10.379 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ (* x y) (+ y 1.0)) 0.017 * [simplify]: Sending expressions to egg_math: (/ (* h2 h1) (+ h1 h0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (/ (* x y) (+ y 1.0)) into (/ (* x y) (+ y 1.0)) 0.044 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 (+ y 1.0) in y 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 1.0 in y 0.045 * [backup-simplify]: Simplify 1.0 into 1.0 0.045 * [backup-simplify]: Simplify (* x 0) into 0 0.045 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.045 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.046 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.046 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 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 1.0 in x 0.046 * [backup-simplify]: Simplify 1.0 into 1.0 0.046 * [backup-simplify]: Simplify (* 0 y) into 0 0.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.046 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.046 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.046 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 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 1.0 in x 0.046 * [backup-simplify]: Simplify 1.0 into 1.0 0.046 * [backup-simplify]: Simplify (* 0 y) into 0 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.047 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.047 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.047 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.048 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.048 * [backup-simplify]: Simplify 1.0 into 1.0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) 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 (+ 1 0) into 1 0.050 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.051 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.056 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 0.056 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) into (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) 0.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.056 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [backup-simplify]: Simplify x into x 0.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [backup-simplify]: Simplify 1.0 into 1.0 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ 1 0) into 1 0.057 * [backup-simplify]: Simplify (* 1 0) into 0 0.057 * [backup-simplify]: Simplify (* x 0) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.058 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.059 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [backup-simplify]: Simplify 1.0 into 1.0 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.059 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.059 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.067 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.067 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) 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 (* (+ (/ 1 y) 1.0) y) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [backup-simplify]: Simplify 1.0 into 1.0 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.067 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.067 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.068 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.069 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.069 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (* 0 y))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ (/ 1 y) 1.0) y)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.072 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.074 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ (/ 1 y) 1.0) y))))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) 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 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.080 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) 1.0)) into (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) 0.080 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.080 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of 1.0 in y 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (- 1) into -1 0.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.081 * [backup-simplify]: Simplify (* -1 0) into 0 0.081 * [backup-simplify]: Simplify (* x 0) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.083 * [backup-simplify]: Simplify (+ (* -1 1) (* 1.0 0)) into -1 0.083 * [backup-simplify]: Simplify (+ (* x -1) (* 0 0)) into (- x) 0.083 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.083 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.084 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.084 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.084 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.085 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.085 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.085 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.085 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.085 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.086 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.086 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.086 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.086 * [taylor]: Taking taylor expansion of 1.0 in y 0.086 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.087 * [backup-simplify]: Simplify (- 1) into -1 0.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.088 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* y (- 1.0 (/ 1 y)))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.092 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.092 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* y (- 1.0 (/ 1 y))))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.098 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.099 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.099 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.100 * [simplify]: Sending expressions to egg_math: (- (+ (log h2) (log h1)) (log (+ h1 h0))) (- (log (* h2 h1)) (log (+ h1 h0))) (log (/ (* h2 h1) (+ h1 h0))) (exp (/ (* h2 h1) (+ h1 h0))) (/ (* (* (* h2 h2) h2) (* (* h1 h1) h1)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (/ (* (* (* h2 h1) (* h2 h1)) (* h2 h1)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ (* h2 h1) (+ h1 h0))) (cbrt (/ (* h2 h1) (+ h1 h0)))) (cbrt (/ (* h2 h1) (+ h1 h0))) (* (* (/ (* h2 h1) (+ h1 h0)) (/ (* h2 h1) (+ h1 h0))) (/ (* h2 h1) (+ h1 h0))) (sqrt (/ (* h2 h1) (+ h1 h0))) (sqrt (/ (* h2 h1) (+ h1 h0))) (- (* h2 h1)) (- (+ h1 h0)) (/ h2 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h1 (cbrt (+ h1 h0))) (/ h2 (sqrt (+ h1 h0))) (/ h1 (sqrt (+ h1 h0))) (/ h2 1) (/ h1 (+ h1 h0)) (/ h2 1) (/ h1 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) (* h2 h1)) (/ (* h2 h1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (* h2 h1) (sqrt (+ h1 h0))) (/ (* h2 h1) 1) (/ (* h2 h1) 1) (/ (+ h1 h0) h1) (/ (* h2 h1) (+ (pow h1 3) (pow h0 3))) (/ (* h2 h1) (- (* h1 h1) (* h0 h0))) (- (+ (* h0 (* h2 h1)) (* h0 (* h2 (pow h1 3)))) (* h0 (* h2 (pow h1 2)))) (- (+ h2 (* h0 (/ h2 (pow h1 2)))) (* h0 (/ h2 h1))) (- (+ h2 (* h0 (/ h2 (pow h1 2)))) (* h0 (/ h2 h1))) 0.222 * * * [progress]: adding candidates to table 0.271 * * [progress]: iteration 2 / 4 0.271 * * * [progress]: picking best candidate 0.274 * * * * [pick]: Picked # 0.274 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.299 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.299 * [backup-simplify]: Simplify (/ x (/ (+ y 1.0) y)) into (/ (* x y) (+ y 1.0)) 0.299 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.299 * [taylor]: Taking taylor expansion of (* x y) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [backup-simplify]: Simplify x into x 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of 1.0 in y 0.299 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [backup-simplify]: Simplify (* x 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.300 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.300 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.300 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (* x y) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [backup-simplify]: Simplify y into y 0.300 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [backup-simplify]: Simplify y into y 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [backup-simplify]: Simplify (* 0 y) into 0 0.301 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.301 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.301 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.301 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [backup-simplify]: Simplify (* 0 y) into 0 0.301 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.301 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.301 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.301 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.302 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.305 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 0.310 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (+ (/ 1 y) 1.0) (/ 1 y))) into (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) 0.310 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.310 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [backup-simplify]: Simplify x into x 0.310 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (* 1 0) into 0 0.311 * [backup-simplify]: Simplify (* x 0) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.313 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.313 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.313 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.313 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.313 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.314 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.314 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.314 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.315 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.315 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.315 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.316 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.316 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (* 0 y))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ (/ 1 y) 1.0) y)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.319 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.325 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ (/ 1 y) 1.0) y))))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.331 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.332 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (+ (/ 1 (- y)) 1.0) (/ 1 (- y)))) into (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) 0.332 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.332 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (* -1 0) into 0 0.333 * [backup-simplify]: Simplify (* x 0) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.335 * [backup-simplify]: Simplify (+ (* -1 1) (* 1.0 0)) into -1 0.335 * [backup-simplify]: Simplify (+ (* x -1) (* 0 0)) into (- x) 0.335 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.335 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.335 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.335 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.335 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.336 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.337 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.337 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.337 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.337 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.338 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.338 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.338 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 0.338 * [backup-simplify]: Simplify 1.0 into 1.0 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.339 * [backup-simplify]: Simplify -1 into -1 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* y (- 1.0 (/ 1 y)))))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.344 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.344 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* y (- 1.0 (/ 1 y))))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.350 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.351 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.351 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying: (- (log x) (- (log (+ y 1.0)) (log y))) (- (log x) (log (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (/ (* (* x x) x) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (* (* (/ x (/ (+ y 1.0) y)) (/ x (/ (+ y 1.0) y))) (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (- x) (- (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) 1)) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) 1)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) 1) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (+ y 1.0)) 1)) (/ x (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 1) (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (/ x (/ 1 y)) (/ 1 (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.353 * [simplify]: Sending expressions to egg_math: (- (log h2) (- (log (+ h0 h1)) (log h0))) (- (log h2) (log (/ (+ h0 h1) h0))) (log (/ h2 (/ (+ h0 h1) h0))) (exp (/ h2 (/ (+ h0 h1) h0))) (/ (* (* h2 h2) h2) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0))) (/ (* (* h2 h2) h2) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0))) (* (cbrt (/ h2 (/ (+ h0 h1) h0))) (cbrt (/ h2 (/ (+ h0 h1) h0)))) (cbrt (/ h2 (/ (+ h0 h1) h0))) (* (* (/ h2 (/ (+ h0 h1) h0)) (/ h2 (/ (+ h0 h1) h0))) (/ h2 (/ (+ h0 h1) h0))) (sqrt (/ h2 (/ (+ h0 h1) h0))) (sqrt (/ h2 (/ (+ h0 h1) h0))) (- h2) (- (/ (+ h0 h1) h0)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ (cbrt h2) (cbrt (/ (+ h0 h1) h0))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (/ (+ h0 h1) h0))) (/ (cbrt h2) (sqrt (/ (+ h0 h1) h0))) (/ (* (cbrt h2) (cbrt h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ (cbrt h2) (/ (cbrt (+ h0 h1)) (cbrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (/ (cbrt h2) (/ (cbrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ (cbrt h2) (/ (cbrt (+ h0 h1)) h0)) (/ (* (cbrt h2) (cbrt h2)) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (/ (cbrt h2) (/ (sqrt (+ h0 h1)) (cbrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (cbrt h2) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ (sqrt (+ h0 h1)) 1)) (/ (cbrt h2) (/ (sqrt (+ h0 h1)) h0)) (/ (* (cbrt h2) (cbrt h2)) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (cbrt h2) (/ (+ h0 h1) (cbrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ 1 (sqrt h0))) (/ (cbrt h2) (/ (+ h0 h1) (sqrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ 1 1)) (/ (cbrt h2) (/ (+ h0 h1) h0)) (/ (* (cbrt h2) (cbrt h2)) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (cbrt h2) (/ (+ h0 h1) (cbrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ 1 (sqrt h0))) (/ (cbrt h2) (/ (+ h0 h1) (sqrt h0))) (/ (* (cbrt h2) (cbrt h2)) (/ 1 1)) (/ (cbrt h2) (/ (+ h0 h1) h0)) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (/ (+ h0 h1) h0)) (/ (* (cbrt h2) (cbrt h2)) (+ h0 h1)) (/ (cbrt h2) (/ 1 h0)) (/ (sqrt h2) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ (sqrt h2) (cbrt (/ (+ h0 h1) h0))) (/ (sqrt h2) (sqrt (/ (+ h0 h1) h0))) (/ (sqrt h2) (sqrt (/ (+ h0 h1) h0))) (/ (sqrt h2) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ (sqrt h2) (/ (cbrt (+ h0 h1)) (cbrt h0))) (/ (sqrt h2) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (/ (sqrt h2) (/ (cbrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h2) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ (sqrt h2) (/ (cbrt (+ h0 h1)) h0)) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) (cbrt h0))) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) 1)) (/ (sqrt h2) (/ (sqrt (+ h0 h1)) h0)) (/ (sqrt h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (sqrt h2) (/ (+ h0 h1) (cbrt h0))) (/ (sqrt h2) (/ 1 (sqrt h0))) (/ (sqrt h2) (/ (+ h0 h1) (sqrt h0))) (/ (sqrt h2) (/ 1 1)) (/ (sqrt h2) (/ (+ h0 h1) h0)) (/ (sqrt h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (sqrt h2) (/ (+ h0 h1) (cbrt h0))) (/ (sqrt h2) (/ 1 (sqrt h0))) (/ (sqrt h2) (/ (+ h0 h1) (sqrt h0))) (/ (sqrt h2) (/ 1 1)) (/ (sqrt h2) (/ (+ h0 h1) h0)) (/ (sqrt h2) 1) (/ (sqrt h2) (/ (+ h0 h1) h0)) (/ (sqrt h2) (+ h0 h1)) (/ (sqrt h2) (/ 1 h0)) (/ 1 (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ h2 (cbrt (/ (+ h0 h1) h0))) (/ 1 (sqrt (/ (+ h0 h1) h0))) (/ h2 (sqrt (/ (+ h0 h1) h0))) (/ 1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (cbrt (+ h0 h1)) (cbrt h0))) (/ 1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (/ h2 (/ (cbrt (+ h0 h1)) (sqrt h0))) (/ 1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ h2 (/ (cbrt (+ h0 h1)) h0)) (/ 1 (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (sqrt (+ h0 h1)) (cbrt h0))) (/ 1 (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ h2 (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (/ (sqrt (+ h0 h1)) 1)) (/ h2 (/ (sqrt (+ h0 h1)) h0)) (/ 1 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (+ h0 h1) (cbrt h0))) (/ 1 (/ 1 (sqrt h0))) (/ h2 (/ (+ h0 h1) (sqrt h0))) (/ 1 (/ 1 1)) (/ h2 (/ (+ h0 h1) h0)) (/ 1 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (+ h0 h1) (cbrt h0))) (/ 1 (/ 1 (sqrt h0))) (/ h2 (/ (+ h0 h1) (sqrt h0))) (/ 1 (/ 1 1)) (/ h2 (/ (+ h0 h1) h0)) (/ 1 1) (/ h2 (/ (+ h0 h1) h0)) (/ 1 (+ h0 h1)) (/ h2 (/ 1 h0)) (/ 1 (/ (+ h0 h1) h0)) (/ (/ (+ h0 h1) h0) h2) (/ h2 (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ h2 (sqrt (/ (+ h0 h1) h0))) (/ h2 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (/ h2 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ h2 (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (/ h2 (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ h2 (/ (sqrt (+ h0 h1)) 1)) (/ h2 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h2 (/ 1 (sqrt h0))) (/ h2 (/ 1 1)) (/ h2 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h2 (/ 1 (sqrt h0))) (/ h2 (/ 1 1)) (/ h2 1) (/ h2 (+ h0 h1)) (/ (/ (+ h0 h1) h0) (cbrt h2)) (/ (/ (+ h0 h1) h0) (sqrt h2)) (/ (/ (+ h0 h1) h0) h2) (/ h2 (+ h0 h1)) (- (+ (* h1 (* h2 h0)) (* h1 (* h2 (pow h0 3)))) (* h1 (* h2 (pow h0 2)))) (- (+ h2 (* h1 (/ h2 (pow h0 2)))) (* h1 (/ h2 h0))) (- (+ h2 (* h1 (/ h2 (pow h0 2)))) (* h1 (/ h2 h0))) 0.400 * * * [progress]: adding candidates to table 0.552 * * [progress]: iteration 3 / 4 0.552 * * * [progress]: picking best candidate 0.553 * * * * [pick]: Picked # 0.554 * * * [progress]: localizing error 0.559 * * * [progress]: generating rewritten candidates 0.560 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.591 * * * [progress]: generating series expansions 0.591 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.591 * [backup-simplify]: Simplify (* (/ x (+ y 1.0)) y) into (/ (* x y) (+ y 1.0)) 0.591 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.591 * [taylor]: Taking taylor expansion of (* x y) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [backup-simplify]: Simplify x into x 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of 1.0 in y 0.591 * [backup-simplify]: Simplify 1.0 into 1.0 0.591 * [backup-simplify]: Simplify (* x 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.592 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.592 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (* x y) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [backup-simplify]: Simplify y into y 0.592 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [backup-simplify]: Simplify y into y 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [backup-simplify]: Simplify 1.0 into 1.0 0.592 * [backup-simplify]: Simplify (* 0 y) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.593 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.593 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.593 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of (* x y) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [backup-simplify]: Simplify 1.0 into 1.0 0.593 * [backup-simplify]: Simplify (* 0 y) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.593 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.593 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.594 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of 1.0 in y 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.594 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.597 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.601 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 0.602 * [backup-simplify]: Simplify (* (/ (/ 1 x) (+ (/ 1 y) 1.0)) (/ 1 y)) into (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) 0.602 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.602 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.602 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [backup-simplify]: Simplify x into x 0.602 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of 1.0 in y 0.603 * [backup-simplify]: Simplify 1.0 into 1.0 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (* 1 0) into 0 0.603 * [backup-simplify]: Simplify (* x 0) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.604 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.605 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.605 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.605 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.605 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [backup-simplify]: Simplify y into y 0.605 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [backup-simplify]: Simplify 1.0 into 1.0 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [backup-simplify]: Simplify y into y 0.605 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.605 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.605 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.606 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.606 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.606 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [backup-simplify]: Simplify y into y 0.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [backup-simplify]: Simplify 1.0 into 1.0 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [backup-simplify]: Simplify y into y 0.606 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.606 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.606 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.607 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.608 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.608 * [taylor]: Taking taylor expansion of 1.0 in y 0.608 * [backup-simplify]: Simplify 1.0 into 1.0 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of 1 in y 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 1) into 1 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (* 0 y))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ (/ 1 y) 1.0) y)))) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.611 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.613 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ (/ 1 y) 1.0) y))))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.618 * [backup-simplify]: Simplify 1.0 into 1.0 0.618 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.618 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (+ (/ 1 (- y)) 1.0)) (/ 1 (- y))) into (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) 0.619 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.619 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [backup-simplify]: Simplify x into x 0.619 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.619 * [taylor]: Taking taylor expansion of 1.0 in y 0.619 * [backup-simplify]: Simplify 1.0 into 1.0 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (- 1) into -1 0.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.624 * [backup-simplify]: Simplify (* -1 0) into 0 0.624 * [backup-simplify]: Simplify (* x 0) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.626 * [backup-simplify]: Simplify (+ (* -1 1) (* 1.0 0)) into -1 0.626 * [backup-simplify]: Simplify (+ (* x -1) (* 0 0)) into (- x) 0.626 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.626 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [backup-simplify]: Simplify 1.0 into 1.0 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [backup-simplify]: Simplify y into y 0.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [backup-simplify]: Simplify y into y 0.626 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.626 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.626 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.626 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.628 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.628 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [backup-simplify]: Simplify 1.0 into 1.0 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [backup-simplify]: Simplify y into y 0.628 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [backup-simplify]: Simplify y into y 0.628 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.628 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.628 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.628 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.629 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.629 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.629 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.629 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.629 * [taylor]: Taking taylor expansion of 1.0 in y 0.629 * [backup-simplify]: Simplify 1.0 into 1.0 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of 1 in y 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.630 * [backup-simplify]: Simplify (- 1) into -1 0.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.631 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.631 * [backup-simplify]: Simplify -1 into -1 0.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* y (- 1.0 (/ 1 y)))))) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.635 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.635 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* y (- 1.0 (/ 1 y))))))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.638 * [backup-simplify]: Simplify (- 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.641 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.642 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.642 * * * [progress]: simplifying candidates 0.643 * [simplify]: Simplifying: (* (/ x (+ y 1.0)) y) (+ (- (log x) (log (+ y 1.0))) (log y)) (+ (log (/ x (+ y 1.0))) (log y)) (log (* (/ x (+ y 1.0)) y)) (exp (* (/ x (+ y 1.0)) y)) (* (/ (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (* y y) y)) (* (* (* (/ x (+ y 1.0)) (/ x (+ y 1.0))) (/ x (+ y 1.0))) (* (* y y) y)) (* (cbrt (* (/ x (+ y 1.0)) y)) (cbrt (* (/ x (+ y 1.0)) y))) (cbrt (* (/ x (+ y 1.0)) y)) (* (* (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y)) (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ x (+ y 1.0)) (* (cbrt y) (cbrt y))) (* (/ x (+ y 1.0)) (sqrt y)) (* (/ x (+ y 1.0)) 1) (* (cbrt (/ x (+ y 1.0))) y) (* (sqrt (/ x (+ y 1.0))) y) (* (/ (cbrt x) (cbrt (+ y 1.0))) y) (* (/ (cbrt x) (sqrt (+ y 1.0))) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (sqrt x) (cbrt (+ y 1.0))) y) (* (/ (sqrt x) (sqrt (+ y 1.0))) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ x (cbrt (+ y 1.0))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ 1 (+ y 1.0)) y) (* (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) y) (* (- y 1.0) y) (* x y) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.643 * [simplify]: Sending expressions to egg_math: (* (/ h2 (+ h0 h1)) h0) (+ (- (log h2) (log (+ h0 h1))) (log h0)) (+ (log (/ h2 (+ h0 h1))) (log h0)) (log (* (/ h2 (+ h0 h1)) h0)) (exp (* (/ h2 (+ h0 h1)) h0)) (* (/ (* (* h2 h2) h2) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* h0 h0) h0)) (* (* (* (/ h2 (+ h0 h1)) (/ h2 (+ h0 h1))) (/ h2 (+ h0 h1))) (* (* h0 h0) h0)) (* (cbrt (* (/ h2 (+ h0 h1)) h0)) (cbrt (* (/ h2 (+ h0 h1)) h0))) (cbrt (* (/ h2 (+ h0 h1)) h0)) (* (* (* (/ h2 (+ h0 h1)) h0) (* (/ h2 (+ h0 h1)) h0)) (* (/ h2 (+ h0 h1)) h0)) (sqrt (* (/ h2 (+ h0 h1)) h0)) (sqrt (* (/ h2 (+ h0 h1)) h0)) (* (sqrt (/ h2 (+ h0 h1))) (sqrt h0)) (* (sqrt (/ h2 (+ h0 h1))) (sqrt h0)) (* (/ (sqrt h2) (sqrt (+ h0 h1))) (sqrt h0)) (* (/ (sqrt h2) (sqrt (+ h0 h1))) (sqrt h0)) (* (/ h2 (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (* (/ h2 (+ h0 h1)) (sqrt h0)) (* (/ h2 (+ h0 h1)) 1) (* (cbrt (/ h2 (+ h0 h1))) h0) (* (sqrt (/ h2 (+ h0 h1))) h0) (* (/ (cbrt h2) (cbrt (+ h0 h1))) h0) (* (/ (cbrt h2) (sqrt (+ h0 h1))) h0) (* (/ (cbrt h2) (+ h0 h1)) h0) (* (/ (cbrt h2) (+ h0 h1)) h0) (* (/ (sqrt h2) (cbrt (+ h0 h1))) h0) (* (/ (sqrt h2) (sqrt (+ h0 h1))) h0) (* (/ (sqrt h2) (+ h0 h1)) h0) (* (/ (sqrt h2) (+ h0 h1)) h0) (* (/ h2 (cbrt (+ h0 h1))) h0) (* (/ h2 (sqrt (+ h0 h1))) h0) (* (/ h2 (+ h0 h1)) h0) (* (/ h2 (+ h0 h1)) h0) (* (/ h2 (+ h0 h1)) h0) (* (/ 1 (+ h0 h1)) h0) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) h0) (* (- h0 h1) h0) (* h2 h0) (- (+ (* h1 (* h2 h0)) (* h1 (* h2 (pow h0 3)))) (* h1 (* h2 (pow h0 2)))) (- (+ h2 (* h1 (/ h2 (pow h0 2)))) (* h1 (/ h2 h0))) (- (+ h2 (* h1 (/ h2 (pow h0 2)))) (* h1 (/ h2 h0))) 0.743 * * * [progress]: adding candidates to table 0.811 * [progress]: [Phase 3 of 3] Extracting. 0.811 * * [regime]: Finding splitpoints for: (# #) 0.811 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.811 * * * * [regimes]: Trying to branch on y from (# #) 0.822 * * * * [regimes]: Trying to branch on x from (# #) 0.835 * * * [regime]: Found split indices: #