12.978 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (- (/ x (* y y)) 3.0) 0.025 * * [simplify]: iteration 0: 6 enodes 0.027 * * [simplify]: iteration 1: 10 enodes 0.030 * * [simplify]: iteration 2: 11 enodes 0.033 * * [simplify]: iteration complete: 11 enodes 0.033 * * [simplify]: Extracting #0: cost 1 inf + 0 0.033 * * [simplify]: Extracting #1: cost 4 inf + 0 0.033 * * [simplify]: Extracting #2: cost 6 inf + 3 0.033 * * [simplify]: Extracting #3: cost 3 inf + 8 0.033 * * [simplify]: Extracting #4: cost 0 inf + 23 0.033 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.061 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.061 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (/ x 1) into x 0.062 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.062 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.063 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 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 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.068 * [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 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.070 * [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 0.070 * [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 0 into 0 0.071 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.071 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.071 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.071 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.071 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.071 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.072 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.078 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.078 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.079 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.080 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.080 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.080 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [backup-simplify]: Simplify -1 into -1 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (* -1 1) into -1 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.092 * * * [progress]: simplifying candidates 0.092 * [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)) 0.092 * * [simplify]: iteration 0: 45 enodes 0.099 * * [simplify]: iteration 1: 112 enodes 0.163 * * [simplify]: iteration 2: 616 enodes 0.482 * * [simplify]: iteration complete: 5001 enodes 0.482 * * [simplify]: Extracting #0: cost 20 inf + 0 0.483 * * [simplify]: Extracting #1: cost 750 inf + 0 0.491 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.506 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.521 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.535 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.549 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.556 * [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)) (pow (/ (/ x y) y) 3) (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)) (- 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) 0.556 * * * [progress]: adding candidates to table 0.655 * * [progress]: iteration 2 / 4 0.655 * * * [progress]: picking best candidate 0.672 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.705 * * * [progress]: generating series expansions 0.705 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.705 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.705 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [backup-simplify]: Simplify x into x 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (/ x 1) into x 0.706 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [backup-simplify]: Simplify y into y 0.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.706 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [backup-simplify]: Simplify y into y 0.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.708 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.712 * [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 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.715 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.715 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.715 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [backup-simplify]: Simplify x into x 0.715 * [backup-simplify]: Simplify (* 1 1) into 1 0.715 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.715 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [backup-simplify]: Simplify y into y 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.716 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.716 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [backup-simplify]: Simplify y into y 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.716 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (* 1 1) into 1 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.721 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.721 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.721 * [taylor]: Taking taylor expansion of -1 in y 0.721 * [backup-simplify]: Simplify -1 into -1 0.721 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of x in y 0.722 * [backup-simplify]: Simplify x into x 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.722 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [backup-simplify]: Simplify -1 into -1 0.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [backup-simplify]: Simplify y into y 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.722 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.722 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [backup-simplify]: Simplify -1 into -1 0.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [backup-simplify]: Simplify y into y 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.723 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.723 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.723 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of -1 in y 0.723 * [backup-simplify]: Simplify -1 into -1 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (* -1 1) into -1 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.731 * * * [progress]: simplifying candidates 0.732 * [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)) 0.733 * * [simplify]: iteration 0: 142 enodes 0.786 * * [simplify]: iteration 1: 343 enodes 0.948 * * [simplify]: iteration 2: 1637 enodes 1.602 * * [simplify]: iteration complete: 5000 enodes 1.602 * * [simplify]: Extracting #0: cost 84 inf + 0 1.604 * * [simplify]: Extracting #1: cost 816 inf + 2 1.609 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.616 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.624 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.633 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.646 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.664 * [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))) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ x y) 3) (pow 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))) (/ (- x) y) (- y) (* (/ (cbrt (/ x y)) (* (cbrt y) (cbrt y))) (cbrt (/ x 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 x)) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (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) (pow (cbrt y) 3))) (/ (/ (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) (pow (cbrt y) 3))) (/ 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) 1.665 * * * [progress]: adding candidates to table 1.968 * * [progress]: iteration 3 / 4 1.968 * * * [progress]: picking best candidate 2.001 * * * * [pick]: Picked # 2.002 * * * [progress]: localizing error 2.022 * * * [progress]: generating rewritten candidates 2.022 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 2.100 * * * [progress]: generating series expansions 2.100 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.100 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 2.100 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.101 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.101 * [taylor]: Taking taylor expansion of y in x 2.101 * [backup-simplify]: Simplify y into y 2.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.101 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [backup-simplify]: Simplify x into x 2.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ x 1) into x 2.102 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.102 * [taylor]: Taking taylor expansion of x in y 2.102 * [backup-simplify]: Simplify x into x 2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ x 1) into x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.104 * [taylor]: Taking taylor expansion of 0 in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [taylor]: Taking taylor expansion of 0 in x 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [taylor]: Taking taylor expansion of 0 in x 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 2.111 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 2.111 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.111 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.111 * [taylor]: Taking taylor expansion of y in x 2.111 * [backup-simplify]: Simplify y into y 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.111 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.111 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.111 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of x in y 2.111 * [backup-simplify]: Simplify x into x 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.112 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.112 * [taylor]: Taking taylor expansion of y in y 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [taylor]: Taking taylor expansion of x in y 2.112 * [backup-simplify]: Simplify x into x 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.114 * [taylor]: Taking taylor expansion of 0 in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in x 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 2.120 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 2.120 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 2.120 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.120 * [taylor]: Taking taylor expansion of -1 in x 2.120 * [backup-simplify]: Simplify -1 into -1 2.120 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.120 * [taylor]: Taking taylor expansion of y in x 2.120 * [backup-simplify]: Simplify y into y 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 (* y y) into (pow y 2) 2.121 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.121 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.121 * [taylor]: Taking taylor expansion of -1 in y 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.121 * [taylor]: Taking taylor expansion of y in y 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of x in y 2.121 * [backup-simplify]: Simplify x into x 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.121 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.121 * [taylor]: Taking taylor expansion of -1 in y 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.121 * [taylor]: Taking taylor expansion of y in y 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of x in y 2.122 * [backup-simplify]: Simplify x into x 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.122 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 2.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.122 * [taylor]: Taking taylor expansion of -1 in x 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ -1 1) into -1 2.123 * [backup-simplify]: Simplify -1 into -1 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 2.124 * [taylor]: Taking taylor expansion of 0 in x 2.124 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in x 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.128 * [taylor]: Taking taylor expansion of 0 in x 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 2.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 2.129 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 2.129 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.129 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.129 * [taylor]: Taking taylor expansion of y in x 2.129 * [backup-simplify]: Simplify y into y 2.129 * [taylor]: Taking taylor expansion of x in x 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.129 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.129 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.129 * [taylor]: Taking taylor expansion of y in y 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [taylor]: Taking taylor expansion of x in y 2.129 * [backup-simplify]: Simplify x into x 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.130 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.130 * [taylor]: Taking taylor expansion of y in y 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of x in y 2.130 * [backup-simplify]: Simplify x into x 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in x 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.132 * [taylor]: Taking taylor expansion of 0 in x 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in x 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 2.134 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 2.134 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.134 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.134 * [taylor]: Taking taylor expansion of y in x 2.134 * [backup-simplify]: Simplify y into y 2.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.135 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.135 * [taylor]: Taking taylor expansion of x in y 2.135 * [backup-simplify]: Simplify x into x 2.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.135 * [taylor]: Taking taylor expansion of y in y 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ x 1) into x 2.135 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.135 * [taylor]: Taking taylor expansion of x in y 2.135 * [backup-simplify]: Simplify x into x 2.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.135 * [taylor]: Taking taylor expansion of y in y 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ x 1) into x 2.136 * [taylor]: Taking taylor expansion of x in x 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [taylor]: Taking taylor expansion of 0 in x 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in x 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 2.144 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 2.144 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 2.144 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 2.144 * [taylor]: Taking taylor expansion of -1 in x 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.144 * [taylor]: Taking taylor expansion of y in x 2.144 * [backup-simplify]: Simplify y into y 2.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.144 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 2.144 * [taylor]: Taking taylor expansion of -1 in y 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.144 * [taylor]: Taking taylor expansion of x in y 2.144 * [backup-simplify]: Simplify x into x 2.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.145 * [taylor]: Taking taylor expansion of y in y 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ x 1) into x 2.145 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 2.145 * [taylor]: Taking taylor expansion of -1 in y 2.145 * [backup-simplify]: Simplify -1 into -1 2.145 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.145 * [taylor]: Taking taylor expansion of x in y 2.145 * [backup-simplify]: Simplify x into x 2.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.145 * [taylor]: Taking taylor expansion of y in y 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.146 * [backup-simplify]: Simplify (/ x 1) into x 2.146 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 2.146 * [taylor]: Taking taylor expansion of (* -1 x) in x 2.146 * [taylor]: Taking taylor expansion of -1 in x 2.146 * [backup-simplify]: Simplify -1 into -1 2.146 * [taylor]: Taking taylor expansion of x in x 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.147 * [backup-simplify]: Simplify -1 into -1 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 2.149 * [taylor]: Taking taylor expansion of 0 in x 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in x 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.156 * [taylor]: Taking taylor expansion of 0 in x 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 2.156 * * * [progress]: simplifying candidates 2.160 * [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)))) 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(/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ y (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ y (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ y (/ x y)) (/ 1 1) (/ y (/ x y)) (/ 1 x) (/ y (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) y) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ y (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) 1)) (/ y (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 1)) (/ y 1) (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 2.165 * * [simplify]: iteration 0: 421 enodes 2.533 * * [simplify]: iteration 1: 1203 enodes 2.963 * * [simplify]: iteration complete: 5001 enodes 2.964 * * [simplify]: Extracting #0: cost 184 inf + 0 2.971 * * [simplify]: Extracting #1: cost 1847 inf + 46 2.982 * * [simplify]: Extracting #2: cost 1251 inf + 4259 2.990 * * [simplify]: Extracting #3: cost 182 inf + 13239 3.003 * * [simplify]: Extracting #4: cost 0 inf + 14725 3.008 * * [simplify]: Extracting #5: cost 0 inf + 14723 3.018 * [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)))) (pow (exp (/ 1 y)) (/ x y)) (* (/ 1 (pow y 3)) (/ (pow x 3) (pow y 3))) (/ (pow (/ x y) 3) (pow y 3)) (/ 1 (pow (/ y (/ x y)) 3)) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (pow (* (/ 1 y) (/ x y)) 3) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) -1 (/ (- y) (/ x y)) (/ 1 (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt 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 y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ (* (/ 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(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) (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))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt 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 y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ (* (/ 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) (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))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt 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 y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ (* (/ 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) (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))) (cbrt (/ y (/ x y))))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt y))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ 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) (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))) (* (/ (pow y 3) (pow x 3)) (pow y 3)) (/ (pow y 3) (pow (/ x y) 3)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (pow (/ y (/ x y)) 3) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (- 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 y)) (/ (* (cbrt x) (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 y) (cbrt y))) (* (cbrt x) (cbrt x))) (/ (* 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) 3.022 * * * [progress]: adding candidates to table 4.044 * * [progress]: iteration 4 / 4 4.044 * * * [progress]: picking best candidate 4.074 * * * * [pick]: Picked # 4.074 * * * [progress]: localizing error 4.094 * * * [progress]: generating rewritten candidates 4.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 4.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 4.151 * * * [progress]: generating series expansions 4.151 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 4.151 * [backup-simplify]: Simplify (/ 1 (* (/ y x) y)) into (/ x (pow y 2)) 4.151 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.151 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.151 * [taylor]: Taking taylor expansion of x in x 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.151 * [taylor]: Taking taylor expansion of y in x 4.151 * [backup-simplify]: Simplify y into y 4.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.151 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.152 * [taylor]: Taking taylor expansion of x in y 4.152 * [backup-simplify]: Simplify x into x 4.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.152 * [taylor]: Taking taylor expansion of y in y 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (/ x 1) into x 4.153 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.153 * [taylor]: Taking taylor expansion of x in y 4.153 * [backup-simplify]: Simplify x into x 4.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.153 * [taylor]: Taking taylor expansion of y in y 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (* 1 1) into 1 4.153 * [backup-simplify]: Simplify (/ x 1) into x 4.153 * [taylor]: Taking taylor expansion of x in x 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.155 * [taylor]: Taking taylor expansion of 0 in x 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [taylor]: Taking taylor expansion of 0 in x 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [taylor]: Taking taylor expansion of 0 in x 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 4.162 * [backup-simplify]: Simplify (/ 1 (* (/ (/ 1 y) (/ 1 x)) (/ 1 y))) into (/ (pow y 2) x) 4.162 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.162 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.162 * [taylor]: Taking taylor expansion of y in x 4.162 * [backup-simplify]: Simplify y into y 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.162 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.162 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.162 * [taylor]: Taking taylor expansion of y in y 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of x in y 4.162 * [backup-simplify]: Simplify x into x 4.163 * [backup-simplify]: Simplify (* 1 1) into 1 4.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.163 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.163 * [taylor]: Taking taylor expansion of y in y 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [taylor]: Taking taylor expansion of x in y 4.163 * [backup-simplify]: Simplify x into x 4.163 * [backup-simplify]: Simplify (* 1 1) into 1 4.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (/ 1 1) into 1 4.164 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.165 * [taylor]: Taking taylor expansion of 0 in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.167 * [taylor]: Taking taylor expansion of 0 in x 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.169 * [taylor]: Taking taylor expansion of 0 in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 4.171 * [backup-simplify]: Simplify (/ 1 (* (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 4.171 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 4.171 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.171 * [taylor]: Taking taylor expansion of y in x 4.171 * [backup-simplify]: Simplify y into y 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.172 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.172 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.172 * [taylor]: Taking taylor expansion of -1 in y 4.172 * [backup-simplify]: Simplify -1 into -1 4.172 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.172 * [taylor]: Taking taylor expansion of y in y 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of x in y 4.172 * [backup-simplify]: Simplify x into x 4.172 * [backup-simplify]: Simplify (* 1 1) into 1 4.172 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.172 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.172 * [taylor]: Taking taylor expansion of -1 in y 4.172 * [backup-simplify]: Simplify -1 into -1 4.173 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.173 * [taylor]: Taking taylor expansion of y in y 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [taylor]: Taking taylor expansion of x in y 4.173 * [backup-simplify]: Simplify x into x 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.173 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.173 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 4.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.173 * [taylor]: Taking taylor expansion of -1 in x 4.173 * [backup-simplify]: Simplify -1 into -1 4.173 * [taylor]: Taking taylor expansion of x in x 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (/ -1 1) into -1 4.174 * [backup-simplify]: Simplify -1 into -1 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.175 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 4.175 * [taylor]: Taking taylor expansion of 0 in x 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.178 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.179 * [taylor]: Taking taylor expansion of 0 in x 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.183 * [taylor]: Taking taylor expansion of 0 in x 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 4.184 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 4.184 * [backup-simplify]: Simplify (* (/ y x) y) into (/ (pow y 2) x) 4.184 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.184 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.184 * [taylor]: Taking taylor expansion of y in x 4.184 * [backup-simplify]: Simplify y into y 4.184 * [taylor]: Taking taylor expansion of x in x 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.185 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.185 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.185 * [taylor]: Taking taylor expansion of y in y 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [taylor]: Taking taylor expansion of x in y 4.185 * [backup-simplify]: Simplify x into x 4.185 * [backup-simplify]: Simplify (* 1 1) into 1 4.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.185 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.185 * [taylor]: Taking taylor expansion of y in y 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of x in y 4.186 * [backup-simplify]: Simplify x into x 4.186 * [backup-simplify]: Simplify (* 1 1) into 1 4.186 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.186 * [taylor]: Taking taylor expansion of x in x 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (/ 1 1) into 1 4.187 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.188 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.188 * [taylor]: Taking taylor expansion of 0 in x 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.190 * [taylor]: Taking taylor expansion of 0 in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.193 * [taylor]: Taking taylor expansion of 0 in x 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 4.194 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) (/ 1 y)) into (/ x (pow y 2)) 4.194 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.194 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.194 * [taylor]: Taking taylor expansion of x in x 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.194 * [taylor]: Taking taylor expansion of y in x 4.194 * [backup-simplify]: Simplify y into y 4.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.195 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (* 1 1) into 1 4.195 * [backup-simplify]: Simplify (/ x 1) into x 4.195 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (* 1 1) into 1 4.196 * [backup-simplify]: Simplify (/ x 1) into x 4.196 * [taylor]: Taking taylor expansion of x in x 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.198 * [taylor]: Taking taylor expansion of 0 in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [taylor]: Taking taylor expansion of 0 in x 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.203 * [taylor]: Taking taylor expansion of 0 in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 4.204 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y))) into (* -1 (/ x (pow y 2))) 4.204 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 4.204 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 4.204 * [taylor]: Taking taylor expansion of -1 in x 4.204 * [backup-simplify]: Simplify -1 into -1 4.204 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.204 * [taylor]: Taking taylor expansion of x in x 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.204 * [taylor]: Taking taylor expansion of y in x 4.204 * [backup-simplify]: Simplify y into y 4.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.205 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.205 * [taylor]: Taking taylor expansion of -1 in y 4.205 * [backup-simplify]: Simplify -1 into -1 4.205 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.205 * [taylor]: Taking taylor expansion of x in y 4.205 * [backup-simplify]: Simplify x into x 4.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.205 * [taylor]: Taking taylor expansion of y in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.205 * [backup-simplify]: Simplify (/ x 1) into x 4.205 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.205 * [taylor]: Taking taylor expansion of -1 in y 4.205 * [backup-simplify]: Simplify -1 into -1 4.205 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.205 * [taylor]: Taking taylor expansion of x in y 4.205 * [backup-simplify]: Simplify x into x 4.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.206 * [taylor]: Taking taylor expansion of y in y 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (/ x 1) into x 4.206 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 4.206 * [taylor]: Taking taylor expansion of (* -1 x) in x 4.206 * [taylor]: Taking taylor expansion of -1 in x 4.206 * [backup-simplify]: Simplify -1 into -1 4.206 * [taylor]: Taking taylor expansion of x in x 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.207 * [backup-simplify]: Simplify -1 into -1 4.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 4.209 * [taylor]: Taking taylor expansion of 0 in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 4.219 * [taylor]: Taking taylor expansion of 0 in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.220 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.225 * [taylor]: Taking taylor expansion of 0 in x 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 4.225 * * * [progress]: simplifying candidates 4.227 * [simplify]: Simplifying: (expm1 (/ 1 (* (/ y x) y))) (log1p (/ 1 (* (/ y x) y))) (- 1) (- 1) (- (+ (- (log y) (log x)) (log y))) (- (+ (log (/ y x)) (log y))) (- (log (* (/ y x) y))) (- 0 (+ (- (log y) (log x)) (log y))) (- 0 (+ (log (/ y x)) (log y))) (- 0 (log (* (/ y x) y))) (- (log 1) (+ (- (log y) (log x)) (log y))) (- (log 1) (+ (log (/ y x)) (log 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 x) (/ y x)) (/ y x)) (* (* y y) 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)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (/ y x)) (/ (sqrt 1) y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (* (/ y x) y)) (/ (* (/ y x) y) 1) (/ 1 (/ y x)) (/ (* (/ y x) y) (cbrt 1)) (/ (* (/ y x) y) (sqrt 1)) (/ (* (/ y x) y) 1) (/ 1 (* y y)) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (* (/ y x) y) (+ (- (log y) (log x)) (log y)) (+ (log (/ y x)) (log y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) 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)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ y x) (sqrt y)) (* (/ y x) 1) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (* (/ y x) y) (* (/ y x) y) (* (/ 1 x) y) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 4.229 * * [simplify]: iteration 0: 106 enodes 4.273 * * [simplify]: iteration 1: 263 enodes 4.397 * * [simplify]: iteration 2: 1405 enodes 5.606 * * [simplify]: iteration complete: 5000 enodes 5.606 * * [simplify]: Extracting #0: cost 40 inf + 0 5.608 * * [simplify]: Extracting #1: cost 865 inf + 1 5.613 * * [simplify]: Extracting #2: cost 1749 inf + 98 5.624 * * [simplify]: Extracting #3: cost 771 inf + 6377 5.631 * * [simplify]: Extracting #4: cost 28 inf + 12181 5.643 * * [simplify]: Extracting #5: cost 0 inf + 12395 5.655 * * [simplify]: Extracting #6: cost 0 inf + 12387 5.663 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) -1 -1 (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)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (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)) -1 (- (/ (* y y) x)) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ (/ x y) y) (/ (* y y) x) (/ x y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ 1 (* y y)) (expm1 (/ (* y y) x)) (log1p (/ (* y y) x)) (/ (* y y) x) (log (/ (* y y) x)) (log (/ (* y y) x)) (log (/ (* y y) x)) (pow (exp y) (/ y x)) (pow (/ (* y y) x) 3) (pow (/ (* y y) x) 3) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x)) (pow (/ (* y y) x) 3) (sqrt (/ (* y y) x)) (sqrt (/ (* y y) x)) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (/ y (sqrt x)) (/ y (sqrt x)) (* (* (cbrt y) (/ y x)) (cbrt y)) (/ (* y (sqrt y)) x) (/ y x) (* y (cbrt (/ y x))) (* (sqrt (/ y x)) y) (* y (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) y) (sqrt x)) (* (/ (cbrt y) x) y) (/ (sqrt y) (/ (cbrt x) y)) (* (/ (sqrt y) (sqrt x)) y) (/ (sqrt y) (/ x y)) (* y (/ y (cbrt x))) (/ y (/ (sqrt x) y)) (/ (* y y) x) (/ (* y y) x) (/ y x) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 5.664 * * * [progress]: adding candidates to table 5.926 * [progress]: [Phase 3 of 3] Extracting. 5.926 * * [regime]: Finding splitpoints for: (# # # # #) 5.927 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 5.927 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 5.984 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # #) 6.031 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # #) 6.078 * * * * [regimes]: Trying to branch on y from (# # # # #) 6.124 * * * * [regimes]: Trying to branch on x from (# # # # #) 6.174 * * * [regime]: Found split indices: #