7.030 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying: (/ (+ x 1.0) (- 1.0 x)) 0.011 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (- h1 h0)) 0.013 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (/ (+ x 1.0) (- 1.0 x)) into (/ (+ x 1.0) (- 1.0 x)) 0.049 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.049 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.051 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.051 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.051 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [backup-simplify]: Simplify 1.0 into 1.0 0.051 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [backup-simplify]: Simplify 1.0 into 1.0 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.052 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify (- 1) into -1 0.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.054 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.054 * [backup-simplify]: Simplify 2.0 into 2.0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.057 * [backup-simplify]: Simplify 2.0 into 2.0 0.057 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.058 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.058 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [backup-simplify]: Simplify 1.0 into 1.0 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [backup-simplify]: Simplify 1.0 into 1.0 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (+ 0 1) into 1 0.059 * [backup-simplify]: Simplify (- 1) into -1 0.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.059 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.059 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 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 (/ 1 x) 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 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [backup-simplify]: Simplify 1.0 into 1.0 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ 0 1) into 1 0.060 * [backup-simplify]: Simplify (- 1) into -1 0.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.061 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.064 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.064 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.068 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.069 * [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))) 0.069 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.069 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [backup-simplify]: Simplify 1.0 into 1.0 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [backup-simplify]: Simplify 1.0 into 1.0 0.070 * [backup-simplify]: Simplify (- 1) into -1 0.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify (/ -1 1) into -1 0.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [backup-simplify]: Simplify 1.0 into 1.0 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [backup-simplify]: Simplify 1.0 into 1.0 0.072 * [backup-simplify]: Simplify (- 1) into -1 0.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.072 * [backup-simplify]: Simplify (/ -1 1) into -1 0.072 * [backup-simplify]: Simplify -1 into -1 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.076 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.076 * [backup-simplify]: Simplify 2.0 into 2.0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.080 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.080 * [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))) 0.080 * * * [progress]: simplifying candidates 0.081 * [simplify]: Simplifying: (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (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))) 0.081 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (- h1 h0))) (log1p (/ (+ h0 h1) (- h1 h0))) (- (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))) 0.085 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.089 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.101 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.160 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.162 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.267 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.300 * [backup-simplify]: Simplify (/ 1 (/ (- 1.0 x) (+ x 1.0))) into (/ (+ x 1.0) (- 1.0 x)) 0.301 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.301 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.302 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.302 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.302 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.302 * [taylor]: Taking taylor expansion of x in x 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 x 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.303 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.306 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.306 * [backup-simplify]: Simplify 2.0 into 2.0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [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)) (* 2.0 (/ -1 1.0)))) into 2.0 0.309 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.309 * [backup-simplify]: Simplify (/ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.309 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.311 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.311 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.313 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.313 * [backup-simplify]: Simplify -1 into -1 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.316 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.316 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.321 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.321 * [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))) 0.321 * [backup-simplify]: Simplify (/ 1 (/ (- 1.0 (/ 1 (- x))) (+ (/ 1 (- x)) 1.0))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.322 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ -1 1) into -1 0.323 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [backup-simplify]: Simplify (- 1) into -1 0.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.328 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.332 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.333 * [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))) 0.333 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.333 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ x 1.0)) into (/ (- 1.0 x) (+ x 1.0)) 0.333 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.334 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.334 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.335 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.338 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.341 * [backup-simplify]: Simplify 2.0 into 2.0 0.341 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.341 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) into (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) 0.342 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [backup-simplify]: Simplify (+ 0 1) into 1 0.343 * [backup-simplify]: Simplify (/ -1 1) into -1 0.343 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [backup-simplify]: Simplify (/ -1 1) into -1 0.345 * [backup-simplify]: Simplify -1 into -1 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.348 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.348 * [backup-simplify]: Simplify 2.0 into 2.0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.352 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.353 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.353 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ (/ 1 (- x)) 1.0)) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.353 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (- 1) into -1 0.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.356 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.356 * [backup-simplify]: Simplify -1 into -1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.363 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.363 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.368 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.368 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.368 * * * [progress]: simplifying candidates 0.371 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (log1p (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (- 1) (- (- (log (- 1.0 x)) (log (+ x 1.0)))) (- (log (/ (- 1.0 x) (+ x 1.0)))) (- 0 (- (log (- 1.0 x)) (log (+ x 1.0)))) (- 0 (log (/ (- 1.0 x) (+ x 1.0)))) (- (log 1) (- (log (- 1.0 x)) (log (+ x 1.0)))) (- (log 1) (log (/ (- 1.0 x) (+ x 1.0)))) (log (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (exp (/ 1 (/ (- 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(sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) 1)) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) 1)) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- 1.0 x) 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(/ (sqrt 1) (/ (sqrt (- h0 h1)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt 1) (/ (sqrt (- h0 h1)) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt 1) (/ (sqrt (- h0 h1)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (sqrt 1) (/ (- h0 h1) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (- h0 h1) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- h0 h1) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- h0 h1) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (sqrt 1) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt 1) (/ (- (sqrt h0) (sqrt h1)) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt 1) (/ (- (sqrt h0) (sqrt h1)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (sqrt 1) (/ (- h0 h1) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (- h0 h1) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- h0 h1) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- h0 h1) (+ h1 h0))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- h0 h1) (+ h1 h0))) (/ (sqrt 1) (- h0 h1)) (/ (sqrt 1) (/ 1 (+ h1 h0))) (/ (sqrt 1) (/ (- h0 h1) (+ (pow h1 3) (pow h0 3)))) (/ (sqrt 1) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (sqrt 1) (/ (- h0 h1) (- (* h1 h1) (* h0 h0)))) (/ (sqrt 1) (- h1 h0)) (/ 1 (* (cbrt (/ (- h0 h1) (+ h1 h0))) (cbrt (/ (- h0 h1) (+ h1 h0))))) (/ 1 (cbrt (/ (- h0 h1) (+ h1 h0)))) (/ 1 (sqrt (/ (- h0 h1) (+ h1 h0)))) (/ 1 (sqrt (/ (- h0 h1) (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (cbrt (- h0 h1)) (cbrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h1 h0)))) (/ 1 (/ (cbrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (cbrt (- h0 h1)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (cbrt (- h0 h1)) (+ h1 h0))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h0 h1)) (cbrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) (+ h1 h0))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- h0 h1) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ (- h0 h1) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- h0 h1) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ (- h0 h1) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 1) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 (- h0 h1)) (/ 1 (/ 1 (+ h1 h0))) (/ 1 (/ (- h0 h1) (+ (pow h1 3) (pow h0 3)))) (/ 1 (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ 1 (/ (- h0 h1) (- (* h1 h1) (* h0 h0)))) (/ 1 (- h1 h0)) (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ (/ (- h0 h1) (+ h1 h0)) 1) (/ 1 (* (cbrt (/ (- h0 h1) (+ h1 h0))) (cbrt (/ (- h0 h1) (+ h1 h0))))) (/ 1 (sqrt (/ (- h0 h1) (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- h0 h1)) (/ 1 (/ (- h0 h1) (+ (pow h1 3) (pow h0 3)))) (/ 1 (/ (- h0 h1) (- (* h1 h1) (* h0 h0)))) (/ (/ (- h0 h1) (+ h1 h0)) (cbrt 1)) (/ (/ (- h0 h1) (+ h1 h0)) (sqrt 1)) (/ (/ (- h0 h1) (+ h1 h0)) 1) (/ 1 (- h0 h1)) (expm1 (/ (- h0 h1) (+ h1 h0))) (log1p (/ (- h0 h1) (+ h1 h0))) (- (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)) (/ h0 (+ h1 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))) 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)) 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 1) (/ (- h0 h1) (+ h1 h0)) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h1 h0))) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0))) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h1 h0))) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) (+ h1 h0)) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt 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 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) 1) (/ (+ h1 h0) (cbrt (- h0 h1))) (/ (+ h1 h0) (sqrt (- h0 h1))) (/ (+ h1 h0) (- h0 h1)) (/ (+ h1 h0) (- (sqrt h0) (sqrt 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 h1 2)) (+ (* h2 h1) h0)) (- (+ (* h2 (/ 1 (pow h1 2))) (+ (* h2 (/ 1 h1)) 1))) (- (+ (* h2 (/ 1 (pow h1 2))) (+ (* h2 (/ 1 h1)) 1))) (- (+ (* h2 (pow h1 2)) h0) (* h2 h1)) (- (* h2 (/ 1 h1)) (+ 1 (* h2 (/ 1 (pow h1 2))))) (- (* h2 (/ 1 h1)) (+ 1 (* h2 (/ 1 (pow h1 2))))) 0.380 * * [simplify]: iteration 0 : 557 enodes (cost 1519 ) 0.390 * * [simplify]: iteration 1 : 2609 enodes (cost 1361 ) 0.424 * * [simplify]: iteration 2 : 5001 enodes (cost 1223 ) 0.430 * * * [progress]: adding candidates to table 0.617 * * [progress]: iteration 3 / 4 0.617 * * * [progress]: picking best candidate 0.618 * * * * [pick]: Picked # 0.618 * * * [progress]: localizing error 0.623 * * * [progress]: generating rewritten candidates 0.623 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.623 * * * [progress]: generating series expansions 0.623 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.623 * [backup-simplify]: Simplify (fma (fma x x x) 2.0 1.0) into (fma (fma x x x) 2.0 1.0) 0.623 * [approximate]: Taking taylor expansion of (fma (fma x x x) 2.0 1.0) in (x) around 0 0.623 * [taylor]: Taking taylor expansion of (fma (fma x x x) 2.0 1.0) in x 0.624 * [taylor]: Rewrote expression to (+ (* (fma x x x) 2.0) 1.0) 0.624 * [taylor]: Taking taylor expansion of (* (fma x x x) 2.0) in x 0.624 * [taylor]: Taking taylor expansion of (fma x x x) in x 0.624 * [taylor]: Rewrote expression to (+ (* x x) x) 0.624 * [taylor]: Taking taylor expansion of (* x x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of 2.0 in x 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [backup-simplify]: Simplify 1.0 into 1.0 0.624 * [taylor]: Taking taylor expansion of (fma (fma x x x) 2.0 1.0) in x 0.624 * [taylor]: Rewrote expression to (+ (* (fma x x x) 2.0) 1.0) 0.624 * [taylor]: Taking taylor expansion of (* (fma x x x) 2.0) in x 0.624 * [taylor]: Taking taylor expansion of (fma x x x) in x 0.624 * [taylor]: Rewrote expression to (+ (* x x) x) 0.624 * [taylor]: Taking taylor expansion of (* x x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of 2.0 in x 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [backup-simplify]: Simplify 1.0 into 1.0 0.625 * [backup-simplify]: Simplify (* 0 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.626 * [backup-simplify]: Simplify 1.0 into 1.0 0.626 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.626 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 0.628 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.628 * [backup-simplify]: Simplify 2.0 into 2.0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 1 2.0))) into 2.0 0.630 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.630 * [backup-simplify]: Simplify 2.0 into 2.0 0.630 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.630 * [backup-simplify]: Simplify (fma (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0 1.0) into (fma (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0 1.0) 0.630 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0 1.0) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0 1.0) in x 0.630 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0) 1.0) 0.630 * [taylor]: Taking taylor expansion of (* (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0) in x 0.630 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 x)) in x 0.631 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 x)) 0.631 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of 2.0 in x 0.631 * [backup-simplify]: Simplify 2.0 into 2.0 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [backup-simplify]: Simplify 1.0 into 1.0 0.632 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0 1.0) in x 0.632 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0) 1.0) 0.632 * [taylor]: Taking taylor expansion of (* (fma (/ 1 x) (/ 1 x) (/ 1 x)) 2.0) in x 0.632 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 x)) in x 0.632 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 x)) 0.632 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [taylor]: Taking taylor expansion of 2.0 in x 0.633 * [backup-simplify]: Simplify 2.0 into 2.0 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [backup-simplify]: Simplify 1.0 into 1.0 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 0.634 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.634 * [backup-simplify]: Simplify 2.0 into 2.0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 1 2.0)) into 2.0 0.636 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.636 * [backup-simplify]: Simplify 2.0 into 2.0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 2.0))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.639 * [backup-simplify]: Simplify 1.0 into 1.0 0.639 * [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)) 0.639 * [backup-simplify]: Simplify (fma (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- x))) 2.0 1.0) into (fma (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0 1.0) 0.639 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0 1.0) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0 1.0) in x 0.639 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0) 1.0) 0.640 * [taylor]: Taking taylor expansion of (* (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0) in x 0.640 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 x)) in x 0.640 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 x)) 0.640 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [backup-simplify]: Simplify -1 into -1 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ -1 1) into -1 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [backup-simplify]: Simplify -1 into -1 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ -1 1) into -1 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [backup-simplify]: Simplify -1 into -1 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (/ -1 1) into -1 0.641 * [taylor]: Taking taylor expansion of 2.0 in x 0.641 * [backup-simplify]: Simplify 2.0 into 2.0 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [backup-simplify]: Simplify 1.0 into 1.0 0.641 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0 1.0) in x 0.641 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0) 1.0) 0.641 * [taylor]: Taking taylor expansion of (* (fma (/ -1 x) (/ -1 x) (/ -1 x)) 2.0) in x 0.641 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 x)) in x 0.641 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 x)) 0.641 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [backup-simplify]: Simplify -1 into -1 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (/ -1 1) into -1 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [backup-simplify]: Simplify -1 into -1 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (/ -1 1) into -1 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [backup-simplify]: Simplify -1 into -1 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (/ -1 1) into -1 0.642 * [taylor]: Taking taylor expansion of 2.0 in x 0.642 * [backup-simplify]: Simplify 2.0 into 2.0 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [backup-simplify]: Simplify 1.0 into 1.0 0.642 * [backup-simplify]: Simplify (* -1 -1) into 1 0.643 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 0.643 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.643 * [backup-simplify]: Simplify 2.0 into 2.0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 2.0)) into (- 2.0) 0.646 * [backup-simplify]: Simplify (+ (- 2.0) 0) into (- 2.0) 0.646 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 2.0))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.649 * [backup-simplify]: Simplify 1.0 into 1.0 0.650 * [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)) 0.650 * * * [progress]: simplifying candidates 0.650 * [simplify]: Simplifying: (expm1 (fma (fma x x x) 2.0 1.0)) (log1p (fma (fma x x x) 2.0 1.0)) (* (fma x x x) 2.0) (log (fma (fma x x x) 2.0 1.0)) (exp (fma (fma x x x) 2.0 1.0)) (* (cbrt (fma (fma x x x) 2.0 1.0)) (cbrt (fma (fma x x x) 2.0 1.0))) (cbrt (fma (fma x x x) 2.0 1.0)) (* (* (fma (fma x x x) 2.0 1.0) (fma (fma x x x) 2.0 1.0)) (fma (fma x x x) 2.0 1.0)) (sqrt (fma (fma x x x) 2.0 1.0)) (sqrt (fma (fma x x x) 2.0 1.0)) (+ (* 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)) 0.650 * [simplify]: Sending expressions to egg_math: (expm1 (fma (fma h2 h2 h2) h1 h0)) (log1p (fma (fma h2 h2 h2) h1 h0)) (* (fma h2 h2 h2) h1) (log (fma (fma h2 h2 h2) h1 h0)) (exp (fma (fma h2 h2 h2) h1 h0)) (* (cbrt (fma (fma h2 h2 h2) h1 h0)) (cbrt (fma (fma h2 h2 h2) h1 h0))) (cbrt (fma (fma h2 h2 h2) h1 h0)) (* (* (fma (fma h2 h2 h2) h1 h0) (fma (fma h2 h2 h2) h1 h0)) (fma (fma h2 h2 h2) h1 h0)) (sqrt (fma (fma h2 h2 h2) h1 h0)) (sqrt (fma (fma h2 h2 h2) h1 h0)) (+ (* h1 (pow h2 2)) (+ (* h1 h2) h0)) (+ (* h1 (pow h2 2)) (+ (* h1 h2) h0)) (+ (* h1 (pow h2 2)) (+ (* h1 h2) h0)) 0.652 * * [simplify]: iteration 0 : 37 enodes (cost 47 ) 0.654 * * [simplify]: iteration 1 : 86 enodes (cost 39 ) 0.656 * * [simplify]: iteration 2 : 363 enodes (cost 39 ) 0.664 * * [simplify]: iteration 3 : 2011 enodes (cost 39 ) 0.715 * * [simplify]: iteration 4 : 5002 enodes (cost 39 ) 0.716 * * * [progress]: adding candidates to table 0.741 * [progress]: [Phase 3 of 3] Extracting. 0.741 * * [regime]: Finding splitpoints for: (# # #) 0.742 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 0.742 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 0.751 * * * * [regimes]: Trying to branch on x from (# # #) 0.761 * * * [regime]: Found split indices: #