0.844 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.291 * * * [progress]: [2/2] Setting up program. 0.294 * [progress]: [Phase 2 of 3] Improving. 0.297 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.302 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.304 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.305 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.305 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.307 * * [progress]: iteration 1 / 4 0.307 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.330 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.335 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.336 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.336 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.342 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.342 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.371 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.371 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.389 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.419 * * * [progress]: simplifying candidates 0.420 * [simplify]: Simplifying using # : (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.424 * * [simplify]: iteration 0 : 188 enodes (cost 226 ) 0.427 * * [simplify]: iteration 1 : 635 enodes (cost 215 ) 0.440 * * [simplify]: iteration 2 : 2636 enodes (cost 210 ) 0.497 * * [simplify]: iteration 3 : 5002 enodes (cost 210 ) 0.498 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.499 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 2 / 4 0.569 * * * [progress]: picking best candidate 0.572 * * * * [pick]: Picked # 0.572 * * * [progress]: localizing error 0.577 * * * [progress]: generating rewritten candidates 0.577 * * * [progress]: generating series expansions 0.577 * * * [progress]: simplifying candidates 0.577 * [simplify]: Simplifying using # : 0.579 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.579 * [simplify]: Simplified to: 0.579 * * * [progress]: adding candidates to table 0.580 * * [progress]: iteration 3 / 4 0.580 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.586 * * * [progress]: generating rewritten candidates 0.586 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.591 * * * [progress]: generating series expansions 0.591 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.591 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.591 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.591 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.596 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.596 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.611 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.612 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.625 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.625 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.629 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.636 * * * [progress]: simplifying candidates 0.636 * [simplify]: Simplifying using # : (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 0.639 * * [simplify]: iteration 0 : 118 enodes (cost 82 ) 0.642 * * [simplify]: iteration 1 : 306 enodes (cost 77 ) 0.648 * * [simplify]: iteration 2 : 1115 enodes (cost 74 ) 0.674 * * [simplify]: iteration 3 : 4409 enodes (cost 73 ) 0.797 * * [simplify]: iteration 4 : 5001 enodes (cost 73 ) 0.798 * [simplify]: Simplified to: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (pow (sqrt (* (- x 1.0) x)) 3) (sqrt (- x 1.0)) (pow x 1/2) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* +nan.0 (fma (- x) x (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (fma 0.125 (/ 1 x) (- 0.5 x)) 0.798 * * * [progress]: adding candidates to table 0.827 * [progress]: [Phase 3 of 3] Extracting. 0.828 * * [regime]: Finding splitpoints for: (# # #) 0.828 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.829 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 0.852 * * * * [regimes]: Trying to branch on x from (# # #) 0.864 * * * [regime]: Found split indices: #