0.805 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.675 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.676 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.676 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.678 * * [progress]: iteration 1 / 4 0.678 * * * [progress]: picking best candidate 0.681 * * * * [pick]: Picked # 0.681 * * * [progress]: localizing error 0.688 * * * [progress]: generating rewritten candidates 0.688 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.701 * * * [progress]: generating series expansions 0.701 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.706 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.707 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.707 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.707 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.708 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.711 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.712 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.713 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.713 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.717 * * * [progress]: simplifying candidates 0.718 * [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)))) 0.740 * * [simplify]: iteration 0 : 5093 enodes (cost 370 ) 0.742 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (pow (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 (- x 1.0)) (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)) (fabs (cbrt x))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* (pow x 3) 2) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ (* 4 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (- (* (/ (pow NAN 4) x) (- (/ 3.0 x) 2)) (* 1.0 (* (/ NAN x) NAN))))) 0.742 * * * [progress]: adding candidates to table 0.805 * * [progress]: iteration 2 / 4 0.805 * * * [progress]: picking best candidate 0.807 * * * * [pick]: Picked # 0.807 * * * [progress]: localizing error 0.811 * * * [progress]: generating rewritten candidates 0.811 * * * [progress]: generating series expansions 0.811 * * * [progress]: simplifying candidates 0.811 * [simplify]: Simplifying using # : 0.813 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.814 * [simplify]: Simplified to: 0.814 * * * [progress]: adding candidates to table 0.814 * [progress]: [Phase 3 of 3] Extracting. 0.814 * * [regime]: Finding splitpoints for: (# #) 0.814 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.815 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# #) 0.852 * * * * [regimes]: Trying to branch on x from (# #) 0.875 * * * [regime]: Found split indices: #