22.376 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (/ (- x y) x) 0.018 * [simplify]: Sending expressions to egg_math: (/ (- h0 h1) h0) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (/ (- x y) x) into (/ (- x y) x) 0.045 * [approximate]: Taking taylor expansion of (/ (- x y) x) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.045 * [taylor]: Taking taylor expansion of (- x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [backup-simplify]: Simplify (- 0) into 0 0.045 * [backup-simplify]: Simplify (+ x 0) into x 0.045 * [backup-simplify]: Simplify (/ x x) into 1 0.045 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.045 * [taylor]: Taking taylor expansion of (- x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (- y) into (- y) 0.045 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.045 * [backup-simplify]: Simplify (/ (- y) 1) into (* -1 y) 0.045 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.045 * [taylor]: Taking taylor expansion of (- x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (- y) into (- y) 0.046 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.046 * [backup-simplify]: Simplify (/ (- y) 1) into (* -1 y) 0.046 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [backup-simplify]: Simplify -1 into -1 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* -1 0) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (- 0) into 0 0.047 * [backup-simplify]: Simplify (+ 1 0) into 1 0.047 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (* -1 y) (/ 0 1)))) into 1 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.048 * [backup-simplify]: Simplify -1 into -1 0.048 * [backup-simplify]: Simplify (- 0) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 y) (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 y) (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 (* y (/ 1 x))) 1) into (- 1 (/ y x)) 0.052 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (- (/ 1 x) (/ 1 y)) x) 0.052 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (* 1 0) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.054 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.055 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 y)) 0)) into 1 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 1) (* 0 0))) into (- (/ 1 y)) 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (- 1) into -1 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 1) (* 0 0)))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ 1 (* -1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (- 1 (/ y x)) 0.062 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* -1 (* x (- (/ 1 y) (/ 1 x)))) 0.062 * [approximate]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.063 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (- 1) into -1 0.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.065 * [backup-simplify]: Simplify (* 0 -1) into 0 0.065 * [backup-simplify]: Simplify (* -1 0) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.066 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 -1)) into (- 1) 0.067 * [backup-simplify]: Simplify (+ (* -1 (- 1)) (* 0 0)) into 1 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 -1))) into (/ 1 y) 0.069 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (+ (* 0 (- 1)) (* 0 0))) into (- (/ 1 y)) 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (- 1) into -1 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 y)) (+ (* 0 (- 1)) (* 0 0)))) 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 1)))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 (- 1)) (* 0 0))))) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ 1 (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (- 1 (/ y x)) 0.077 * * * [progress]: simplifying candidates 0.078 * [simplify]: Simplifying: (- (log (- x y)) (log x)) (log (/ (- x y) x)) (exp (/ (- x y) x)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* x x) x)) (* (cbrt (/ (- x y) x)) (cbrt (/ (- x y) x))) (cbrt (/ (- x y) x)) (* (* (/ (- x y) x) (/ (- x y) x)) (/ (- x y) x)) (sqrt (/ (- x y) x)) (sqrt (/ (- x y) x)) (- (- x y)) (- x) (/ x x) (/ y x) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (cbrt (- x y)) (sqrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) x) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (- (sqrt x) (sqrt y)) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (/ (- (sqrt x) (sqrt y)) (sqrt x)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ 1 x) (/ x (- x y)) (/ (- x y) (* (cbrt x) (cbrt x))) (/ (- x y) (sqrt x)) (/ (- x y) 1) (/ x (cbrt (- x y))) (/ x (sqrt (- x y))) (/ x (- x y)) (/ x (- (sqrt x) (sqrt y))) (/ x (- x y)) (* x (+ (* x x) (+ (* y y) (* x y)))) (* x (+ x y)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.078 * [simplify]: Sending expressions to egg_math: (- (log (- h0 h1)) (log h0)) (log (/ (- h0 h1) h0)) (exp (/ (- h0 h1) h0)) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (- h0 h1) h0)) (cbrt (/ (- h0 h1) h0))) (cbrt (/ (- h0 h1) h0)) (* (* (/ (- h0 h1) h0) (/ (- h0 h1) h0)) (/ (- h0 h1) h0)) (sqrt (/ (- h0 h1) h0)) (sqrt (/ (- h0 h1) h0)) (- (- h0 h1)) (- h0) (/ h0 h0) (/ h1 h0) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (- h0 h1)) (cbrt h0)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt h0)) (/ (cbrt (- h0 h1)) (sqrt h0)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1) (/ (cbrt (- h0 h1)) h0) (/ (sqrt (- h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h0 h1)) (cbrt h0)) (/ (sqrt (- h0 h1)) (sqrt h0)) (/ (sqrt (- h0 h1)) (sqrt h0)) (/ (sqrt (- h0 h1)) 1) (/ (sqrt (- h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- h0 h1) (sqrt h0)) (/ 1 1) (/ (- h0 h1) h0) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (/ (- (sqrt h0) (sqrt h1)) (cbrt h0)) (/ (+ (sqrt h0) (sqrt h1)) (sqrt h0)) (/ (- (sqrt h0) (sqrt h1)) (sqrt h0)) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- h0 h1) (sqrt h0)) (/ 1 1) (/ (- h0 h1) h0) (/ 1 h0) (/ h0 (- h0 h1)) (/ (- h0 h1) (* (cbrt h0) (cbrt h0))) (/ (- h0 h1) (sqrt h0)) (/ (- h0 h1) 1) (/ h0 (cbrt (- h0 h1))) (/ h0 (sqrt (- h0 h1))) (/ h0 (- h0 h1)) (/ h0 (- (sqrt h0) (sqrt h1))) (/ h0 (- h0 h1)) (* h0 (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* h0 (+ h0 h1)) (- 1 (/ h1 h0)) (- 1 (/ h1 h0)) (- 1 (/ h1 h0)) 0.131 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.225 * [backup-simplify]: Simplify (- 1 (/ y x)) into (- 1 (/ y x)) 0.225 * [approximate]: Taking taylor expansion of (- 1 (/ y x)) in (y x) around 0 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in x 0.225 * [taylor]: Taking taylor expansion of 1 in x 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (/ y x) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [backup-simplify]: Simplify y into y 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ y 1) into y 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (/ y x) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [backup-simplify]: Simplify x into x 0.225 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (/ y x) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [backup-simplify]: Simplify x into x 0.225 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 0.226 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (- 1) into -1 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ 1 (* -1 (* (/ 1 x) y))) into (- 1 (/ y x)) 0.230 * [backup-simplify]: Simplify (- 1 (/ (/ 1 y) (/ 1 x))) into (- 1 (/ x y)) 0.230 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 1 in x 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (/ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [backup-simplify]: Simplify x into x 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ x 1) into x 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (/ x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [backup-simplify]: Simplify x into x 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ x 1) into x 0.231 * [backup-simplify]: Simplify (- x) into (- x) 0.231 * [backup-simplify]: Simplify (+ 0 (- x)) into (- x) 0.231 * [taylor]: Taking taylor expansion of (- x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (- 1) into -1 0.232 * [backup-simplify]: Simplify -1 into -1 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (- 1 (/ y x)) 0.236 * [backup-simplify]: Simplify (- 1 (/ (/ 1 (- y)) (/ 1 (- x)))) into (- 1 (/ x y)) 0.236 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (/ x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.236 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (/ x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ x 1) into x 0.236 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (/ x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ x 1) into x 0.236 * [backup-simplify]: Simplify (- x) into (- x) 0.237 * [backup-simplify]: Simplify (+ 0 (- x)) into (- x) 0.237 * [taylor]: Taking taylor expansion of (- x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify -1 into -1 0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (- 1 (/ y x)) 0.242 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying: (/ (exp 1) (exp (/ y x))) (log (- 1 (/ y x))) (exp (- 1 (/ y x))) (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) (cbrt (- 1 (/ y x))) (* (* (- 1 (/ y x)) (- 1 (/ y x))) (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (- (pow 1 3) (pow (/ y x) 3)) (+ (* 1 1) (+ (* (/ y x) (/ y x)) (* 1 (/ y x)))) (- (/ y x)) (- (* 1 1) (* (/ y x) (/ y x))) (+ 1 (/ y x)) (+ (sqrt 1) (sqrt (/ y x))) (- (sqrt 1) (sqrt (/ y x))) (+ (sqrt 1) (/ (sqrt y) (sqrt x))) (- (sqrt 1) (/ (sqrt y) (sqrt x))) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (- 1 (/ y x)) (- (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.242 * [simplify]: Sending expressions to egg_math: (/ (exp 1) (exp (/ h1 h0))) (log (- 1 (/ h1 h0))) (exp (- 1 (/ h1 h0))) (* (cbrt (- 1 (/ h1 h0))) (cbrt (- 1 (/ h1 h0)))) (cbrt (- 1 (/ h1 h0))) (* (* (- 1 (/ h1 h0)) (- 1 (/ h1 h0))) (- 1 (/ h1 h0))) (sqrt (- 1 (/ h1 h0))) (sqrt (- 1 (/ h1 h0))) (- (pow 1 3) (pow (/ h1 h0) 3)) (+ (* 1 1) (+ (* (/ h1 h0) (/ h1 h0)) (* 1 (/ h1 h0)))) (- (/ h1 h0)) (- (* 1 1) (* (/ h1 h0) (/ h1 h0))) (+ 1 (/ h1 h0)) (+ (sqrt 1) (sqrt (/ h1 h0))) (- (sqrt 1) (sqrt (/ h1 h0))) (+ (sqrt 1) (/ (sqrt h1) (sqrt h0))) (- (sqrt 1) (/ (sqrt h1) (sqrt h0))) (+ 1 (sqrt (/ h1 h0))) (- 1 (sqrt (/ h1 h0))) (+ 1 (/ (sqrt h1) (sqrt h0))) (- 1 (/ (sqrt h1) (sqrt h0))) (- 1 (/ h1 h0)) (- (/ h1 h0)) (- 1 (/ h1 h0)) (- 1 (/ h1 h0)) (- 1 (/ h1 h0)) 0.317 * * * [progress]: adding candidates to table 0.348 * [progress]: [Phase 3 of 3] Extracting. 0.348 * * [regime]: Finding splitpoints for: (# #) 0.348 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- x y) x) y x) 0.348 * * * * [regimes]: Trying to branch on (/ (- x y) x) from (# #) 0.364 * * * * [regimes]: Trying to branch on y from (# #) 0.383 * * * * [regimes]: Trying to branch on x from (# #) 0.406 * * * [regime]: Found split indices: #