8.469 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (* x (- 1.0 (* x 0.5))) 0.015 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.019 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.020 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (* x (- 1.0 (* x 0.5))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.034 * [taylor]: Taking taylor expansion of 0.5 in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.034 * [taylor]: Taking taylor expansion of 0.5 in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.055 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.055 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of 0.5 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of 0.5 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 x in x 0.079 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.079 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.080 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (* 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 1.0) (* x (- (* x 0.5))) (* x 1.0) (* 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 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))) 0.106 * * [simplify]: iteration 0 : 122 enodes (cost 130 ) 0.109 * * [simplify]: iteration 1 : 534 enodes (cost 113 ) 0.122 * * [simplify]: iteration 2 : 2890 enodes (cost 113 ) 0.186 * * [simplify]: iteration 3 : 5002 enodes (cost 113 ) 0.187 * [simplify]: Simplified to: (* 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 (- 1.0 (* x 0.5))) (pow x 1/2)) (* (sqrt (- 1.0 (* x 0.5))) (pow x 1/2)) (* x 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 (* (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))) (* x (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) 0.187 * * * [progress]: adding candidates to table 0.219 * * [progress]: iteration 2 / 4 0.220 * * * [progress]: picking best candidate 0.221 * * * * [pick]: Picked # 0.221 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.230 * * * [progress]: generating series expansions 0.230 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.230 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 0.230 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 0.230 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.274 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of 0.5 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.302 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (* (exp (* x 1.0)) (exp (* x (- (* x 0.5))))) (log (+ (* x 1.0) (* x (- (* x 0.5))))) (exp (+ (* x 1.0) (* x (- (* x 0.5))))) (* (cbrt (+ (* x 1.0) (* x (- (* x 0.5))))) (cbrt (+ (* x 1.0) (* x (- (* x 0.5)))))) (cbrt (+ (* x 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))))) (sqrt (+ (* x 1.0) (* x (- (* x 0.5))))) (sqrt (+ (* x 1.0) (* x (- (* x 0.5))))) (+ (pow (* x 1.0) 3) (pow (* x (- (* x 0.5))) 3)) (+ (* (* 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 1.0)) (* (* x (- (* x 0.5))) (* x (- (* x 0.5))))) (- (* x 1.0) (* x (- (* x 0.5)))) (+ 1.0 (- (* 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))) 0.305 * * [simplify]: iteration 0 : 116 enodes (cost 114 ) 0.308 * * [simplify]: iteration 1 : 493 enodes (cost 90 ) 0.324 * * [simplify]: iteration 2 : 3196 enodes (cost 86 ) 0.419 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.420 * [simplify]: Simplified to: (pow (exp x) (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (pow (exp x) (- 1.0 (* x 0.5))) (* (cbrt (+ (* x 1.0) (* x (- (* x 0.5))))) (cbrt (+ (* x 1.0) (* x (- (* x 0.5)))))) (cbrt (+ (* x 1.0) (* x (- (* x 0.5))))) (pow (* (- 1.0 (* x 0.5)) x) 3) (sqrt (+ (* x 1.0) (* x (- (* x 0.5))))) (sqrt (+ (* x 1.0) (* x (- (* x 0.5))))) (- (pow (* x 1.0) 3) (pow (* x (* x 0.5)) 3)) (* x (+ (* 1.0 (* x 1.0)) (* (- (* x 0.5)) (* x (- (- (* x 0.5)) 1.0))))) (* (pow x 2) (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (* x (+ 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) 0.420 * * * [progress]: adding candidates to table 0.445 * [progress]: [Phase 3 of 3] Extracting. 0.445 * * [regime]: Finding splitpoints for: (# #) 0.445 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- 1.0 (* x 0.5))) x) 0.445 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x 0.5))) from (# #) 0.457 * * * * [regimes]: Trying to branch on x from (# #) 0.466 * * * [regime]: Found split indices: #