10.582 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (/ (+ x 1.0) (- 1.0 x)) 0.012 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (- h1 h0)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (/ (+ x 1.0) (- 1.0 x)) into (/ (+ x 1.0) (- 1.0 x)) 0.048 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.048 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [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 0.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.050 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.050 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [backup-simplify]: Simplify 1.0 into 1.0 0.050 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [backup-simplify]: Simplify 1.0 into 1.0 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [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 0.051 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.051 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.051 * [backup-simplify]: Simplify 1.0 into 1.0 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (- 1) into -1 0.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.053 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.053 * [backup-simplify]: Simplify 2.0 into 2.0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.056 * [backup-simplify]: Simplify 2.0 into 2.0 0.056 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.056 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.056 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [backup-simplify]: Simplify 1.0 into 1.0 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 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 (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (+ 0 1) into 1 0.057 * [backup-simplify]: Simplify (- 1) into -1 0.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.058 * [backup-simplify]: Simplify (/ 1 -1) into -1 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 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (- 1) into -1 0.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.063 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.066 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.066 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.070 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.071 * [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))) 0.071 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.071 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 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 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [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 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (/ -1 1) into -1 0.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [backup-simplify]: Simplify (- 1) into -1 0.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (/ -1 1) into -1 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.078 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.078 * [backup-simplify]: Simplify 2.0 into 2.0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.082 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.083 * [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))) 0.083 * * * [progress]: simplifying candidates 0.084 * [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))) 0.084 * [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))) 0.088 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.091 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.103 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.163 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.165 * * * [progress]: adding candidates to table 0.242 * * [progress]: iteration 2 / 4 0.242 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.277 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.298 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.334 * [backup-simplify]: Simplify (pow (/ (+ x 1.0) (- 1.0 x)) 3) into (pow (/ (+ x 1.0) (- 1.0 x)) 3) 0.334 * [approximate]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.334 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 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 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [taylor]: Taking taylor expansion of (- 1.0 x) 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 x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.336 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.336 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.336 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of (- 1.0 x) 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 x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.338 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.338 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.338 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.338 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.341 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.342 * [backup-simplify]: Simplify (+ (* 1.0 2.0) (* 2.0 1.0)) into 4.0 0.342 * [backup-simplify]: Simplify (+ (* 1.0 4.0) (* 2.0 1.0)) into 6.0 0.342 * [backup-simplify]: Simplify 6.0 into 6.0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.347 * [backup-simplify]: Simplify (+ (* 1.0 2.0) (+ (* 2.0 2.0) (* 2.0 1.0))) into 8.0 0.348 * [backup-simplify]: Simplify (+ (* 1.0 8.0) (+ (* 2.0 4.0) (* 2.0 1.0))) into 18.0 0.348 * [backup-simplify]: Simplify 18.0 into 18.0 0.348 * [backup-simplify]: Simplify (+ (* 18.0 (pow x 2)) (+ (* 6.0 x) 1.0)) into (+ (* 18.0 (pow x 2)) (+ (* 6.0 x) 1.0)) 0.349 * [backup-simplify]: Simplify (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3) into (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) 0.349 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.349 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.350 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.350 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.350 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [backup-simplify]: Simplify 1.0 into 1.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ 0 1) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.352 * [backup-simplify]: Simplify (* -1 -1) into 1 0.352 * [backup-simplify]: Simplify (* -1 1) into -1 0.352 * [backup-simplify]: Simplify -1 into -1 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.356 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.357 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (* (- 2.0) -1)) into 4.0 0.358 * [backup-simplify]: Simplify (+ (* -1 4.0) (* (- 2.0) 1)) into (- 6.0) 0.358 * [backup-simplify]: Simplify (- 6.0) into (- 6.0) 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.365 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (+ (* (- 2.0) (- 2.0)) (* (- 2.0) -1))) into 8.0 0.367 * [backup-simplify]: Simplify (+ (* -1 8.0) (+ (* (- 2.0) 4.0) (* (- 2.0) 1))) into (- 18.0) 0.367 * [backup-simplify]: Simplify (- 18.0) into (- 18.0) 0.368 * [backup-simplify]: Simplify (+ (* (- 18.0) (pow (/ 1 x) 2)) (+ (* (- 6.0) (/ 1 x)) -1)) into (- (+ (* 18.0 (/ 1 (pow x 2))) (+ (* 6.0 (/ 1 x)) 1))) 0.368 * [backup-simplify]: Simplify (pow (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) 3) into (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) 0.368 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.368 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [backup-simplify]: Simplify 1.0 into 1.0 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [backup-simplify]: Simplify 1.0 into 1.0 0.369 * [backup-simplify]: Simplify (- 1) into -1 0.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.369 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (/ -1 1) into -1 0.370 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (/ -1 1) into -1 0.372 * [backup-simplify]: Simplify (* -1 -1) into 1 0.372 * [backup-simplify]: Simplify (* -1 1) into -1 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.375 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.376 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 2.0 -1)) into (- 4.0) 0.377 * [backup-simplify]: Simplify (+ (* -1 (- 4.0)) (* 2.0 1)) into 6.0 0.377 * [backup-simplify]: Simplify 6.0 into 6.0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.383 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (+ (* 2.0 2.0) (* (- 2.0) -1))) into 8.0 0.385 * [backup-simplify]: Simplify (+ (* -1 8.0) (+ (* 2.0 (- 4.0)) (* (- 2.0) 1))) into (- 18.0) 0.386 * [backup-simplify]: Simplify (- 18.0) into (- 18.0) 0.386 * [backup-simplify]: Simplify (+ (* (- 18.0) (pow (/ 1 (- x)) 2)) (+ (* 6.0 (/ 1 (- x))) -1)) into (- (+ (* 18.0 (/ 1 (pow x 2))) (+ (* 6.0 (/ 1 x)) 1))) 0.386 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.386 * [backup-simplify]: Simplify (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) into (/ (+ x 1.0) (- 1.0 x)) 0.386 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.386 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.388 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.388 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.388 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.389 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (- 1) into -1 0.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.391 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.391 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.397 * [backup-simplify]: Simplify 2.0 into 2.0 0.398 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.398 * [backup-simplify]: Simplify (cbrt (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3)) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.398 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ 0 1) into 1 0.399 * [backup-simplify]: Simplify (- 1) into -1 0.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.400 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.400 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (+ 0 1) into 1 0.401 * [backup-simplify]: Simplify (- 1) into -1 0.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.401 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.401 * [backup-simplify]: Simplify -1 into -1 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.404 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.404 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.409 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.410 * [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))) 0.410 * [backup-simplify]: Simplify (cbrt (pow (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) 3)) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.410 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (/ -1 1) into -1 0.412 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [backup-simplify]: Simplify (- 1) into -1 0.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (/ -1 1) into -1 0.413 * [backup-simplify]: Simplify -1 into -1 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.416 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.416 * [backup-simplify]: Simplify 2.0 into 2.0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.420 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.421 * [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))) 0.421 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.421 * [backup-simplify]: Simplify (/ (+ x 1.0) (- 1.0 x)) into (/ (+ x 1.0) (- 1.0 x)) 0.421 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.421 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [backup-simplify]: Simplify 1.0 into 1.0 0.421 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [backup-simplify]: Simplify 1.0 into 1.0 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.422 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.422 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.422 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.424 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (- 1) into -1 0.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.426 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.426 * [backup-simplify]: Simplify 2.0 into 2.0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.429 * [backup-simplify]: Simplify 2.0 into 2.0 0.429 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.430 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 0.430 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [backup-simplify]: Simplify 1.0 into 1.0 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [backup-simplify]: Simplify 1.0 into 1.0 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (- 1) into -1 0.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.431 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.431 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [backup-simplify]: Simplify 1.0 into 1.0 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.433 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.433 * [backup-simplify]: Simplify -1 into -1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.436 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.436 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.441 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.441 * [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))) 0.441 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.441 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [backup-simplify]: Simplify (- 1) into -1 0.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (/ -1 1) into -1 0.443 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [backup-simplify]: Simplify 1.0 into 1.0 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [backup-simplify]: Simplify 1.0 into 1.0 0.444 * [backup-simplify]: Simplify (- 1) into -1 0.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (/ -1 1) into -1 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.448 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.448 * [backup-simplify]: Simplify 2.0 into 2.0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.452 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.452 * [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))) 0.453 * * * [progress]: simplifying candidates 0.456 * [simplify]: Simplifying: (expm1 (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log1p (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (* (- (log (+ x 1.0)) (log (- 1.0 x))) 3) (* (log (/ (+ x 1.0) (- 1.0 x))) 3) (* (log (/ (+ x 1.0) (- 1.0 x))) 3) (* 1 3) (pow (/ (+ x 1.0) (- 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (/ (+ x 1.0) (- 1.0 x)) (sqrt 3)) (pow (/ (+ x 1.0) (- 1.0 x)) 1) (pow (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) 3) (pow (cbrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) 3) (pow (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) 1) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) 1) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow 1 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (+ x 1.0) 3) (pow (/ 1 (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) 3) (pow (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) 3) (pow (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 3) (pow (+ 1.0 x) 3) (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (log (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (* (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (* (* (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (pow (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) 3) (pow (cbrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) 3) (pow (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) 1) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) 1) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ 1 1) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow 1 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (+ x 1.0) 3) (pow (/ 1 (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) 3) (pow (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) 3) (pow (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 3) (pow (+ 1.0 x) 3) (pow (+ x 1.0) 3) (pow (- 1.0 x) 3) (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (pow (/ (+ x 1.0) (- 1.0 x)) (/ 3 2)) (pow (/ (+ x 1.0) (- 1.0 x)) (/ 3 2)) (expm1 (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (log1p (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (log (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (exp (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (pow (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) 3)) (cbrt (pow (cbrt (/ (+ x 1.0) (- 1.0 x))) 3)) (cbrt (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3)) (cbrt (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3)) (cbrt (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3)) (cbrt (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3)) (cbrt (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3)) (cbrt (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) 1) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) 1) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (+ x 1.0) (sqrt 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(cbrt (pow (/ (sqrt (+ h0 h1)) (- h1 h0)) 3)) (cbrt (pow (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (sqrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (sqrt (+ h0 h1)) 1) 3)) (cbrt (pow (/ (sqrt (+ h0 h1)) (- h1 h0)) 3)) (cbrt (pow (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) 3)) (cbrt (pow (/ (+ h0 h1) (cbrt (- h1 h0))) 3)) (cbrt (pow (/ 1 (sqrt (- h1 h0))) 3)) (cbrt (pow (/ (+ h0 h1) (sqrt (- h1 h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ h0 h1) (- h1 h0)) 3)) (cbrt (pow (/ 1 (+ (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ h0 h1) (- h1 h0)) 3)) (cbrt (pow (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) 3)) (cbrt (pow (/ (+ h0 h1) (cbrt (- h1 h0))) 3)) (cbrt (pow (/ 1 (sqrt (- h1 h0))) 3)) (cbrt (pow (/ (+ h0 h1) (sqrt (- h1 h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ h0 h1) (- h1 h0)) 3)) (cbrt (pow (/ 1 (+ (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (+ h0 h1) (- (sqrt h1) (sqrt 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(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)) (+ (* h3 h0) h1)) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h3 (/ 1 h0)) 1))) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h3 (/ 1 h0)) 1))) (+ (* h4 (pow h0 2)) (+ (* h4 h0) h1)) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (+ (* h4 (pow h0 2)) (+ (* h4 h0) h1)) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) 0.465 * * [simplify]: iteration 0 : 571 enodes (cost 1488 ) 0.476 * * [simplify]: iteration 1 : 2500 enodes (cost 1380 ) 0.516 * * [simplify]: iteration 2 : 5001 enodes (cost 1362 ) 0.524 * * * [progress]: adding candidates to table 0.778 * * [progress]: iteration 3 / 4 0.778 * * * [progress]: picking best candidate 0.779 * * * * [pick]: Picked # 0.779 * * * [progress]: localizing error 0.787 * * * [progress]: generating rewritten candidates 0.787 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.816 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.885 * * * [progress]: generating series expansions 0.885 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.886 * [backup-simplify]: Simplify (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) into (/ (+ x 1.0) (- 1.0 (pow x 2))) 0.886 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 (pow x 2))) in (x) around 0 0.886 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 (pow x 2))) in x 0.886 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [backup-simplify]: Simplify 1.0 into 1.0 0.886 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [backup-simplify]: Simplify 1.0 into 1.0 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.887 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.887 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.887 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 (pow x 2))) in x 0.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.888 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.888 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.888 * [backup-simplify]: Simplify 1.0 into 1.0 0.888 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ 0 1.0)))) into 1.0 0.890 * [backup-simplify]: Simplify 1.0 into 1.0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.891 * [backup-simplify]: Simplify (- 1) into -1 0.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.893 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ -1 1.0)) (* 1.0 (/ 0 1.0)))) into 1.0 0.893 * [backup-simplify]: Simplify 1.0 into 1.0 0.893 * [backup-simplify]: Simplify (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) 1.0)) into (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) 1.0)) 0.894 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) into (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) 0.894 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.894 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 0.894 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [backup-simplify]: Simplify 1.0 into 1.0 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [backup-simplify]: Simplify 1.0 into 1.0 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ 0 1) into 1 0.895 * [backup-simplify]: Simplify (- 1) into -1 0.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.896 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.896 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 0.896 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [backup-simplify]: Simplify 1.0 into 1.0 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [backup-simplify]: Simplify 1.0 into 1.0 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (+ 0 1) into 1 0.897 * [backup-simplify]: Simplify (- 1) into -1 0.897 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.897 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.898 * [backup-simplify]: Simplify -1 into -1 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 0 -1)))) into (- 1.0) 0.901 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.905 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into (- 1.0) 0.905 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.906 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 3)) (+ (* (- 1.0) (pow (/ 1 x) 2)) (* -1 (/ 1 x)))) into (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) 0.906 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) 0.906 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [backup-simplify]: Simplify 1.0 into 1.0 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [backup-simplify]: Simplify 1.0 into 1.0 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [backup-simplify]: Simplify (- 1) into -1 0.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.908 * [backup-simplify]: Simplify (- 1) into -1 0.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.909 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.909 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* 1 (/ 0 -1)))) into (- 1.0) 0.914 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.919 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1.0 -1)) (* (- 1.0) (/ 0 -1)))) into 1.0 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [backup-simplify]: Simplify (+ (* 1.0 (pow (/ 1 (- x)) 3)) (+ (* (- 1.0) (pow (/ 1 (- x)) 2)) (* 1 (/ 1 (- x))))) into (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) 0.919 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.920 * [backup-simplify]: Simplify (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) into (/ (pow (+ x 1.0) 2) (- 1.0 (pow x 2))) 0.920 * [approximate]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) (- 1.0 (pow x 2))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) (- 1.0 (pow x 2))) in x 0.920 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.920 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [backup-simplify]: Simplify 1.0 into 1.0 0.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [backup-simplify]: Simplify 1.0 into 1.0 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.921 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.921 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.921 * [taylor]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) (- 1.0 (pow x 2))) in x 0.921 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.921 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [backup-simplify]: Simplify 1.0 into 1.0 0.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [backup-simplify]: Simplify 1.0 into 1.0 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.922 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.922 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.922 * [backup-simplify]: Simplify 1.0 into 1.0 0.923 * [backup-simplify]: Simplify (+ 1 0) into 1 0.923 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (- (/ 2.0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 2.0 0.925 * [backup-simplify]: Simplify 2.0 into 2.0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (- 1) into -1 0.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.928 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)) (* 2.0 (/ 0 1.0)))) into 2.0 0.928 * [backup-simplify]: Simplify 2.0 into 2.0 0.929 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 0.929 * [backup-simplify]: Simplify (* (/ (+ (/ 1 x) 1.0) (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ (/ 1 x) 1.0)) into (/ (pow (+ 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) 0.929 * [approximate]: Taking taylor expansion of (/ (pow (+ 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (/ (pow (+ 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 0.929 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.929 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [backup-simplify]: Simplify 1.0 into 1.0 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (+ 0 1) into 1 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [backup-simplify]: Simplify 1.0 into 1.0 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (- 1) into -1 0.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.931 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.931 * [taylor]: Taking taylor expansion of (/ (pow (+ 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 0.932 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.932 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [backup-simplify]: Simplify (+ 0 1) into 1 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [backup-simplify]: Simplify (* 1 1) into 1 0.936 * [backup-simplify]: Simplify (- 1) into -1 0.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.936 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.938 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (- (/ 2.0 -1) (+ (* -1 (/ 0 -1)))) into (- 2.0) 0.940 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.946 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)) (* (- 2.0) (/ 0 -1)))) into (- 2.0) 0.947 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.947 * [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))) 0.948 * [backup-simplify]: Simplify (* (/ (+ (/ 1 (- x)) 1.0) (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (/ 1 (- x)) 1.0)) into (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) 0.948 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 0.948 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [backup-simplify]: Simplify 1.0 into 1.0 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [backup-simplify]: Simplify (- 1) into -1 0.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.949 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [backup-simplify]: Simplify 1.0 into 1.0 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [backup-simplify]: Simplify (* -1 -1) into 1 0.950 * [backup-simplify]: Simplify (- 1) into -1 0.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.950 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.950 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 0.950 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [backup-simplify]: Simplify 1.0 into 1.0 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify (- 1) into -1 0.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [backup-simplify]: Simplify 1.0 into 1.0 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (/ 1 1) into 1 0.952 * [backup-simplify]: Simplify (* -1 -1) into 1 0.952 * [backup-simplify]: Simplify (- 1) into -1 0.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.952 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.953 * [backup-simplify]: Simplify -1 into -1 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.954 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (- (/ (- 2.0) -1) (+ (* -1 (/ 0 -1)))) into 2.0 0.957 * [backup-simplify]: Simplify 2.0 into 2.0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.963 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)) (* 2.0 (/ 0 -1)))) into (- 2.0) 0.963 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.963 * [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))) 0.963 * * * [progress]: simplifying candidates 0.965 * [simplify]: Simplifying: (expm1 (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (log1p (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (- (log (+ x 1.0)) (log (- (* 1.0 1.0) (* x x)))) (log (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (exp (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x)))) (* (cbrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (cbrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))))) (cbrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (* (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (sqrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (sqrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (- (+ x 1.0)) (- (- (* 1.0 1.0) (* x x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (+ x 1.0)) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (cbrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- (* 1.0 1.0) (* x x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ 1.0 x)) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (sqrt (+ x 1.0)) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- (* 1.0 1.0) (* x x))) (/ (sqrt (+ x 1.0)) (+ 1.0 x)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (cbrt (- (* 1.0 1.0) (* x x)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ 1 1) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (/ 1 (+ 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (cbrt (- (* 1.0 1.0) (* x x)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ 1 1) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (/ 1 (+ 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (cbrt (+ x 1.0))) (/ (- (* 1.0 1.0) (* x x)) (sqrt (+ x 1.0))) (/ (- (* 1.0 1.0) (* x x)) (+ x 1.0)) (/ (- (* 1.0 1.0) (* x x)) (+ x 1.0)) (/ (+ x 1.0) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (/ (+ x 1.0) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (* (- (* 1.0 1.0) (* x x)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- (* 1.0 1.0) (* x x)) (- x 1.0)) (expm1 (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (log1p (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (+ (- (log (+ x 1.0)) (log (- (* 1.0 1.0) (* x x)))) (log (+ x 1.0))) (+ (log (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (log (+ x 1.0))) (log (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (exp (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x)))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (* (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (cbrt (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) (cbrt (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (* (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (- (* 1.0 1.0) (* x x)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (- (* 1.0 1.0) (* x x)) (- x 1.0)) (* (sqrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (* (sqrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (* (/ (sqrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (* (/ (sqrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) x) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (* 1.0 (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 1) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 1) (* (cbrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (sqrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (cbrt (+ x 1.0)) (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (cbrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (cbrt (+ x 1.0)) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ (cbrt (+ x 1.0)) (- 1.0 x)) (+ x 1.0)) (* (/ (sqrt (+ x 1.0)) (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (sqrt (+ x 1.0)) (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (sqrt (+ x 1.0)) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ (sqrt (+ x 1.0)) (- 1.0 x)) (+ x 1.0)) (* (/ (+ x 1.0) (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ (+ x 1.0) (- 1.0 x)) (+ x 1.0)) (* (/ (+ x 1.0) (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ (+ x 1.0) (- 1.0 x)) (+ x 1.0)) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (+ x 1.0)) (* (+ (* 1.0 1.0) (* x x)) (+ x 1.0)) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) 1.0)) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (+ (* 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))) 0.966 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (- (* h1 h1) (* 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h1)) (* (+ (* h1 h1) (* h0 h0)) (+ h0 h1)) (* (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (+ (pow h0 3) (pow h1 3))) (* (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (+ h0 h1)) (+ (* h1 (pow h0 2)) (+ (* h1 h0) h1)) (- (+ (* h1 (/ 1 (pow h0 2))) (+ (/ 1 h0) (* h1 (/ 1 (pow h0 3)))))) (- (+ (* h1 (/ 1 (pow h0 2))) (+ (/ 1 h0) (* h1 (/ 1 (pow h0 3)))))) (+ (* 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))) 0.972 * * [simplify]: iteration 0 : 519 enodes (cost 871 ) 0.981 * * [simplify]: iteration 1 : 2326 enodes (cost 764 ) 1.020 * * [simplify]: iteration 2 : 5002 enodes (cost 660 ) 1.024 * * * [progress]: adding candidates to table 1.196 * [progress]: [Phase 3 of 3] Extracting. 1.196 * * [regime]: Finding splitpoints for: (# # #) 1.196 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.196 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 1.207 * * * * [regimes]: Trying to branch on x from (# # #) 1.218 * * * [regime]: Found split indices: #