0.883 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.149 * * * [progress]: [2/2] Setting up program. 0.210 * [progress]: [Phase 2 of 3] Improving. 0.212 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.213 * * [simplify]: Extracting # 0 : cost 0 0.214 * * [simplify]: Extracting # 1 : cost 0 0.214 * * [simplify]: Extracting # 2 : cost 0 0.214 * * [simplify]: Extracting # 3 : cost 0 0.214 * * [simplify]: Extracting # 4 : cost 0 0.214 * * [simplify]: Extracting # 5 : cost 0 0.214 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.220 * * [simplify]: Extracting # 2 : cost 0 0.220 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.222 * * [simplify]: Extracting # 0 : cost 0 0.222 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.224 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.226 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.240 * * * [progress]: generating rewritten candidates 0.240 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.273 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.278 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x)) 0.278 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.279 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.279 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.291 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.291 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.293 * [backup-simplify]: Simplify (sqrt 0) into 0 0.295 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.295 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.295 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.295 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.296 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.296 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.298 * [backup-simplify]: Simplify (sqrt 0) into 0 0.299 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.304 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.309 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 0.310 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.310 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.315 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.317 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.319 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.319 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (sqrt 1) into 1 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.323 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.325 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.326 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify -0.5 into -0.5 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.332 * [backup-simplify]: Simplify -0.125 into -0.125 0.333 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.333 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 0.333 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (sqrt 0) into 0 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.337 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.337 * [taylor]: Taking taylor expansion of -1 in x 0.337 * [backup-simplify]: Simplify -1 into -1 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ -1 1) into -1 0.337 * [backup-simplify]: Simplify (sqrt 0) into 0 0.338 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.338 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.338 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [backup-simplify]: Simplify 1.0 into 1.0 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ 0 1) into 1 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (sqrt 0) into 0 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [backup-simplify]: Simplify -1 into -1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ -1 1) into -1 0.341 * [backup-simplify]: Simplify (sqrt 0) into 0 0.342 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.342 * [backup-simplify]: Simplify (* 0 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.346 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.348 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.359 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.369 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.370 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.371 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.371 * * * [progress]: simplifying candidates 0.372 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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))))) 0.372 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.373 * * [simplify]: Extracting # 2 : cost 0 0.373 * * [simplify]: Extracting # 3 : cost 0 0.373 * * [simplify]: Extracting # 4 : cost 0 0.373 * * [simplify]: Extracting # 5 : cost 0 0.373 * * [simplify]: Extracting # 6 : cost 0 0.374 * * [simplify]: Extracting # 7 : cost 0 0.374 * * [simplify]: Extracting # 8 : cost 0 0.374 * * [simplify]: Extracting # 9 : cost 0 0.374 * * [simplify]: iteration 0 : 85 enodes (cost 403 ) 0.422 * * [simplify]: Extracting # 0 : cost 0 0.422 * * [simplify]: Extracting # 1 : cost 0 0.423 * * [simplify]: Extracting # 2 : cost 0 0.423 * * [simplify]: Extracting # 3 : cost 0 0.424 * * [simplify]: Extracting # 4 : cost 0 0.424 * * [simplify]: iteration 1 : 197 enodes (cost 376 ) 0.571 * * [simplify]: Extracting # 0 : cost 0 0.573 * * [simplify]: Extracting # 1 : cost 0 0.574 * * [simplify]: Extracting # 2 : cost 0 0.575 * * [simplify]: Extracting # 3 : cost 0 0.577 * * [simplify]: Extracting # 4 : cost 0 0.578 * * [simplify]: iteration 2 : 689 enodes (cost 356 ) 2.017 * * [simplify]: Extracting # 0 : cost 0 2.024 * * [simplify]: Extracting # 1 : cost 0 2.033 * * [simplify]: Extracting # 2 : cost 0 2.041 * * [simplify]: Extracting # 3 : cost 0 2.052 * * [simplify]: Extracting # 4 : cost 0 2.059 * * [simplify]: iteration 3 : 3842 enodes (cost 351 ) 3.324 * * [simplify]: Extracting # 0 : cost 0 3.329 * * [simplify]: Extracting # 1 : cost 0 3.335 * * [simplify]: Extracting # 2 : cost 0 3.340 * * [simplify]: Extracting # 3 : cost 0 3.350 * * [simplify]: iteration done: 5000 enodes (cost 350 ) 3.351 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* 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 (fma x (- x) (- (pow x 3) x))) (- x (+ (/ 0.125 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 3.351 * * * [progress]: adding candidates to table 3.505 * * [progress]: iteration 2 / 4 3.505 * * * [progress]: picking best candidate 3.511 * * * * [pick]: Picked # 3.512 * * * [progress]: localizing error 3.519 * * * [progress]: generating rewritten candidates 3.519 * * * [progress]: generating series expansions 3.519 * * * [progress]: simplifying candidates 3.519 * [simplify]: Simplifying: 3.519 * * [simplify]: Extracting # 0 : cost 0 3.519 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.519 * * [simplify]: Extracting # 0 : cost 0 3.519 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.519 * [simplify]: Simplified to: 3.519 * * * [progress]: adding candidates to table 3.520 * * [progress]: iteration 3 / 4 3.520 * * * [progress]: picking best candidate 3.524 * * * * [pick]: Picked # 3.524 * * * [progress]: localizing error 3.538 * * * [progress]: generating rewritten candidates 3.538 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.562 * * * [progress]: generating series expansions 3.562 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.562 * [backup-simplify]: Simplify (sqrt (* x (- x 1.0))) into (sqrt (* (- x 1.0) x)) 3.562 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 3.562 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 3.562 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 3.562 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [backup-simplify]: Simplify 1.0 into 1.0 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.563 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.564 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 1 0) into 1 3.565 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 3.566 * [backup-simplify]: Simplify (sqrt 0) into 0 3.567 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.567 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 3.567 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 3.567 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of 1.0 in x 3.567 * [backup-simplify]: Simplify 1.0 into 1.0 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.568 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.568 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 3.568 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify (+ 1 0) into 1 3.570 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 3.570 * [backup-simplify]: Simplify (sqrt 0) into 0 3.571 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.571 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 3.574 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.575 * [backup-simplify]: Simplify (- 0) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.578 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 3.578 * [backup-simplify]: Simplify (sqrt (* (/ 1 x) (- (/ 1 x) 1.0))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.578 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.578 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.578 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.578 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.579 * [taylor]: Taking taylor expansion of 1.0 in x 3.579 * [backup-simplify]: Simplify 1.0 into 1.0 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.579 * [backup-simplify]: Simplify (sqrt 1) into 1 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.581 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.582 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.583 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.583 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.583 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (/ 1 1) into 1 3.583 * [taylor]: Taking taylor expansion of 1.0 in x 3.583 * [backup-simplify]: Simplify 1.0 into 1.0 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (+ 1 0) into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [backup-simplify]: Simplify (sqrt 1) into 1 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.586 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.588 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.590 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify -0.5 into -0.5 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (- 0) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.596 * [backup-simplify]: Simplify -0.125 into -0.125 3.596 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 3.597 * [backup-simplify]: Simplify (sqrt (* (/ 1 (- x)) (- (/ 1 (- x)) 1.0))) into (sqrt (/ (+ 1.0 (/ 1 x)) x)) 3.597 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 3.597 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.597 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.597 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.597 * [backup-simplify]: Simplify 1.0 into 1.0 3.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.597 * [taylor]: Taking taylor expansion of x in x 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (/ 1 1) into 1 3.597 * [taylor]: Taking taylor expansion of x in x 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (+ 0 1) into 1 3.598 * [backup-simplify]: Simplify (/ 1 1) into 1 3.599 * [backup-simplify]: Simplify (sqrt 1) into 1 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.601 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.602 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.602 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.602 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.602 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.602 * [taylor]: Taking taylor expansion of 1.0 in x 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.602 * [taylor]: Taking taylor expansion of x in x 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [taylor]: Taking taylor expansion of x in x 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (+ 0 1) into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.603 * [backup-simplify]: Simplify (sqrt 1) into 1 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.605 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.606 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify 0.5 into 0.5 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.614 * [backup-simplify]: Simplify -0.125 into -0.125 3.614 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x) 3.614 * * * [progress]: simplifying candidates 3.614 * [simplify]: Simplifying: (expm1 (sqrt (* x (- x 1.0)))) (log1p (sqrt (* x (- x 1.0)))) (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (* (* (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0)))) (sqrt (* x (- x 1.0)))) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 3.615 * * [simplify]: Extracting # 0 : cost 0 3.615 * * [simplify]: Extracting # 1 : cost 0 3.615 * * [simplify]: Extracting # 2 : cost 0 3.615 * * [simplify]: Extracting # 3 : cost 0 3.615 * * [simplify]: Extracting # 4 : cost 0 3.615 * * [simplify]: Extracting # 5 : cost 0 3.615 * * [simplify]: Extracting # 6 : cost 0 3.615 * * [simplify]: Extracting # 7 : cost 0 3.615 * * [simplify]: iteration 0 : 53 enodes (cost 168 ) 3.626 * * [simplify]: Extracting # 0 : cost 0 3.627 * * [simplify]: Extracting # 1 : cost 0 3.627 * * [simplify]: Extracting # 2 : cost 0 3.627 * * [simplify]: Extracting # 3 : cost 0 3.627 * * [simplify]: Extracting # 4 : cost 0 3.627 * * [simplify]: iteration 1 : 120 enodes (cost 151 ) 3.667 * * [simplify]: Extracting # 0 : cost 0 3.668 * * [simplify]: Extracting # 1 : cost 0 3.668 * * [simplify]: Extracting # 2 : cost 0 3.669 * * [simplify]: Extracting # 3 : cost 0 3.670 * * [simplify]: iteration 2 : 391 enodes (cost 141 ) 4.154 * * [simplify]: Extracting # 0 : cost 0 4.158 * * [simplify]: Extracting # 1 : cost 0 4.163 * * [simplify]: Extracting # 2 : cost 0 4.167 * * [simplify]: Extracting # 3 : cost 0 4.176 * * [simplify]: Extracting # 4 : cost 0 4.181 * * [simplify]: iteration 3 : 2085 enodes (cost 139 ) 5.140 * * [simplify]: Extracting # 0 : cost 0 5.158 * * [simplify]: Extracting # 1 : cost 0 5.166 * * [simplify]: Extracting # 2 : cost 0 5.171 * * [simplify]: iteration done: 5001 enodes (cost 138 ) 5.172 * [simplify]: Simplified to: (expm1 (sqrt (* x (- x 1.0)))) (log1p (sqrt (* x (- x 1.0)))) (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (pow (sqrt (* x (- x 1.0))) 3) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (fma x x (* 1.0 (+ x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* +nan.0 (fma (- x) x (- (pow x 3) x))) (- (- x 0.5) (/ 0.125 x)) (- (+ 0.5 (/ 0.125 x)) x) 5.172 * * * [progress]: adding candidates to table 5.255 * [progress]: [Phase 3 of 3] Extracting. 5.255 * * [regime]: Finding splitpoints for: (# #) 5.257 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.257 * * * * [regimes]: Trying to branch on x from (# #) 5.298 * * * [regime]: Found split indices: #