0.788 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.336 * * * [progress]: [2/2] Setting up program. 0.339 * [progress]: [Phase 2 of 3] Improving. 0.342 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.347 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.349 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.350 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.350 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.352 * * [progress]: iteration 1 / 4 0.352 * * * [progress]: picking best candidate 0.354 * * * * [pick]: Picked # 0.355 * * * [progress]: localizing error 0.385 * * * [progress]: generating rewritten candidates 0.385 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.399 * * * [progress]: generating series expansions 0.399 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.403 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.404 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.404 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.410 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.410 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.423 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.437 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.437 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.441 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.474 * * * [progress]: simplifying candidates 0.480 * [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)) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) 0.483 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.487 * * [simplify]: iteration 1 : 610 enodes (cost 206 ) 0.499 * * [simplify]: iteration 2 : 2471 enodes (cost 201 ) 0.552 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 0.554 * [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.0 (+ (neg (pow x 2)) (- (pow x 3) x))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.554 * * * [progress]: adding candidates to table 0.612 * * [progress]: iteration 2 / 4 0.612 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.623 * * * [progress]: generating rewritten candidates 0.623 * * * [progress]: generating series expansions 0.623 * * * [progress]: simplifying candidates 0.623 * [simplify]: Simplifying using # : 0.625 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.625 * [simplify]: Simplified to: 0.625 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 3 / 4 0.625 * * * [progress]: picking best candidate 0.627 * * * * [pick]: Picked # 0.627 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.636 * * * [progress]: generating series expansions 0.636 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.636 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.636 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.636 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.641 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.641 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.652 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.666 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.666 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.666 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.669 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.676 * * * [progress]: simplifying candidates 0.676 * [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))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 0.679 * * [simplify]: iteration 0 : 111 enodes (cost 74 ) 0.681 * * [simplify]: iteration 1 : 281 enodes (cost 69 ) 0.687 * * [simplify]: iteration 2 : 983 enodes (cost 68 ) 0.710 * * [simplify]: iteration 3 : 3763 enodes (cost 66 ) 0.830 * * [simplify]: iteration 4 : 5001 enodes (cost 66 ) 0.832 * [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))) (* +nan.0 (- (- (pow x 3) x) (pow x 2))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (/ 0.125 x) (- x 0.5)) 0.832 * * * [progress]: adding candidates to table 0.857 * [progress]: [Phase 3 of 3] Extracting. 0.858 * * [regime]: Finding splitpoints for: (# # #) 0.858 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.859 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 0.878 * * * * [regimes]: Trying to branch on x from (# # #) 0.890 * * * [regime]: Found split indices: #