (sqrt x) (sqrt y))) (cbrt y)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt x)) (* (/ 1 (cbrt y)) (/ (sqrt x) y)) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* 1 (/ x (cbrt y))) (cbrt y)) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (* (/ 1 (cbrt y)) (/ x (sqrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 (cbrt y)) (/ x y)) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 (cbrt y)) (/ x y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ 1 (* (cbrt y) y)) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt y)) (* (/ 1 (sqrt y)) (cbrt (/ x y))) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (/ 1 (sqrt y)) (cbrt x)) (cbrt y)) (/ (* (/ 1 (sqrt y)) (cbrt x)) (/ (sqrt y) (cbrt x))) (* (/ 1 (sqrt y)) (/ (cbrt x) (sqrt y))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (* (/ 1 (sqrt y)) (cbrt x)) y) (/ (* (/ 1 (sqrt y)) (sqrt x)) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (sqrt y) (sqrt x)) (cbrt y))) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* 1 (sqrt x)) (sqrt y)) (/ 1 (/ (sqrt y) (/ (sqrt x) y))) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (* 1 (/ x (cbrt y))) (sqrt y)) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ (* 1 (/ x (sqrt y))) (sqrt y)) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ (* 1 x) (sqrt y)) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ 1 y) (cbrt (/ x y))) (sqrt (/ x y)) (/ 1 (/ y (sqrt (/ x y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* (/ 1 y) (cbrt x)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ 1 (* (/ y (cbrt x)) (sqrt y))) (* (cbrt x) (cbrt x)) (* (/ 1 y) (/ (cbrt x) y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (* (/ 1 y) (sqrt x)) (cbrt y)) (/ (sqrt x) (sqrt y)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ (* 1 (/ (sqrt x) y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* (/ 1 y) x) (cbrt y)) (/ 1 (sqrt y)) (* (/ 1 y) (/ x (sqrt y))) 1 (* (/ 1 y) (/ x y)) 1 (* (/ 1 y) (/ x y)) x (/ 1 (* y y)) 1 (* (/ 1 y) (/ x y)) (/ 1 y) (/ x y) (* (/ 1 y) x) (/ 1 y) (* (/ 1 y) (/ x y)) (/ y (/ x y)) (* (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y))))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ 1 (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y)))) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt x)) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt y)) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (/ 1 (sqrt y)) (cbrt x)) (/ (sqrt y) (cbrt x))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (* (/ 1 (sqrt y)) (sqrt x)) (* (cbrt y) (cbrt y))) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* 1 (sqrt x)) (sqrt y)) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ (* 1 x) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (sqrt y)) (sqrt x) (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (* (/ 1 y) x) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ 1 y) (expm1 (/ y (/ x y))) (log1p (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (exp (/ y (/ x y))) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y))) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (- y) (- (/ x y)) (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (/ (sqrt (/ x y)) (cbrt y))) (/ (cbrt y) (sqrt (/ x y))) (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y))) (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt y)) (* (/ (cbrt y) (cbrt x)) (sqrt y)) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) y) (cbrt x)) (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (/ (cbrt y) (/ (sqrt x) y)) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (cbrt y) (/ x (cbrt y))) (* (* (sqrt y) (cbrt y)) (cbrt y)) (* (/ (cbrt y) x) (sqrt y)) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (/ (* (cbrt y) (cbrt y)) x) (* (cbrt y) y) (/ (/ (sqrt y) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ (* (sqrt y) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) (sqrt x)) (cbrt y)) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (* (sqrt y) (cbrt y)) (cbrt y)) (/ (* (sqrt y) (cbrt y)) x) (* (sqrt y) (sqrt y)) (* (/ (sqrt y) x) (sqrt y)) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* (sqrt y) y) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* y (cbrt y)) (cbrt x)) (* (/ 1 (* (cbrt x) (cbrt x))) (sqrt y)) (* (/ y (cbrt x)) (sqrt y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (* y y) (cbrt x)) (/ 1 (/ (/ (sqrt x) (cbrt y)) (cbrt y))) (* (/ y (sqrt x)) (cbrt y)) (/ (* 1 (sqrt y)) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ y (/ (sqrt x) y)) (* (cbrt y) (cbrt y)) (* (/ y x) (cbrt y)) (sqrt y) (/ y (/ x (sqrt y))) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (* y y) (/ (* 1 y) x) (/ (/ x y) y) (/ (/ y (cbrt (/ x y))) (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* y (sqrt y)) (* (cbrt x) (cbrt x))) (/ y (* (cbrt x) (cbrt x))) (/ y (/ (/ (sqrt x) (cbrt y)) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (sqrt x)) (* (* y (cbrt y)) (cbrt y)) (* y (sqrt y)) y y (/ y x) (/ x (* (cbrt y) y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 5.334 * * * [progress]: adding candidates to table 6.578 * [progress]: [Phase 3 of 3] Extracting. 6.578 * * [regime]: Finding splitpoints for: (# # # # # #) 6.579 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 6.579 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 6.630 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 6.692 * * * * [regimes]: Trying to branch on y from (# # # # # #) 6.751 * * * * [regimes]: Trying to branch on x from (# # # # # #) 6.791 * * * [regime]: Found split indices: #