9.079 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ (+ x 1.0) (- 1.0 x)) 0.014 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (- h1 h0)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.055 * [backup-simplify]: Simplify (/ (+ x 1.0) (- 1.0 x)) into (/ (+ x 1.0) (- 1.0 x)) 0.055 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.055 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.057 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.057 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.057 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [backup-simplify]: Simplify 1.0 into 1.0 0.057 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [backup-simplify]: Simplify 1.0 into 1.0 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.058 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.058 * [backup-simplify]: Simplify 1.0 into 1.0 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (- 1) into -1 0.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.061 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.061 * [backup-simplify]: Simplify 2.0 into 2.0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.064 * [backup-simplify]: Simplify 2.0 into 2.0 0.064 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.064 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.064 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [backup-simplify]: Simplify 1.0 into 1.0 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (- 1) into -1 0.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.066 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.066 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [backup-simplify]: Simplify 1.0 into 1.0 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.066 * [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 (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [backup-simplify]: Simplify (+ 0 1) into 1 0.068 * [backup-simplify]: Simplify (- 1) into -1 0.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.068 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.068 * [backup-simplify]: Simplify -1 into -1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.071 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.072 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.076 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.077 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* (- 2.0) (/ 1 x)) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.077 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.077 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [backup-simplify]: Simplify (- 1) into -1 0.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (/ -1 1) into -1 0.079 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (- 1) into -1 0.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (/ -1 1) into -1 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.084 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.084 * [backup-simplify]: Simplify 2.0 into 2.0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.089 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.089 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* 2.0 (/ 1 (- x))) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.089 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying: (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.090 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log (- h1 h0))) (log (/ (+ h0 h1) (- h1 h0))) (exp (/ (+ h0 h1) (- h1 h0))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (+ h0 h1) (- h1 h0))) (cbrt (/ (+ h0 h1) (- h1 h0)))) (cbrt (/ (+ h0 h1) (- h1 h0))) (* (* (/ (+ h0 h1) (- h1 h0)) (/ (+ h0 h1) (- h1 h0))) (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (- (+ h0 h1)) (- (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h1 h0))) (/ (cbrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) 1) (/ (- h1 h0) (cbrt (+ h0 h1))) (/ (- h1 h0) (sqrt (+ h0 h1))) (/ (- h1 h0) (+ h0 h1)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (- (pow h1 3) (pow h0 3))) (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h1 h0) (- h0 h1)) (+ (* h2 (pow h0 2)) (+ (* h2 h0) h1)) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) 0.166 * * * [progress]: adding candidates to table 0.242 * * [progress]: iteration 2 / 4 0.242 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.261 * [backup-simplify]: Simplify (+ 1.0 (* 2.0 (+ (pow x 2) x))) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.261 * [approximate]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) in x 0.261 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of 2.0 in x 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.262 * [taylor]: Taking taylor expansion of 2.0 in x 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [backup-simplify]: Simplify 1.0 into 1.0 0.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) in x 0.262 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of 2.0 in x 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.262 * [taylor]: Taking taylor expansion of 2.0 in x 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [backup-simplify]: Simplify 1.0 into 1.0 0.262 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.264 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.265 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.266 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.267 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.267 * [backup-simplify]: Simplify (+ 1.0 (* 2.0 (+ (pow (/ 1 x) 2) (/ 1 x)))) into (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1.0)) 0.267 * [approximate]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1.0)) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1.0)) in x 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.267 * [taylor]: Taking taylor expansion of 2.0 in x 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) 1.0) in x 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 2.0 in x 0.268 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1.0)) in x 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of 2.0 in x 0.268 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) 1.0) in x 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 2.0 in x 0.269 * [backup-simplify]: Simplify 2.0 into 2.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.270 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.270 * [backup-simplify]: Simplify 2.0 into 2.0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.271 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.272 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.272 * [backup-simplify]: Simplify 2.0 into 2.0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.275 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [backup-simplify]: Simplify (+ 1.0 (+ (* 2.0 (/ 1 (/ 1 x))) (* 2.0 (pow (/ 1 (/ 1 x)) 2)))) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.275 * [backup-simplify]: Simplify (+ 1.0 (* 2.0 (+ (pow (/ 1 (- x)) 2) (/ 1 (- x))))) into (- (+ (* 2.0 (/ 1 (pow x 2))) 1.0) (* 2.0 (/ 1 x))) 0.275 * [approximate]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) 1.0) (* 2.0 (/ 1 x))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) 1.0) (* 2.0 (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in x 0.275 * [backup-simplify]: Simplify 2.0 into 2.0 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [backup-simplify]: Simplify 2.0 into 2.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) 1.0) (* 2.0 (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [backup-simplify]: Simplify 2.0 into 2.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [backup-simplify]: Simplify 2.0 into 2.0 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.278 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.278 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.278 * [backup-simplify]: Simplify 2.0 into 2.0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.280 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.281 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.281 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [backup-simplify]: Simplify (+ 1.0 (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 2.0 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.284 * * * [progress]: simplifying candidates 0.285 * [simplify]: Simplifying: (* (exp 1.0) (exp (* 2.0 (+ (pow x 2) x)))) (log (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (exp (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (* (cbrt (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (cbrt (+ 1.0 (* 2.0 (+ (pow x 2) x))))) (cbrt (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (* (* (+ 1.0 (* 2.0 (+ (pow x 2) x))) (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (sqrt (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (sqrt (+ 1.0 (* 2.0 (+ (pow x 2) x)))) (+ (pow 1.0 3) (pow (* 2.0 (+ (pow x 2) x)) 3)) (+ (* 1.0 1.0) (- (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (* 1.0 (* 2.0 (+ (pow x 2) x))))) (- (* 1.0 1.0) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x)))) (- 1.0 (* 2.0 (+ (pow x 2) x))) (+ 1.0 (* 2.0 (pow x 2))) (+ 1.0 (* (pow x 2) 2.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.285 * [simplify]: Sending expressions to egg_math: (* (exp h2) (exp (* h1 (+ (pow h0 2) h0)))) (log (+ h2 (* h1 (+ (pow h0 2) h0)))) (exp (+ h2 (* h1 (+ (pow h0 2) h0)))) (* (cbrt (+ h2 (* h1 (+ (pow h0 2) h0)))) (cbrt (+ h2 (* h1 (+ (pow h0 2) h0))))) (cbrt (+ h2 (* h1 (+ (pow h0 2) h0)))) (* (* (+ h2 (* h1 (+ (pow h0 2) h0))) (+ h2 (* h1 (+ (pow h0 2) h0)))) (+ h2 (* h1 (+ (pow h0 2) h0)))) (sqrt (+ h2 (* h1 (+ (pow h0 2) h0)))) (sqrt (+ h2 (* h1 (+ (pow h0 2) h0)))) (+ (pow h2 3) (pow (* h1 (+ (pow h0 2) h0)) 3)) (+ (* h2 h2) (- (* (* h1 (+ (pow h0 2) h0)) (* h1 (+ (pow h0 2) h0))) (* h2 (* h1 (+ (pow h0 2) h0))))) (- (* h2 h2) (* (* h1 (+ (pow h0 2) h0)) (* h1 (+ (pow h0 2) h0)))) (- h2 (* h1 (+ (pow h0 2) h0))) (+ h2 (* h1 (pow h0 2))) (+ h2 (* (pow h0 2) h1)) (+ (* h1 (pow h0 2)) (+ (* h1 h0) h2)) (+ (* h1 (pow h0 2)) (+ (* h1 h0) h2)) (+ (* h1 (pow h0 2)) (+ (* h1 h0) h2)) 0.347 * * * [progress]: adding candidates to table 0.380 * [progress]: [Phase 3 of 3] Extracting. 0.380 * * [regime]: Finding splitpoints for: (# #) 0.380 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 0.380 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# #) 0.388 * * * * [regimes]: Trying to branch on x from (# #) 0.398 * * * [regime]: Found split indices: #