0.811 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.279 * * * [progress]: [2/2] Setting up program. 0.282 * [progress]: [Phase 2 of 3] Improving. 0.284 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.287 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.291 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.292 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.293 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.293 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.294 * * [progress]: iteration 1 / 4 0.294 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.327 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.328 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.328 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.333 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.333 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.355 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [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 (/ (- (/ 1 x) 1.0) x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.369 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.369 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.403 * * * [progress]: simplifying candidates 0.404 * [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))))) 0.406 * * [simplify]: iteration 0 : 83 enodes (cost 387 ) 0.422 * * [simplify]: iteration 1 : 182 enodes (cost 354 ) 0.462 * * [simplify]: iteration 2 : 451 enodes (cost 338 ) 0.663 * * [simplify]: iteration 3 : 1082 enodes (cost 335 ) 1.255 * * [simplify]: iteration 4 : 2605 enodes (cost 334 ) 2.160 * * [simplify]: iteration done : 5000 enodes (cost 332 ) 2.161 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (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 (- x 1.0)) (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)) (fabs (cbrt x))) (* (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 3) x) (pow x 2))) (- x (+ 0.5 (/ 0.125 x))) (- (/ (- +nan.0 (/ +nan.0 x)) x) +nan.0) 2.161 * * * [progress]: adding candidates to table 2.229 * * [progress]: iteration 2 / 4 2.229 * * * [progress]: picking best candidate 2.231 * * * * [pick]: Picked # 2.232 * * * [progress]: localizing error 2.236 * * * [progress]: generating rewritten candidates 2.236 * * * [progress]: generating series expansions 2.236 * * * [progress]: simplifying candidates 2.236 * [simplify]: Simplifying using # : 2.237 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.237 * * [simplify]: iteration done : 0 enodes (cost 0 ) 2.237 * [simplify]: Simplified to: 2.237 * * * [progress]: adding candidates to table 2.237 * * [progress]: iteration 3 / 4 2.237 * * * [progress]: picking best candidate 2.239 * * * * [pick]: Picked # 2.239 * * * [progress]: localizing error 2.247 * * * [progress]: generating rewritten candidates 2.247 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.255 * * * [progress]: generating series expansions 2.255 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.255 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in (x) around 0 2.255 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 2.255 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 2.255 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 2.255 * [taylor]: Taking taylor expansion of 1/2 in x 2.255 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 2.255 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.255 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 2.261 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 2.261 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 2.261 * [taylor]: Taking taylor expansion of 1/2 in x 2.261 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 2.261 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.261 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of 1.0 in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.301 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in (x) around 0 2.301 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 2.301 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 2.301 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 2.301 * [taylor]: Taking taylor expansion of 1/2 in x 2.301 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 2.301 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.301 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 2.303 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 2.303 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 2.303 * [taylor]: Taking taylor expansion of 1/2 in x 2.303 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 2.303 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.303 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of 1.0 in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.327 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in (x) around 0 2.327 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 2.327 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 2.327 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 2.327 * [taylor]: Taking taylor expansion of 1/2 in x 2.327 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 2.327 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.327 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.327 * [taylor]: Taking taylor expansion of 1.0 in x 2.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 2.329 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 2.329 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 2.329 * [taylor]: Taking taylor expansion of 1/2 in x 2.329 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 2.329 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.329 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.329 * [taylor]: Taking taylor expansion of 1.0 in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.353 * * * [progress]: simplifying candidates 2.354 * [simplify]: Simplifying using # : (* (+ (log x) (log (- x 1.0))) 1/2) (* (log (* x (- x 1.0))) 1/2) (* (log (* x (- x 1.0))) 1/2) (* 1 1/2) (* 1 1/2) (pow (* x (- x 1.0)) (* (cbrt 1/2) (cbrt 1/2))) (pow (* x (- x 1.0)) (sqrt 1/2)) (pow (* x (- x 1.0)) 1) (pow x 1/2) (pow (- x 1.0) 1/2) (log (pow (* x (- x 1.0)) 1/2)) (exp (pow (* x (- x 1.0)) 1/2)) (* (cbrt (pow (* x (- x 1.0)) 1/2)) (cbrt (pow (* x (- x 1.0)) 1/2))) (cbrt (pow (* x (- x 1.0)) 1/2)) (* (* (pow (* x (- x 1.0)) 1/2) (pow (* x (- x 1.0)) 1/2)) (pow (* x (- x 1.0)) 1/2)) (sqrt (pow (* x (- x 1.0)) 1/2)) (sqrt (pow (* x (- x 1.0)) 1/2)) (pow (* x (- x 1.0)) (/ 1/2 2)) (pow (* x (- x 1.0)) (/ 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)))) 2.356 * * [simplify]: iteration 0 : 62 enodes (cost 248 ) 2.369 * * [simplify]: iteration 1 : 151 enodes (cost 214 ) 2.403 * * [simplify]: iteration 2 : 351 enodes (cost 192 ) 2.524 * * [simplify]: iteration 3 : 1136 enodes (cost 176 ) 3.031 * * [simplify]: iteration done : 5001 enodes (cost 172 ) 3.032 * [simplify]: Simplified to: (log (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) 1/2 1/2 (pow (* x (- x 1.0)) (* (cbrt 1/2) (cbrt 1/2))) (pow (* x (- x 1.0)) (sqrt 1/2)) (* x (- x 1.0)) (sqrt x) (sqrt (- x 1.0)) (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 (* x (- x 1.0)) 3/2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (pow (* (- x 1.0) x) 1/4) (pow (* (- x 1.0) x) 1/4) (- (* (pow (- 1.0) 1/2) (- (sqrt x) (* (sqrt x) (* 0.5 x)))) (* (* (* (pow (- 1.0) 1/2) (sqrt x)) (pow x 2)) (- (/ 1/4 (pow -1.0 2)) 0.125))) (- (- x 0.5) (/ 0.125 x)) (- (+ 0.5 (/ 0.125 x)) x) 3.032 * * * [progress]: adding candidates to table 3.063 * [progress]: [Phase 3 of 3] Extracting. 3.064 * * [regime]: Finding splitpoints for: (# #) 3.065 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.065 * * * * [regimes]: Trying to branch on x from (# #) 3.079 * * * [regime]: Found split indices: #