0.761 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.239 * [progress]: [Phase 2 of 3] Improving. 0.241 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.246 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.247 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.248 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.248 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.250 * * [progress]: iteration 1 / 4 0.250 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.278 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.279 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.279 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.280 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.280 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.284 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.290 * * * [progress]: simplifying candidates 0.290 * [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)))) 0.294 * * [simplify]: iteration 0 : 228 enodes (cost 232 ) 0.298 * * [simplify]: iteration 1 : 907 enodes (cost 226 ) 0.318 * * [simplify]: iteration 2 : 4455 enodes (cost 224 ) 0.441 * * [simplify]: iteration 3 : 5001 enodes (cost 224 ) 0.443 * [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)))) 0.443 * * * [progress]: adding candidates to table 0.502 * * [progress]: iteration 2 / 4 0.502 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * [progress]: generating series expansions 0.511 * * * [progress]: simplifying candidates 0.511 * [simplify]: Simplifying using # : 0.513 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.513 * [simplify]: Simplified to: 0.513 * * * [progress]: adding candidates to table 0.513 * * [progress]: iteration 3 / 4 0.513 * * * [progress]: picking best candidate 0.515 * * * * [pick]: Picked # 0.515 * * * [progress]: localizing error 0.519 * * * [progress]: generating rewritten candidates 0.519 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.524 * * * [progress]: generating series expansions 0.524 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.524 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.524 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.524 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.524 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.524 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.526 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.527 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * * * [progress]: simplifying candidates 0.527 * [simplify]: Simplifying using # : (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))) (- (+ (* 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)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 0.530 * * [simplify]: iteration 0 : 132 enodes (cost 81 ) 0.532 * * [simplify]: iteration 1 : 404 enodes (cost 77 ) 0.540 * * [simplify]: iteration 2 : 1715 enodes (cost 77 ) 0.586 * * [simplify]: iteration 3 : 5001 enodes (cost 74 ) 0.587 * [simplify]: Simplified to: (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))) (+ (+ (* x NAN) (* (pow x 2) (- NAN (pow NAN 3)))) (* (* 2 (pow x 3)) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (/ 0.125 x) (- x 0.5)) 0.587 * * * [progress]: adding candidates to table 0.612 * [progress]: [Phase 3 of 3] Extracting. 0.613 * * [regime]: Finding splitpoints for: (# #) 0.613 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.614 * * * * [regimes]: Trying to branch on x from (# #) 0.638 * * * [regime]: Found split indices: #