16.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (* x (- x 1.0)) 0.012 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.013 * * [simplify]: iteration 2 : 13 enodes (cost 5 ) 0.015 * * [simplify]: iteration 3 : 19 enodes (cost 5 ) 0.017 * * [simplify]: iteration 4 : 25 enodes (cost 5 ) 0.020 * * [simplify]: iteration 5 : 27 enodes (cost 5 ) 0.022 * * [simplify]: iteration done : 27 enodes (cost 5 ) 0.023 * [simplify]: Simplified to: (* x (- x 1.0)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.043 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.043 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.057 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.072 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.072 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of 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 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.084 * * * [progress]: simplifying candidates 0.084 * [simplify]: Simplifying using # : (expm1 (* x (- x 1.0))) (log1p (* x (- x 1.0))) (* x (- x 1.0)) (+ (log x) (log (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* (* x x) x) (* (* (- x 1.0) (- x 1.0)) (- 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))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt 1.0) (sqrt 1.0))))) (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* 1.0 1)))) (* x (fma (- 1.0) 1 (* 1.0 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt 1.0) (sqrt 1.0))))) (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* x (fma (sqrt x) (sqrt x) (- (* 1.0 1)))) (* x (fma (- 1.0) 1 (* 1.0 1))) (* x (fma 1 x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* x (fma 1 x (- (* (sqrt 1.0) (sqrt 1.0))))) (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* x (fma 1 x (- (* 1.0 1)))) (* x (fma (- 1.0) 1 (* 1.0 1))) (* x x) (* x (- 1.0)) (* x x) (* x (- 1.0)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) x) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt 1.0) (sqrt 1.0)))) x) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* 1.0 1))) x) (* (fma (- 1.0) 1 (* 1.0 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) x) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt 1.0) (sqrt 1.0)))) x) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* (fma (sqrt x) (sqrt x) (- (* 1.0 1))) x) (* (fma (- 1.0) 1 (* 1.0 1)) x) (* (fma 1 x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) x) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* (fma 1 x (- (* (sqrt 1.0) (sqrt 1.0)))) x) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* (fma 1 x (- (* 1.0 1))) x) (* (fma (- 1.0) 1 (* 1.0 1)) x) (* x x) (* (- 1.0) x) (* x x) (* (- 1.0) x) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) (* x 1) (* x (+ (sqrt x) (sqrt 1.0))) (* x 1) (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 0.087 * * [simplify]: iteration 0 : 98 enodes (cost 721 ) 0.105 * * [simplify]: iteration 1 : 192 enodes (cost 542 ) 0.152 * * [simplify]: iteration 2 : 700 enodes (cost 420 ) 0.527 * * [simplify]: iteration 3 : 3491 enodes (cost 360 ) 2.882 * * [simplify]: iteration done : 5000 enodes (cost 360 ) 2.882 * [simplify]: Simplified to: (expm1 (* x (- x 1.0))) (log1p (* x (- x 1.0))) (* x (- x 1.0)) (log (* x (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x x) (* x (- 1.0)) (* x x) (* x (- 1.0)) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- (pow (cbrt x) 3) 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x (- x 1.0)) (* 0 x) (* x x) (* x (- 1.0)) (* x x) (* x (- 1.0)) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) x (* x (+ (sqrt x) (sqrt 1.0))) x (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 2.883 * * * [progress]: adding candidates to table 2.927 * * [progress]: iteration 2 / 4 2.927 * * * [progress]: picking best candidate 2.928 * * * * [pick]: Picked # 2.929 * * * [progress]: localizing error 2.933 * * * [progress]: generating rewritten candidates 2.934 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.937 * * * [progress]: generating series expansions 2.937 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.937 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 1.0 x)) in (x) around 0 2.937 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 1.0 x)) in x 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.938 * [taylor]: Taking taylor expansion of 1.0 in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 1.0 x)) in x 2.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.938 * [taylor]: Taking taylor expansion of 1.0 in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.956 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in (x) around 0 2.956 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.957 * [taylor]: Taking taylor expansion of 1.0 in x 2.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in (x) around 0 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.978 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.978 * [taylor]: Taking taylor expansion of 1.0 in x 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.978 * [taylor]: Taking taylor expansion of x in x 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.978 * [taylor]: Taking taylor expansion of x in x 2.979 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.979 * [taylor]: Taking taylor expansion of 1.0 in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.996 * * * [progress]: simplifying candidates 2.997 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* x (- 1.0)))) (log1p (+ (* x x) (* x (- 1.0)))) (* (exp (* x x)) (exp (* x (- 1.0)))) (log (+ (* x x) (* x (- 1.0)))) (exp (+ (* x x) (* x (- 1.0)))) (* (cbrt (+ (* x x) (* x (- 1.0)))) (cbrt (+ (* x x) (* x (- 1.0))))) (cbrt (+ (* x x) (* x (- 1.0)))) (* (* (+ (* x x) (* x (- 1.0))) (+ (* x x) (* x (- 1.0)))) (+ (* x x) (* x (- 1.0)))) (sqrt (+ (* x x) (* x (- 1.0)))) (sqrt (+ (* x x) (* x (- 1.0)))) (+ (pow (* x x) 3) (pow (* x (- 1.0)) 3)) (+ (* (* x x) (* x x)) (- (* (* x (- 1.0)) (* x (- 1.0))) (* (* x x) (* x (- 1.0))))) (- (* (* x x) (* x x)) (* (* x (- 1.0)) (* x (- 1.0)))) (- (* x x) (* x (- 1.0))) (+ x (- 1.0)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 2.998 * * [simplify]: iteration 0 : 34 enodes (cost 206 ) 3.004 * * [simplify]: iteration 1 : 111 enodes (cost 146 ) 3.034 * * [simplify]: iteration 2 : 500 enodes (cost 127 ) 3.219 * * [simplify]: iteration 3 : 2033 enodes (cost 124 ) 4.145 * * [simplify]: iteration done : 5000 enodes (cost 124 ) 4.145 * [simplify]: Simplified to: (expm1 (* x (- x 1.0))) (log1p (* x (- x 1.0))) (exp (* x (- 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))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (- (pow x 6) (pow (* 1.0 x) 3)) (fma x (* x (fma 1.0 1.0 (* 1.0 x))) (pow x 4)) (* x (- (pow x 3) (* (* 1.0 1.0) x))) (* x (+ x 1.0)) (- x 1.0) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 4.145 * * * [progress]: adding candidates to table 4.173 * [progress]: [Phase 3 of 3] Extracting. 4.173 * * [regime]: Finding splitpoints for: (# #) 4.173 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- x 1.0)) x) 4.173 * * * * [regimes]: Trying to branch on (* x (- x 1.0)) from (# #) 4.184 * * * * [regimes]: Trying to branch on x from (# #) 4.194 * * * [regime]: Found split indices: #