5.219 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.021 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.022 * * [simplify]: iteration 1 : 12 enodes (cost 4 ) 0.024 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.024 * [simplify]: Simplified to: (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.089 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.090 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.100 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.127 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.150 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.165 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.174 * * * [progress]: simplifying candidates 0.182 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))))) (fma (- (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x))))) (fma (- (sqrt (/ 1.0 x))) (sqrt (/ 1.0 x)) (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1.0) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))))) (fma (- (/ (cbrt 1.0) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) x)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1.0) (cbrt x))) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x))))) (fma (- (/ (sqrt 1.0) (sqrt x))) (/ (sqrt 1.0) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) x)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1.0 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1.0 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ 1.0 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 x) (/ 1 1)))) (fma (- (/ 1.0 x)) (/ 1 1) (* (/ 1.0 x) (/ 1 1))) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 x) 1))) (fma (- (/ 1.0 x)) 1 (* (/ 1.0 x) 1)) (fma (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (- (* (/ 1 x) 1.0))) (fma (- (/ 1 x)) 1.0 (* (/ 1 x) 1.0)) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))))) (fma (- (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x))))) (fma (- (sqrt (/ 1.0 x))) (sqrt (/ 1.0 x)) (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1.0) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))))) (fma (- (/ (cbrt 1.0) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) x)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1.0) (cbrt x))) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x))))) (fma (- (/ (sqrt 1.0) (sqrt x))) (/ (sqrt 1.0) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) x)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1.0 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1.0 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ 1.0 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x)))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 x) (/ 1 1)))) (fma (- (/ 1.0 x)) (/ 1 1) (* (/ 1.0 x) (/ 1 1))) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ 1.0 x) 1))) (fma (- (/ 1.0 x)) 1 (* (/ 1.0 x) 1)) (fma (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- (* (/ 1 x) 1.0))) (fma (- (/ 1 x)) 1.0 (* (/ 1 x) 1.0)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))))) (fma (- (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (/ 1.0 x)) (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x))))) (fma (- (sqrt (/ 1.0 x))) (sqrt (/ 1.0 x)) (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1.0) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1.0) (cbrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))))) (fma (- (/ (cbrt 1.0) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (* (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) x)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) x) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1.0) (cbrt x))) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1.0) (cbrt x)) (/ (sqrt 1.0) (* (cbrt x) (cbrt x))))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x))))) (fma (- (/ (sqrt 1.0) (sqrt x))) (/ (sqrt 1.0) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) x)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 1))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (- (* (/ 1.0 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1.0 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1.0 (cbrt 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1.0)) (/ 1.0 x)) (- (/ 1 (+ x 1.0)) (/ 1 x)) (- (/ 1.0 x)) (expm1 (/ 1.0 (+ x 1.0))) (log1p (/ 1.0 (+ x 1.0))) (- (log 1.0) (log (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 1) (/ 1.0 1) (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.208 * * [simplify]: iteration 0 : 873 enodes (cost 6795 ) 0.221 * * [simplify]: iteration 1 : 2645 enodes (cost 4746 ) 0.267 * * [simplify]: iteration 2 : 5001 enodes (cost 3686 ) 0.286 * 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(/ (* 1.0 (fma 1.0 (- 1.0 x) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (/ (* 1.0 (fma 1.0 (- 1.0 x) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (pow (/ (cbrt 1.0) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 1.0 (cbrt x))) (/ 1.0 (cbrt x)))) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (pow (/ (cbrt 1.0) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 1.0 (cbrt x))) (/ 1.0 (cbrt x)))) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (pow (/ (cbrt 1.0) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 1.0 (cbrt x))) (/ 1.0 (cbrt x)))) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 x)) (fma (- (/ 1.0 x)) 1 (/ 1.0 x)) (expm1 (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (log1p (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (- (/ 1.0 x)) (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (log (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (pow (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 3) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 x) 3)) (fma (/ 1.0 x) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)))) (- (/ 1.0 x)) (- (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (* (/ 1.0 x) (/ 1.0 x))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (+ (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1 (+ x 1.0)) (/ 1 x)) (- (/ 1.0 x)) (expm1 (/ 1.0 (+ x 1.0))) (log1p (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) 1 (/ 1.0 (+ x 1.0)) 1 (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) 1.0 1.0 (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (fma 1.0 x (/ 1.0 x))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (fma (pow x 2) 1.0 (- 1.0 (* 1.0 x))) (fma 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2))) (/ 1.0 x)) (fma 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2))) (/ 1.0 x)) 0.290 * * * [progress]: adding candidates to table 0.491 * * [progress]: iteration 2 / 4 0.491 * * * [progress]: picking best candidate 0.496 * * * * [pick]: Picked # 0.496 * * * [progress]: localizing error 0.502 * * * [progress]: generating rewritten candidates 0.502 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.509 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.523 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.534 * * * [progress]: generating series expansions 0.535 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.535 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.538 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.542 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.542 * [taylor]: Taking taylor expansion of -1.0 in x 0.542 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.544 * [taylor]: Taking taylor expansion of -1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of -1.0 in x 0.553 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of -1.0 in x 0.554 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.577 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.577 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.587 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.588 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.598 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.624 * * * [progress]: simplifying candidates 0.625 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma (- (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (fma (- (sqrt (+ x 1.0))) (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (fma (sqrt x) (sqrt x) (- (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma (- (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (fma (sqrt x) (sqrt x) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (fma (- (sqrt (+ x 1.0))) (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (fma (sqrt x) (sqrt x) (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (fma (sqrt x) (sqrt x) (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (fma 1 x (- (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma (- (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (fma 1 x (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (fma (- (sqrt (+ x 1.0))) (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (fma 1 x (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (fma 1 x (- (* (+ x 1.0) 1))) (fma (- (+ x 1.0)) 1 (* (+ x 1.0) 1)) (expm1 (- x (+ x 1.0))) (log1p (- x (+ x 1.0))) (- (+ x 1.0)) (- (+ x 1.0)) (- (+ x 1.0)) (/ (exp x) (* (exp x) (exp 1.0))) (/ (exp x) (exp (+ x 1.0))) (log (- x (+ x 1.0))) (exp (- x (+ x 1.0))) (* (cbrt (- x (+ x 1.0))) (cbrt (- x (+ x 1.0)))) (cbrt (- x (+ x 1.0))) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (- (pow x 3) (pow (+ x 1.0) 3)) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0)))) (- (+ x 1.0)) (- (* x x) (* (+ x 1.0) (+ x 1.0))) (+ x (+ x 1.0)) (+ (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0))) (- x (+ x 1.0)) (- x (+ x 1.0)) (- x x) (- (+ x 1.0)) (expm1 (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log1p (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (- (log (* 1.0 (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (log (* 1.0 (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (exp (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (* (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (* (* (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (- (* 1.0 (- x (+ x 1.0)))) (- (* (+ x 1.0) x)) (/ 1.0 (+ x 1.0)) (/ (- x (+ x 1.0)) x) (/ 1 (* (+ x 1.0) x)) (/ (* (+ x 1.0) x) (* 1.0 (- x (+ x 1.0)))) (/ (* 1.0 (- x (+ x 1.0))) (+ x 1.0)) (/ (* (+ x 1.0) x) (- x (+ x 1.0))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (- (* x x) (* 1.0 1.0)) x)) (* (* (+ x 1.0) x) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0))))) (* (* (+ x 1.0) x) (+ x (+ x 1.0))) (expm1 (* (+ x 1.0) x)) (log1p (* (+ x 1.0) x)) (* (+ x 1.0) x) (+ (log (+ x 1.0)) (log x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x)) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0) (- 1.0) (- 1.0) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) 0.631 * * [simplify]: iteration 0 : 402 enodes (cost 611 ) 0.640 * * [simplify]: iteration 1 : 2289 enodes (cost 439 ) 0.690 * * [simplify]: iteration 2 : 5001 enodes (cost 426 ) 0.693 * [simplify]: Simplified to: (- (* (* (cbrt x) (cbrt x)) (cbrt x)) (+ x 1.0)) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- (* (* (cbrt x) (cbrt x)) (cbrt x)) (+ x 1.0)) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- (* (* (cbrt x) (cbrt x)) (cbrt x)) (+ x 1.0)) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- (* (* (cbrt x) (cbrt x)) (cbrt x)) (+ x 1.0)) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)) (expm1 (- x (+ x 1.0))) (log1p (- x (+ x 1.0))) (- (+ x 1.0)) (- (+ x 1.0)) (- (+ x 1.0)) (/ 1 (exp 1.0)) (/ 1 (exp 1.0)) (log (- 0 1.0)) (/ 1 (exp 1.0)) (* (cbrt (- x (+ x 1.0))) (cbrt (- x (+ x 1.0)))) (cbrt (- x (+ x 1.0))) (pow (- 0 1.0) 3) (sqrt (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (- (pow x 3) (pow (+ x 1.0) 3)) (fma (+ x 1.0) (+ x (+ x 1.0)) (pow x 2)) (- (+ x 1.0)) (* (- 0 1.0) (+ x (+ x 1.0))) (fma 2 x 1.0) (+ (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0))) (- 0 1.0) (- 0 1.0) 0 (- (+ x 1.0)) (expm1 (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log1p (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (pow (exp (/ (- 0 1.0) (+ x 1.0))) (/ 1.0 x)) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (* (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (* 1.0 1.0) (- (* (+ x 1.0) x)) (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x) (/ 1 (* (+ x 1.0) x)) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)) (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) (/ x (/ (- 0 1.0) (+ x 1.0))) (/ 1.0 (/ (* (+ (pow x 3) (pow 1.0 3)) x) (- 0 1.0))) (/ 1.0 (/ (* (- (* x x) (* 1.0 1.0)) x) (- 0 1.0))) (* (* x (+ x 1.0)) (fma (+ x 1.0) (+ x (+ x 1.0)) (pow x 2))) (* (* (+ x 1.0) x) (+ x (+ x 1.0))) (expm1 (* (+ x 1.0) x)) (log1p (* (+ x 1.0) x)) (* x (+ x 1.0)) (log (* (+ x 1.0) x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (pow (* x (+ x 1.0)) 3) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (pow (* x (+ x 1.0)) 3) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (+ x 1.0) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* x (+ x 1.0)) (* x (+ x 1.0)) (fma x (pow 1.0 3) (pow x 4)) (* (- (* x x) (* 1.0 1.0)) x) (- 0 1.0) (- 0 1.0) (- 0 1.0) (fma (- 0 1.0) (+ x (/ 1 x)) 1.0) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* x (+ x 1.0)) (* x (+ x 1.0)) (* x (+ x 1.0)) 0.693 * * * [progress]: adding candidates to table 0.805 * * [progress]: iteration 3 / 4 0.805 * * * [progress]: picking best candidate 0.812 * * * * [pick]: Picked # 0.812 * * * [progress]: localizing error 0.818 * * * [progress]: generating rewritten candidates 0.818 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.835 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.845 * * * [progress]: generating series expansions 0.845 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.846 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.846 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.846 * [taylor]: Taking taylor expansion of -1.0 in x 0.846 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.848 * [taylor]: Taking taylor expansion of -1.0 in x 0.848 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.857 * [taylor]: Taking taylor expansion of -1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.858 * [taylor]: Taking taylor expansion of -1.0 in x 0.858 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.868 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.869 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.881 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.881 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.911 * * * [progress]: simplifying candidates 0.913 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log1p (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (+ (- (log 1.0) (log (+ x 1.0))) (- (log (- 0 1.0)) (log x))) (+ (- (log 1.0) (log (+ x 1.0))) (log (/ (- 0 1.0) x))) (+ (log (/ 1.0 (+ x 1.0))) (- (log (- 0 1.0)) (log x))) (+ (log (/ 1.0 (+ x 1.0))) (log (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (exp (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (/ (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)) (* (* x x) x))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (* (/ (- 0 1.0) x) (/ (- 0 1.0) x)) (/ (- 0 1.0) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (/ (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)) (* (* x x) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (* (* (/ (- 0 1.0) x) (/ (- 0 1.0) x)) (/ (- 0 1.0) x))) (* (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* 1.0 (- 0 1.0)) (* (+ x 1.0) x) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (* (cbrt (/ (- 0 1.0) x)) (cbrt (/ (- 0 1.0) x)))) (* (/ 1.0 (+ x 1.0)) (sqrt (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) 1)) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) 1)) (* (/ 1.0 (+ x 1.0)) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ 1 (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1 1)) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) 1)) (* (/ 1.0 (+ x 1.0)) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ 1 (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1 1)) (* (/ 1.0 (+ x 1.0)) 1) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* (cbrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1 (+ x 1.0)) (/ (- 0 1.0) x)) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ (- 0 1.0) x)) (* (- x 1.0) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* 1.0 (/ (- 0 1.0) x)) (expm1 (/ 1.0 (+ x 1.0))) (log1p (/ 1.0 (+ x 1.0))) (- (log 1.0) (log (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 1) (/ 1.0 1) (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.919 * * [simplify]: iteration 0 : 503 enodes (cost 681 ) 0.930 * * [simplify]: iteration 1 : 2483 enodes (cost 611 ) 0.969 * * [simplify]: iteration 2 : 5001 enodes (cost 609 ) 0.973 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log1p (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (exp (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (* (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* 1.0 (- 0 1.0)) (* (+ x 1.0) x) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (* (cbrt (/ (- 0 1.0) x)) (cbrt (/ (- 0 1.0) x)))) (* (/ 1.0 (+ x 1.0)) (sqrt (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (sqrt x))) (/ (* 1.0 (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0)))) (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (sqrt x))) (/ (* 1.0 (sqrt (- 0 1.0))) (+ x 1.0)) (/ (/ 1.0 (+ x 1.0)) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (+ x 1.0)) (sqrt x)) (/ 1.0 (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (sqrt x))) (/ (* 1.0 (+ (sqrt 0) (sqrt 1.0))) (+ x 1.0)) (/ (/ 1.0 (+ x 1.0)) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (+ x 1.0)) (sqrt x)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* (cbrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (/ (/ (- 0 1.0) x) (+ x 1.0)) (/ (* (- 0 1.0) (fma 1.0 (- 1.0 x) (pow x 2))) x) (* (- x 1.0) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* 1.0 (/ (- 0 1.0) x)) (expm1 (/ 1.0 (+ x 1.0))) (log1p (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 0 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) 1 (/ 1.0 (+ x 1.0)) 1 (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) 1.0 1.0 (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (fma 1.0 x (* 1.0 (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (fma (pow x 2) 1.0 (- 1.0 (* 1.0 x))) (fma 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2))) (/ 1.0 x)) (fma 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2))) (/ 1.0 x)) 0.973 * * * [progress]: adding candidates to table 1.127 * * [progress]: iteration 4 / 4 1.127 * * * [progress]: picking best candidate 1.133 * * * * [pick]: Picked # 1.133 * * * [progress]: localizing error 1.139 * * * [progress]: generating rewritten candidates 1.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.145 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 1.152 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.153 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 1.153 * [taylor]: Taking taylor expansion of -1.0 in x 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 1.155 * [taylor]: Taking taylor expansion of -1.0 in x 1.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.169 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of -1.0 in x 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.171 * [taylor]: Taking taylor expansion of -1.0 in x 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.181 * [approximate]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.182 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.194 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 1.195 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 1.204 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.204 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.205 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.215 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 1.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.236 * * * [progress]: simplifying candidates 1.236 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log1p (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (- (+ (log 1.0) (log 1.0)) (log (- (* (+ x 1.0) x)))) (- (log (* 1.0 1.0)) (log (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (* (* (- (* (+ x 1.0) x)) (- (* (+ x 1.0) x))) (- (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* (- (* (+ x 1.0) x)) (- (* (+ x 1.0) x))) (- (* (+ x 1.0) x)))) (* (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (* (* (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (- (* 1.0 1.0)) (- (- (* (+ x 1.0) x))) (/ 1.0 (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ 1.0 (cbrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 1) (/ 1.0 (- (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (- (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (- x)) (/ 1 (- (* (+ x 1.0) x))) (/ (- (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (- (* (+ x 1.0) x)))) (/ (* 1.0 1.0) 1) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (- (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (- (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (- (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (- (* (- (* x x) (* 1.0 1.0)) x))) (expm1 (* (+ x 1.0) x)) (log1p (* (+ x 1.0) x)) (* (+ x 1.0) x) (+ (log (+ x 1.0)) (log x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x)) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) 1.241 * * [simplify]: iteration 0 : 291 enodes (cost 326 ) 1.248 * * [simplify]: iteration 1 : 1577 enodes (cost 286 ) 1.279 * * [simplify]: iteration 2 : 5001 enodes (cost 285 ) 1.281 * [simplify]: Simplified to: (expm1 (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log1p (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (* (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (- (* 1.0 1.0)) (* (+ x 1.0) x) (/ 1.0 (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ 1.0 (cbrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) 1.0 (/ 1.0 (- (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (- (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (- x)) (/ 1 (- (* (+ x 1.0) x))) (/ (- (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (- (* (+ x 1.0) x)))) (* 1.0 1.0) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (- (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (- (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (- (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (- (* (- (* x x) (* 1.0 1.0)) x))) (expm1 (* (+ x 1.0) x)) (log1p (* (+ x 1.0) x)) (* (+ x 1.0) x) (log (* (+ x 1.0) x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (pow (* (+ x 1.0) x) 3) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (pow (* (+ x 1.0) x) 3) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (+ x 1.0) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (fma x (pow 1.0 3) (pow x 4)) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0 (fma 1.0 x (* 1.0 (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ x 1.0) x) 1.282 * * * [progress]: adding candidates to table 1.366 * [progress]: [Phase 3 of 3] Extracting. 1.366 * * [regime]: Finding splitpoints for: (# # # # #) 1.367 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.367 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.381 * * * [regime]: Found split indices: #