0.724 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.327 * * * [progress]: [2/2] Setting up program. 0.330 * [progress]: [Phase 2 of 3] Improving. 0.333 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.338 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.339 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.340 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.340 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.342 * * [progress]: iteration 1 / 4 0.342 * * * [progress]: picking best candidate 0.344 * * * * [pick]: Picked # 0.344 * * * [progress]: localizing error 0.377 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.395 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.396 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.396 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.401 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.401 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.426 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.440 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.442 * [taylor]: Taking taylor expansion of -1 in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.531 * * * [progress]: simplifying candidates 0.532 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) 0.536 * * [simplify]: iteration 0 : 228 enodes (cost 232 ) 0.541 * * [simplify]: iteration 1 : 907 enodes (cost 226 ) 0.561 * * [simplify]: iteration 2 : 4455 enodes (cost 224 ) 0.683 * * [simplify]: iteration 3 : 5001 enodes (cost 224 ) 0.684 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (+ (* NAN (+ x (pow x 2))) (- (* 2 (* (pow x 3) (pow NAN 5))) (* (pow NAN 3) (+ (* 2 (pow x 3)) (pow x 2))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) 0.685 * * * [progress]: adding candidates to table 0.752 * * [progress]: iteration 2 / 4 0.752 * * * [progress]: picking best candidate 0.753 * * * * [pick]: Picked # 0.753 * * * [progress]: localizing error 0.759 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.764 * * * [progress]: generating series expansions 0.764 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.764 * [approximate]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in (x) around 0 0.764 * [taylor]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of 0.5 in x 0.765 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of 0.125 in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of 0.5 in x 0.765 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of 0.125 in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.775 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 x)) in x 0.776 * [taylor]: Taking taylor expansion of 0.5 in x 0.776 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.776 * [taylor]: Taking taylor expansion of 0.125 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 x)) in x 0.776 * [taylor]: Taking taylor expansion of 0.5 in x 0.776 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.776 * [taylor]: Taking taylor expansion of 0.125 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.782 * [approximate]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.782 * [taylor]: Taking taylor expansion of 0.125 in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ 0.5 (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of 0.5 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.782 * [taylor]: Taking taylor expansion of 0.125 in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ 0.5 (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of 0.5 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.788 * * * [progress]: simplifying candidates 0.788 * [simplify]: Simplifying using # : (/ (exp x) (* (exp 0.5) (exp (* 0.125 (/ 1 x))))) (/ (exp x) (exp (+ 0.5 (* 0.125 (/ 1 x))))) (log (- x (+ 0.5 (* 0.125 (/ 1 x))))) (exp (- x (+ 0.5 (* 0.125 (/ 1 x))))) (* (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x)))))) (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (* (* (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- x (+ 0.5 (* 0.125 (/ 1 x))))) (- x (+ 0.5 (* 0.125 (/ 1 x))))) (sqrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (sqrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (- (pow x 3) (pow (+ 0.5 (* 0.125 (/ 1 x))) 3)) (+ (* x x) (+ (* (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x)))) (* x (+ 0.5 (* 0.125 (/ 1 x)))))) (neg (+ 0.5 (* 0.125 (/ 1 x)))) (- (* x x) (* (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x))))) (+ x (+ 0.5 (* 0.125 (/ 1 x)))) (+ (sqrt x) (sqrt (+ 0.5 (* 0.125 (/ 1 x))))) (- (sqrt x) (sqrt (+ 0.5 (* 0.125 (/ 1 x))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- x 0.5) (neg (+ 0.5 (* 0.125 (/ 1 x)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.791 * * [simplify]: iteration 0 : 96 enodes (cost 126 ) 0.794 * * [simplify]: iteration 1 : 283 enodes (cost 117 ) 0.799 * * [simplify]: iteration 2 : 1070 enodes (cost 115 ) 0.822 * * [simplify]: iteration 3 : 5001 enodes (cost 110 ) 0.824 * [simplify]: Simplified to: (exp (- x (+ 0.5 (* 0.125 (/ 1 x))))) (exp (- x (+ 0.5 (* 0.125 (/ 1 x))))) (log (- x (+ 0.5 (* 0.125 (/ 1 x))))) (exp (- x (+ 0.5 (* 0.125 (/ 1 x))))) (* (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x)))))) (cbrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (pow (- x (+ 0.5 (* 0.125 (/ 1 x)))) 3) (sqrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (sqrt (- x (+ 0.5 (* 0.125 (/ 1 x))))) (- (pow x 3) (pow (+ 0.5 (* 0.125 (/ 1 x))) 3)) (+ (* (+ 0.5 (* 0.125 (/ 1 x))) (+ (+ 0.5 (* 0.125 (/ 1 x))) x)) (* x x)) (- (/ (neg 0.125) x) 0.5) (- (* x x) (* (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x))))) (+ (+ x (/ 0.125 x)) 0.5) (+ (sqrt x) (sqrt (+ 0.5 (* 0.125 (/ 1 x))))) (- (sqrt x) (sqrt (+ 0.5 (* 0.125 (/ 1 x))))) (- (- x (/ 0.125 x)) 0.5) (- x 0.5) (- (/ (neg 0.125) x) 0.5) (- (- x (/ 0.125 x)) 0.5) (- (- x (/ 0.125 x)) 0.5) (- (- x (/ 0.125 x)) 0.5) 0.824 * * * [progress]: adding candidates to table 0.848 * [progress]: [Phase 3 of 3] Extracting. 0.849 * * [regime]: Finding splitpoints for: (# #) 0.849 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.849 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# #) 0.871 * * * * [regimes]: Trying to branch on x from (# #) 0.881 * * * [regime]: Found split indices: #