0.853 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.269 * * * [progress]: [2/2] Setting up program. 0.272 * [progress]: [Phase 2 of 3] Improving. 0.275 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.280 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.282 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.283 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.283 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.301 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.304 * * * [progress]: generating series expansions 0.304 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.309 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.309 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.315 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.315 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.342 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.343 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.360 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.362 * [taylor]: Taking taylor expansion of -1 in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.390 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.390 * [approximate]: Taking taylor expansion of (sqrt (- x 1.0)) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (- x 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- x 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [approximate]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.428 * * * [progress]: simplifying candidates 0.428 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (- x 1.0) x) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0)) (- (+ (* +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))))) (- (+ (* 1/2 (/ x (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 2) (pow (sqrt (- 1.0)) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.431 * * [simplify]: iteration 0 : 141 enodes (cost 90 ) 0.434 * * [simplify]: iteration 1 : 387 enodes (cost 78 ) 0.443 * * [simplify]: iteration 2 : 1526 enodes (cost 71 ) 0.478 * * [simplify]: iteration 3 : 5001 enodes (cost 70 ) 0.479 * [simplify]: Simplified to: (* (- x 1.0) x) (* (- x 1.0) x) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0)) (* +nan.0 (- (- (pow x 3) x) (pow x 2))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (+ (* 1/2 (/ x (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 2) (pow (sqrt (- 1.0)) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.479 * * * [progress]: adding candidates to table 0.516 * * [progress]: iteration 2 / 4 0.516 * * * [progress]: picking best candidate 0.519 * * * * [pick]: Picked # 0.519 * * * [progress]: localizing error 0.524 * * * [progress]: generating rewritten candidates 0.524 * * * [progress]: generating series expansions 0.524 * * * [progress]: simplifying candidates 0.525 * [simplify]: Simplifying using # : 0.527 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.527 * [simplify]: Simplified to: 0.527 * * * [progress]: adding candidates to table 0.527 * * [progress]: iteration 3 / 4 0.527 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.538 * * * [progress]: generating rewritten candidates 0.538 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.541 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.541 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.541 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.541 * [taylor]: Taking taylor expansion of 1/2 in x 0.541 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.541 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.541 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.546 * [taylor]: Taking taylor expansion of 1/2 in x 0.546 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.546 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.546 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.590 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.590 * [taylor]: Taking taylor expansion of 1/2 in x 0.590 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.590 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.591 * [taylor]: Taking taylor expansion of 1/2 in x 0.591 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.615 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.615 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.617 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.617 * [taylor]: Taking taylor expansion of 1/2 in x 0.617 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.617 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 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 x in x 0.638 * * * [progress]: simplifying candidates 0.638 * [simplify]: Simplifying using # : (* (log (* (- x 1.0) x)) 1/2) (pow (- x 1.0) 1/2) (pow x 1/2) (pow x 1/2) (pow (- x 1.0) 1/2) (pow (* (- x 1.0) x) (/ 1/2 2)) (pow (* (- x 1.0) x) (/ 1/2 2)) (- (+ (* 0.125 (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x)))))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (+ (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (pow -1.0 2))) (* 0.5 (* x (exp (* 1/2 (+ (log (- 1.0)) (log x)))))))) (- (pow (/ 1 x) -1) (+ 0.5 (* 0.125 (/ 1 x)))) (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 0.641 * * [simplify]: iteration 0 : 117 enodes (cost 65 ) 0.643 * * [simplify]: iteration 1 : 307 enodes (cost 57 ) 0.650 * * [simplify]: iteration 2 : 1475 enodes (cost 47 ) 0.691 * * [simplify]: iteration 3 : 5001 enodes (cost 47 ) 0.692 * [simplify]: Simplified to: (* (log (* (- x 1.0) x)) 1/2) (pow (- x 1.0) 1/2) (pow x 1/2) (pow x 1/2) (pow (- x 1.0) 1/2) (pow (* (- x 1.0) x) 1/4) (pow (* (- x 1.0) x) 1/4) (+ (* (* (pow x 1/2) (pow (- 1.0) 1/2)) (- (+ (* 0.125 (pow x 2)) 1) (* 0.5 x))) (/ (- (* 1/4 (pow x 2))) (* (/ -1.0 (pow (- 1.0) 1/2)) (/ -1.0 (pow x 1/2))))) (- (- x (* 0.125 (/ 1 x))) 0.5) (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 0.692 * * * [progress]: adding candidates to table 0.712 * [progress]: [Phase 3 of 3] Extracting. 0.712 * * [regime]: Finding splitpoints for: (# #) 0.713 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.713 * * * * [regimes]: Trying to branch on x from (# #) 0.724 * * * [regime]: Found split indices: #