15.109 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (- 1.0 (* x 0.5))) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.017 * * [simplify]: iteration 2 : 23 enodes (cost 7 ) 0.020 * * [simplify]: iteration 3 : 43 enodes (cost 7 ) 0.026 * * [simplify]: iteration 4 : 55 enodes (cost 7 ) 0.033 * * [simplify]: iteration done : 55 enodes (cost 7 ) 0.033 * [simplify]: Simplified to: (* x (- 1.0 (* x 0.5))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.048 * [taylor]: Taking taylor expansion of 0.5 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.048 * [taylor]: Taking taylor expansion of 0.5 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.073 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 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 0.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.093 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in (x) around 0 0.093 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.093 * [taylor]: Taking taylor expansion of -1 in x 0.093 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.093 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of 0.5 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.095 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 0.5 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.117 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying using # : (expm1 (* x (- 1.0 (* x 0.5)))) (log1p (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (* (* (* x x) x) (* (* (- 1.0 (* x 0.5)) (- 1.0 (* x 0.5))) (- 1.0 (* x 0.5)))) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (* (* (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x (fma (sqrt 1.0) (sqrt 1.0) (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x (fma 1 1.0 (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x 1.0) (* x (- (* x 0.5))) (* x 1.0) (* x (- (* x 0.5))) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* (fma 1 1.0 (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* 1.0 x) (* (- (* x 0.5)) x) (* 1.0 x) (* (- (* x 0.5)) x) (* x (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (* x 1) (* (cbrt x) (- 1.0 (* x 0.5))) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- (pow 1.0 3) (pow (* x 0.5) 3))) (* x (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 0.120 * * [simplify]: iteration 0 : 71 enodes (cost 411 ) 0.138 * * [simplify]: iteration 1 : 151 enodes (cost 408 ) 0.172 * * [simplify]: iteration 2 : 401 enodes (cost 356 ) 0.316 * * [simplify]: iteration 3 : 1387 enodes (cost 347 ) 1.491 * * [simplify]: iteration done : 5000 enodes (cost 341 ) 1.492 * [simplify]: Simplified to: (expm1 (* x (- 1.0 (* x 0.5)))) (log1p (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (log (* x (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (pow (* x (- 1.0 (* x 0.5))) 3) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (pow (* x (- 1.0 (* x 0.5))) 3) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* (fma (- x) 0.5 (pow (cbrt 1.0) 3)) x) (* (* x (- x x)) 0.5) (* x (- 1.0 (* x 0.5))) (* (* x (- x x)) 0.5) (* x (- 1.0 (* x 0.5))) (* (* x (- x x)) 0.5) (* 1.0 x) (* (* x 0.5) (- x)) (* 1.0 x) (* (* x 0.5) (- x)) (* (fma (- x) 0.5 (pow (cbrt 1.0) 3)) x) (* (* x (- x x)) 0.5) (* x (- 1.0 (* x 0.5))) (* (* x (- x x)) 0.5) (* x (- 1.0 (* x 0.5))) (* (* x (- x x)) 0.5) (* 1.0 x) (* (* x 0.5) (- x)) (* 1.0 x) (* (* x 0.5) (- x)) (* x (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) x (* (cbrt x) (- 1.0 (* x 0.5))) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- (pow 1.0 3) (pow (* x 0.5) 3))) (* (fma x 0.5 1.0) (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) 1.492 * * * [progress]: adding candidates to table 1.538 * * [progress]: iteration 2 / 4 1.538 * * * [progress]: picking best candidate 1.539 * * * * [pick]: Picked # 1.539 * * * [progress]: localizing error 1.545 * * * [progress]: generating rewritten candidates 1.545 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.549 * * * [progress]: generating series expansions 1.549 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.549 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 1.549 * [taylor]: Taking taylor expansion of 0.5 in x 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 1.550 * [taylor]: Taking taylor expansion of 0.5 in x 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.568 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 1.568 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 1.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of 1.0 in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.568 * [taylor]: Taking taylor expansion of 0.5 in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 1.569 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.570 * [taylor]: Taking taylor expansion of 0.5 in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.597 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in (x) around 0 1.597 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 1.597 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 1.597 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.597 * [taylor]: Taking taylor expansion of 0.5 in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.598 * [taylor]: Taking taylor expansion of 0.5 in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.624 * * * [progress]: simplifying candidates 1.624 * [simplify]: Simplifying using # : (expm1 (+ (* 1.0 x) (* (* x 0.5) (- x)))) (log1p (+ (* 1.0 x) (* (* x 0.5) (- x)))) (* (exp (* 1.0 x)) (exp (* (* x 0.5) (- x)))) (log (+ (* 1.0 x) (* (* x 0.5) (- x)))) (exp (+ (* 1.0 x) (* (* x 0.5) (- x)))) (* (cbrt (+ (* 1.0 x) (* (* x 0.5) (- x)))) (cbrt (+ (* 1.0 x) (* (* x 0.5) (- x))))) (cbrt (+ (* 1.0 x) (* (* x 0.5) (- x)))) (* (* (+ (* 1.0 x) (* (* x 0.5) (- x))) (+ (* 1.0 x) (* (* x 0.5) (- x)))) (+ (* 1.0 x) (* (* x 0.5) (- x)))) (sqrt (+ (* 1.0 x) (* (* x 0.5) (- x)))) (sqrt (+ (* 1.0 x) (* (* x 0.5) (- x)))) (+ (pow (* 1.0 x) 3) (pow (* (* x 0.5) (- x)) 3)) (+ (* (* 1.0 x) (* 1.0 x)) (- (* (* (* x 0.5) (- x)) (* (* x 0.5) (- x))) (* (* 1.0 x) (* (* x 0.5) (- x))))) (- (* (* 1.0 x) (* 1.0 x)) (* (* (* x 0.5) (- x)) (* (* x 0.5) (- x)))) (- (* 1.0 x) (* (* x 0.5) (- x))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 1.626 * * [simplify]: iteration 0 : 35 enodes (cost 248 ) 1.632 * * [simplify]: iteration 1 : 122 enodes (cost 225 ) 1.679 * * [simplify]: iteration 2 : 506 enodes (cost 186 ) 2.196 * * [simplify]: iteration 3 : 2363 enodes (cost 164 ) 3.562 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 3.563 * [simplify]: Simplified to: (expm1 (* (- 1.0 (* x 0.5)) x)) (log1p (* (- 1.0 (* x 0.5)) x)) (pow (exp x) (- 1.0 (* x 0.5))) (log (* (- 1.0 (* x 0.5)) x)) (pow (exp x) (- 1.0 (* x 0.5))) (* (cbrt (* (- 1.0 (* x 0.5)) x)) (cbrt (* (- 1.0 (* x 0.5)) x))) (cbrt (* (- 1.0 (* x 0.5)) x)) (pow (* (- 1.0 (* x 0.5)) x) 3) (sqrt (* (- 1.0 (* x 0.5)) x)) (sqrt (* (- 1.0 (* x 0.5)) x)) (- (pow (* 1.0 x) 3) (pow (* (* x 0.5) x) 3)) (fma (* 1.0 (pow x 2)) 1.0 (* (* (pow x 3) 0.5) (+ 1.0 (* x 0.5)))) (* (* (pow x 2) (- 1.0 (* x 0.5))) (+ 1.0 (* x 0.5))) (* (+ 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x) 3.563 * * * [progress]: adding candidates to table 3.599 * [progress]: [Phase 3 of 3] Extracting. 3.599 * * [regime]: Finding splitpoints for: (# #) 3.600 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- 1.0 (* x 0.5))) x) 3.600 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x 0.5))) from (# #) 3.609 * * * * [regimes]: Trying to branch on x from (# #) 3.618 * * * [regime]: Found split indices: #