1.507 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (/ x (* y y)) 0.035 * * [simplify]: iteration 0: 4 enodes 0.036 * * [simplify]: iteration 1: 6 enodes 0.038 * * [simplify]: iteration complete: 6 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.038 * * [simplify]: Extracting #1: cost 5 inf + 0 0.038 * * [simplify]: Extracting #2: cost 2 inf + 5 0.038 * * [simplify]: Extracting #3: cost 0 inf + 13 0.038 * [simplify]: Simplified to: (/ x (* y y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.066 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [backup-simplify]: Simplify x into x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ x 1) into x 0.067 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.067 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.075 * [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 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.079 * [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 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.080 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.080 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 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 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.081 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.081 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.081 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.082 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) 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 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [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 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [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 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.090 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.090 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.096 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.097 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.097 * [taylor]: Taking taylor expansion of -1 in x 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.097 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of -1 in y 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (* -1 1) into -1 0.098 * [backup-simplify]: Simplify -1 into -1 0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.106 * * * [progress]: simplifying candidates 0.106 * [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)) 0.107 * * [simplify]: iteration 0: 45 enodes 0.114 * * [simplify]: iteration 1: 112 enodes 0.183 * * [simplify]: iteration 2: 616 enodes 0.525 * * [simplify]: iteration complete: 5001 enodes 0.525 * * [simplify]: Extracting #0: cost 20 inf + 0 0.528 * * [simplify]: Extracting #1: cost 750 inf + 0 0.538 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.553 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.574 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.589 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.604 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.618 * [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) 0.618 * * * [progress]: adding candidates to table 0.708 * * [progress]: iteration 2 / 4 0.708 * * * [progress]: picking best candidate 0.738 * * * * [pick]: Picked # 0.738 * * * [progress]: localizing error 0.743 * * * [progress]: generating rewritten candidates 0.745 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.757 * * * [progress]: generating series expansions 0.757 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.757 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.757 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [backup-simplify]: Simplify x into x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (/ x 1) into x 0.758 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.758 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.759 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.759 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.764 * [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 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.769 * [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 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.769 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.769 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.769 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [backup-simplify]: Simplify x into x 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.770 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [backup-simplify]: Simplify y into y 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.770 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.770 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [backup-simplify]: Simplify y into y 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.770 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.779 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.779 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.779 * [taylor]: Taking taylor expansion of -1 in y 0.779 * [backup-simplify]: Simplify -1 into -1 0.779 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [backup-simplify]: Simplify x into x 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.780 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.780 * [taylor]: Taking taylor expansion of -1 in x 0.780 * [backup-simplify]: Simplify -1 into -1 0.780 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [backup-simplify]: Simplify y into y 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.780 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.780 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.780 * [taylor]: Taking taylor expansion of -1 in x 0.780 * [backup-simplify]: Simplify -1 into -1 0.780 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [backup-simplify]: Simplify y into y 0.780 * [taylor]: Taking taylor expansion of x in x 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.781 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.781 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.781 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of -1 in y 0.781 * [backup-simplify]: Simplify -1 into -1 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (* -1 1) into -1 0.782 * [backup-simplify]: Simplify -1 into -1 0.782 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.789 * * * [progress]: simplifying candidates 0.790 * [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)) 0.791 * * [simplify]: iteration 0: 142 enodes 0.825 * * [simplify]: iteration 1: 343 enodes 1.006 * * [simplify]: iteration 2: 1637 enodes 1.571 * * [simplify]: iteration complete: 5000 enodes 1.571 * * [simplify]: Extracting #0: cost 84 inf + 0 1.574 * * [simplify]: Extracting #1: cost 816 inf + 2 1.583 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.597 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.606 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.613 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.620 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.631 * [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) 1.632 * * * [progress]: adding candidates to table 1.922 * * [progress]: iteration 3 / 4 1.922 * * * [progress]: picking best candidate 1.953 * * * * [pick]: Picked # 1.953 * * * [progress]: localizing error 1.967 * * * [progress]: generating rewritten candidates 1.967 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.997 * * * [progress]: generating series expansions 1.997 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.997 * [backup-simplify]: Simplify (* (/ 1 y) (/ x y)) into (/ x (pow y 2)) 1.997 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 1.997 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.997 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.997 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.998 * [backup-simplify]: Simplify x into x 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.998 * [taylor]: Taking taylor expansion of y in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ x 1) into x 1.998 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.998 * [taylor]: Taking taylor expansion of x in y 1.998 * [backup-simplify]: Simplify x into x 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.998 * [taylor]: Taking taylor expansion of y in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ x 1) into x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 2.003 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (/ 1 x) (/ 1 y))) into (/ (pow y 2) x) 2.003 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.003 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.003 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.003 * [backup-simplify]: Simplify y into y 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.004 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.004 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.004 * [taylor]: Taking taylor expansion of y in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of x in y 2.004 * [backup-simplify]: Simplify x into x 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.004 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.004 * [taylor]: Taking taylor expansion of y in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of x in y 2.004 * [backup-simplify]: Simplify x into x 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.006 * [taylor]: Taking taylor expansion of 0 in x 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.008 * [taylor]: Taking taylor expansion of 0 in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 2.009 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 2.009 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 2.009 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.009 * [taylor]: Taking taylor expansion of -1 in x 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [backup-simplify]: Simplify y into y 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.009 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.009 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.009 * [taylor]: Taking taylor expansion of -1 in y 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.009 * [taylor]: Taking taylor expansion of y in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [taylor]: Taking taylor expansion of x in y 2.009 * [backup-simplify]: Simplify x into x 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.009 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.009 * [taylor]: Taking taylor expansion of -1 in y 2.010 * [backup-simplify]: Simplify -1 into -1 2.010 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.010 * [taylor]: Taking taylor expansion of y in y 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of x in y 2.010 * [backup-simplify]: Simplify x into x 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.014 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 2.014 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.014 * [taylor]: Taking taylor expansion of -1 in x 2.014 * [backup-simplify]: Simplify -1 into -1 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ -1 1) into -1 2.014 * [backup-simplify]: Simplify -1 into -1 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 2.016 * [taylor]: Taking taylor expansion of 0 in x 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.019 * [taylor]: Taking taylor expansion of 0 in x 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 2.025 * * * [progress]: simplifying candidates 2.026 * [simplify]: Simplifying: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.028 * * [simplify]: iteration 0: 112 enodes 2.079 * * [simplify]: iteration 1: 350 enodes 2.412 * * [simplify]: iteration 2: 2093 enodes 3.312 * * [simplify]: iteration complete: 5001 enodes 3.312 * * [simplify]: Extracting #0: cost 35 inf + 0 3.314 * * [simplify]: Extracting #1: cost 643 inf + 1 3.322 * * [simplify]: Extracting #2: cost 1720 inf + 297 3.333 * * [simplify]: Extracting #3: cost 802 inf + 5517 3.344 * * [simplify]: Extracting #4: cost 83 inf + 10838 3.355 * * [simplify]: Extracting #5: cost 0 inf + 11536 3.366 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (pow x 3) (pow y 3)) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ 1 y) 3) (/ (pow y 3) (pow x 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) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) y) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) y) (* (cbrt y) (cbrt y))) (/ (* (/ (cbrt x) (sqrt y)) (cbrt x)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (/ (* x (cbrt (/ 1 y))) y) (/ (* x (sqrt (/ 1 y))) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 3.367 * * * [progress]: adding candidates to table 3.553 * * [progress]: iteration 4 / 4 3.553 * * * [progress]: picking best candidate 3.577 * * * * [pick]: Picked # 3.577 * * * [progress]: localizing error 3.584 * * * [progress]: generating rewritten candidates 3.584 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.603 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.631 * * * [progress]: generating series expansions 3.631 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.632 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 3.632 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.632 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.632 * [taylor]: Taking taylor expansion of y in x 3.632 * [backup-simplify]: Simplify y into y 3.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.632 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.632 * [taylor]: Taking taylor expansion of x in y 3.632 * [backup-simplify]: Simplify x into x 3.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.632 * [taylor]: Taking taylor expansion of y in y 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (* 1 1) into 1 3.632 * [backup-simplify]: Simplify (/ x 1) into x 3.633 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [backup-simplify]: Simplify x into x 3.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.633 * [taylor]: Taking taylor expansion of y in y 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (* 1 1) into 1 3.633 * [backup-simplify]: Simplify (/ x 1) into x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.634 * [taylor]: Taking taylor expansion of 0 in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [taylor]: Taking taylor expansion of 0 in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.637 * [taylor]: Taking taylor expansion of 0 in x 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 3.638 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 3.638 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.638 * [taylor]: Taking taylor expansion of y in x 3.638 * [backup-simplify]: Simplify y into y 3.638 * [taylor]: Taking taylor expansion of x in x 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.638 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.638 * [taylor]: Taking taylor expansion of y in y 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of x in y 3.638 * [backup-simplify]: Simplify x into x 3.638 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.638 * [taylor]: Taking taylor expansion of y in y 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of x in y 3.638 * [backup-simplify]: Simplify x into x 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.640 * [taylor]: Taking taylor expansion of 0 in x 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.641 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.641 * [taylor]: Taking taylor expansion of 0 in x 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.644 * [taylor]: Taking taylor expansion of 0 in x 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 3.646 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 3.646 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 3.646 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.646 * [taylor]: Taking taylor expansion of -1 in x 3.646 * [backup-simplify]: Simplify -1 into -1 3.646 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.646 * [taylor]: Taking taylor expansion of y in x 3.646 * [backup-simplify]: Simplify y into y 3.646 * [taylor]: Taking taylor expansion of x in x 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.647 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.647 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.647 * [taylor]: Taking taylor expansion of -1 in y 3.647 * [backup-simplify]: Simplify -1 into -1 3.647 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.647 * [taylor]: Taking taylor expansion of y in y 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of x in y 3.647 * [backup-simplify]: Simplify x into x 3.648 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.648 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.648 * [taylor]: Taking taylor expansion of -1 in y 3.648 * [backup-simplify]: Simplify -1 into -1 3.648 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.648 * [taylor]: Taking taylor expansion of y in y 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [taylor]: Taking taylor expansion of x in y 3.648 * [backup-simplify]: Simplify x into x 3.648 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.649 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 3.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.649 * [taylor]: Taking taylor expansion of -1 in x 3.649 * [backup-simplify]: Simplify -1 into -1 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (/ -1 1) into -1 3.649 * [backup-simplify]: Simplify -1 into -1 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 3.651 * [taylor]: Taking taylor expansion of 0 in x 3.651 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.653 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.654 * [taylor]: Taking taylor expansion of 0 in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.658 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.658 * [taylor]: Taking taylor expansion of 0 in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 3.659 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.660 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 3.660 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.660 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.660 * [taylor]: Taking taylor expansion of y in x 3.660 * [backup-simplify]: Simplify y into y 3.660 * [taylor]: Taking taylor expansion of x in x 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.660 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.660 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.660 * [taylor]: Taking taylor expansion of y in y 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [taylor]: Taking taylor expansion of x in y 3.660 * [backup-simplify]: Simplify x into x 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.661 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.661 * [taylor]: Taking taylor expansion of y in y 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [taylor]: Taking taylor expansion of x in y 3.661 * [backup-simplify]: Simplify x into x 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.662 * [taylor]: Taking taylor expansion of x in x 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.663 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.663 * [taylor]: Taking taylor expansion of 0 in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.665 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.665 * [taylor]: Taking taylor expansion of 0 in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.668 * [taylor]: Taking taylor expansion of 0 in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 3.669 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 3.669 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.669 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.670 * [taylor]: Taking taylor expansion of y in x 3.670 * [backup-simplify]: Simplify y into y 3.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.670 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.670 * [taylor]: Taking taylor expansion of x in y 3.670 * [backup-simplify]: Simplify x into x 3.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.670 * [taylor]: Taking taylor expansion of y in y 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ x 1) into x 3.671 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.671 * [taylor]: Taking taylor expansion of x in y 3.671 * [backup-simplify]: Simplify x into x 3.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.671 * [taylor]: Taking taylor expansion of y in y 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ x 1) into x 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.673 * [taylor]: Taking taylor expansion of 0 in x 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [taylor]: Taking taylor expansion of 0 in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [taylor]: Taking taylor expansion of 0 in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 3.680 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 3.680 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 3.680 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 3.680 * [taylor]: Taking taylor expansion of -1 in x 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.680 * [taylor]: Taking taylor expansion of y in x 3.680 * [backup-simplify]: Simplify y into y 3.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.680 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.680 * [taylor]: Taking taylor expansion of -1 in y 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.680 * [taylor]: Taking taylor expansion of x in y 3.680 * [backup-simplify]: Simplify x into x 3.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.680 * [taylor]: Taking taylor expansion of y in y 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.681 * [backup-simplify]: Simplify (/ x 1) into x 3.681 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.681 * [taylor]: Taking taylor expansion of -1 in y 3.681 * [backup-simplify]: Simplify -1 into -1 3.681 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.681 * [taylor]: Taking taylor expansion of x in y 3.681 * [backup-simplify]: Simplify x into x 3.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.681 * [taylor]: Taking taylor expansion of y in y 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (* 1 1) into 1 3.682 * [backup-simplify]: Simplify (/ x 1) into x 3.682 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 3.682 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.682 * [taylor]: Taking taylor expansion of -1 in x 3.682 * [backup-simplify]: Simplify -1 into -1 3.682 * [taylor]: Taking taylor expansion of x in x 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.683 * [backup-simplify]: Simplify -1 into -1 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 3.685 * [taylor]: Taking taylor expansion of 0 in x 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 3.690 * [taylor]: Taking taylor expansion of 0 in x 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.696 * [taylor]: Taking taylor expansion of 0 in x 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 3.697 * * * [progress]: simplifying candidates 3.705 * [simplify]: Simplifying: (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- 1) (- (- (log y) (- (log x) (log y)))) (- (- (log y) (log (/ x y)))) (- (log (/ y (/ x y)))) (- 0 (- (log y) (- (log x) (log y)))) (- 0 (- (log y) (log (/ x y)))) (- 0 (log (/ y (/ x y)))) (- (log 1) (- (log y) (- (log x) (log y)))) (- (log 1) (- (log y) (log (/ x y)))) (- (log 1) (log (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (exp (/ 1 (/ y (/ x y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (* (* 1 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (/ 1 (/ y (/ x y)))) (cbrt (/ 1 (/ y (/ x y))))) (cbrt (/ 1 (/ y (/ x y)))) (* (* (/ 1 (/ y (/ x y))) (/ 1 (/ y (/ x y)))) (/ 1 (/ y (/ x y)))) (sqrt (/ 1 (/ y (/ x y)))) (sqrt (/ 1 (/ y (/ x y)))) (- 1) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt 1) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 1))) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) x)) (/ (cbrt 1) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ y (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (/ x y)))) (/ (cbrt 1) (/ y (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ y (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ y (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) 1))) (/ (cbrt 1) (/ y (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (sqrt y)))) (/ (cbrt 1) (/ y (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 1))) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ y (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (sqrt 1) (cbrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) x)) (/ (sqrt 1) (/ (cbrt y) (/ 1 y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* 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(* (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) 3.715 * * [simplify]: iteration 0: 421 enodes 4.132 * * [simplify]: iteration 1: 1203 enodes 4.574 * * [simplify]: iteration complete: 5001 enodes 4.574 * * [simplify]: Extracting #0: cost 184 inf + 0 4.578 * * [simplify]: Extracting #1: cost 1847 inf + 46 4.585 * * [simplify]: Extracting #2: cost 1251 inf + 4259 4.592 * * [simplify]: Extracting #3: cost 182 inf + 13239 4.605 * * [simplify]: Extracting #4: cost 0 inf + 14725 4.614 * * [simplify]: Extracting #5: cost 0 inf + 14723 4.629 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) 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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) 4.633 * * * [progress]: adding candidates to table 5.598 * [progress]: [Phase 3 of 3] Extracting. 5.598 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.599 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 5.599 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 5.656 * * * * [regimes]: Trying to branch on (* y y) from (# #) 5.690 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # #) 5.756 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 5.836 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 5.888 * * * [regime]: Found split indices: #