0.856 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.276 * * * [progress]: [2/2] Setting up program. 0.279 * [progress]: [Phase 2 of 3] Improving. 0.281 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.285 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.286 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.287 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.288 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.289 * * [progress]: iteration 1 / 4 0.289 * * * [progress]: picking best candidate 0.291 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.299 * * * [progress]: generating rewritten candidates 0.299 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.307 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.312 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.312 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.312 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.318 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.318 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.331 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.364 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.364 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.396 * * * [progress]: simplifying candidates 0.397 * [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)) (- (+ (* +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))))) 0.399 * * [simplify]: iteration 0 : 109 enodes (cost 40 ) 0.402 * * [simplify]: iteration 1 : 295 enodes (cost 34 ) 0.408 * * [simplify]: iteration 2 : 1286 enodes (cost 30 ) 0.442 * * [simplify]: iteration 3 : 5002 enodes (cost 29 ) 0.443 * [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)) (* +nan.0 (- (- (pow x 3) x) (pow x 2))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.443 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 2 / 4 0.464 * * * [progress]: picking best candidate 0.466 * * * * [pick]: Picked # 0.466 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * [progress]: generating series expansions 0.471 * * * [progress]: simplifying candidates 0.472 * [simplify]: Simplifying using # : 0.474 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.474 * [simplify]: Simplified to: 0.474 * * * [progress]: adding candidates to table 0.474 * * [progress]: iteration 3 / 4 0.474 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.488 * * * [progress]: generating rewritten candidates 0.488 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.491 * * * [progress]: generating series expansions 0.491 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.491 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.491 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.491 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.497 * [taylor]: Taking taylor expansion of 1/2 in x 0.497 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.497 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.497 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.539 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.539 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.539 * [taylor]: Taking taylor expansion of 1/2 in x 0.539 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.540 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [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 0.566 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.566 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.566 * [taylor]: Taking taylor expansion of 1/2 in x 0.566 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.566 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.568 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.568 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.593 * * * [progress]: simplifying candidates 0.594 * [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)))) 0.596 * * [simplify]: iteration 0 : 119 enodes (cost 64 ) 0.599 * * [simplify]: iteration 1 : 327 enodes (cost 56 ) 0.606 * * [simplify]: iteration 2 : 1586 enodes (cost 43 ) 0.649 * * [simplify]: iteration 3 : 5001 enodes (cost 42 ) 0.650 * [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) (fma (* (pow x 1/2) (pow (- 1.0) 1/2)) (- (fma (* 0.125 x) x 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) (fma -1 x (fma 0.125 (/ 1 x) 0.5)) 0.650 * * * [progress]: adding candidates to table 0.668 * [progress]: [Phase 3 of 3] Extracting. 0.668 * * [regime]: Finding splitpoints for: (# #) 0.668 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.669 * * * * [regimes]: Trying to branch on x from (# #) 0.680 * * * [regime]: Found split indices: #