0.845 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.310 * * * [progress]: [2/2] Setting up program. 0.313 * [progress]: [Phase 2 of 3] Improving. 0.315 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.319 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.320 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.321 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.322 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.323 * * [progress]: iteration 1 / 4 0.323 * * * [progress]: picking best candidate 0.325 * * * * [pick]: Picked # 0.325 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.355 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.356 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.361 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.361 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.383 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.396 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.431 * * * [progress]: simplifying candidates 0.432 * [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)) (- (+ (* +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))))) 0.435 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.439 * * [simplify]: iteration 1 : 610 enodes (cost 206 ) 0.451 * * [simplify]: iteration 2 : 2471 enodes (cost 201 ) 0.503 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 0.505 * [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 (+ (- (pow x 2)) (- (pow x 3) x))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.505 * * * [progress]: adding candidates to table 0.570 * * [progress]: iteration 2 / 4 0.570 * * * [progress]: picking best candidate 0.571 * * * * [pick]: Picked # 0.571 * * * [progress]: localizing error 0.577 * * * [progress]: generating rewritten candidates 0.577 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.585 * * * [progress]: generating series expansions 0.585 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.586 * [approximate]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of 0.5 in x 0.586 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of 0.125 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (- x (+ 0.5 (* 0.125 (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of 0.5 in x 0.586 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of 0.125 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.593 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 x)) in x 0.593 * [taylor]: Taking taylor expansion of 0.5 in x 0.593 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.593 * [taylor]: Taking taylor expansion of 0.125 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ 0.5 (* 0.125 x))) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 x)) in x 0.594 * [taylor]: Taking taylor expansion of 0.5 in x 0.594 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.594 * [taylor]: Taking taylor expansion of 0.125 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.599 * [taylor]: Taking taylor expansion of 0.125 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (+ 0.5 (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of 0.5 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ 0.5 (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.600 * [taylor]: Taking taylor expansion of 0.125 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (+ 0.5 (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of 0.5 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.605 * * * [progress]: simplifying candidates 0.606 * [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)))))) (- (+ 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) (- (+ 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)))) 0.609 * * [simplify]: iteration 0 : 96 enodes (cost 126 ) 0.611 * * [simplify]: iteration 1 : 283 enodes (cost 117 ) 0.616 * * [simplify]: iteration 2 : 1070 enodes (cost 115 ) 0.640 * * [simplify]: iteration 3 : 5001 enodes (cost 110 ) 0.641 * [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)) (- (/ (- 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) (- (/ (- 0.125) x) 0.5) (- (- x (/ 0.125 x)) 0.5) (- (- x (/ 0.125 x)) 0.5) (- (- x (/ 0.125 x)) 0.5) 0.641 * * * [progress]: adding candidates to table 0.671 * [progress]: [Phase 3 of 3] Extracting. 0.671 * * [regime]: Finding splitpoints for: (# #) 0.674 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.674 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# #) 0.692 * * * * [regimes]: Trying to branch on x from (# #) 0.701 * * * [regime]: Found split indices: #