1.258 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.191 * * * [progress]: [2/2] Setting up program. 0.199 * [progress]: [Phase 2 of 3] Improving. 0.203 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.205 * * [simplify]: iteration 0: 6 enodes 0.212 * * [simplify]: iteration 1: 9 enodes 0.215 * * [simplify]: iteration 2: 10 enodes 0.220 * * [simplify]: iteration complete: 10 enodes 0.221 * * [simplify]: Extracting #0: cost 1 inf + 0 0.221 * * [simplify]: Extracting #1: cost 3 inf + 0 0.221 * * [simplify]: Extracting #2: cost 5 inf + 0 0.221 * * [simplify]: Extracting #3: cost 6 inf + 1 0.221 * * [simplify]: Extracting #4: cost 0 inf + 20 0.222 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.272 * * [progress]: iteration 1 / 4 0.272 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.298 * * * [progress]: generating rewritten candidates 0.298 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.348 * * * [progress]: generating series expansions 0.348 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.356 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.356 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.357 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.359 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.360 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.360 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.362 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.362 * [backup-simplify]: Simplify (sqrt 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.364 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.364 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.365 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.365 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.367 * [backup-simplify]: Simplify (sqrt 0) into 0 0.368 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.375 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.380 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 0.380 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.380 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (sqrt 1) into 1 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.384 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.385 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.387 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.399 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.401 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.402 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify -0.5 into -0.5 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.405 * [backup-simplify]: Simplify -0.125 into -0.125 0.406 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.406 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.406 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.406 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [backup-simplify]: Simplify -1 into -1 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ -1 1) into -1 0.409 * [backup-simplify]: Simplify (sqrt 0) into 0 0.409 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.410 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (sqrt 0) into 0 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.412 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.412 * [taylor]: Taking taylor expansion of -1 in x 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ -1 1) into -1 0.412 * [backup-simplify]: Simplify (sqrt 0) into 0 0.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.413 * [backup-simplify]: Simplify (* 0 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.417 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.419 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.422 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.431 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.444 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.445 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.446 * [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))))) 0.446 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying: (* (- 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 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.450 * * [simplify]: iteration 0: 83 enodes 0.475 * * [simplify]: iteration 1: 190 enodes 0.540 * * [simplify]: iteration 2: 687 enodes 1.332 * * [simplify]: iteration 3: 3837 enodes 3.249 * * [simplify]: iteration complete: 5000 enodes 3.249 * * [simplify]: Extracting #0: cost 22 inf + 0 3.250 * * [simplify]: Extracting #1: cost 307 inf + 0 3.252 * * [simplify]: Extracting #2: cost 1136 inf + 57 3.256 * * [simplify]: Extracting #3: cost 834 inf + 2000 3.261 * * [simplify]: Extracting #4: cost 350 inf + 4951 3.266 * * [simplify]: Extracting #5: cost 149 inf + 6794 3.275 * * [simplify]: Extracting #6: cost 39 inf + 7755 3.282 * * [simplify]: Extracting #7: cost 18 inf + 7896 3.287 * * [simplify]: Extracting #8: cost 6 inf + 7940 3.295 * * [simplify]: Extracting #9: cost 0 inf + 7970 3.300 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt x) (sqrt (- x 1.0))) (* x (- x 1.0)) (log (* (sqrt x) (sqrt (- x 1.0)))) (log (* (sqrt x) (sqrt (- x 1.0)))) (pow (exp (sqrt x)) (sqrt (- x 1.0))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (cbrt (* (sqrt x) (sqrt (- x 1.0))))) (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* x (- x 1.0)) (sqrt (* (sqrt x) (sqrt (- x 1.0)))) (sqrt (* (sqrt x) (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 (sqrt (- x 1.0)))) (* (* (cbrt (sqrt x)) (sqrt (- x 1.0))) (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)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (* (- x 1.0) (+ x 1.0))) (sqrt x)) (* +nan.0 (+ (- x) (- (pow x 3) (* x x)))) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.300 * * * [progress]: adding candidates to table 3.454 * * [progress]: iteration 2 / 4 3.454 * * * [progress]: picking best candidate 3.462 * * * * [pick]: Picked # 3.463 * * * [progress]: localizing error 3.475 * * * [progress]: generating rewritten candidates 3.475 * * * [progress]: generating series expansions 3.475 * * * [progress]: simplifying candidates 3.476 * [simplify]: Simplifying: 3.476 * * [simplify]: iteration 0: 0 enodes 3.476 * * [simplify]: iteration complete: 0 enodes 3.476 * * [simplify]: Extracting #0: cost 0 inf + 0 3.476 * [simplify]: Simplified to: 3.476 * * * [progress]: adding candidates to table 3.476 * * [progress]: iteration 3 / 4 3.476 * * * [progress]: picking best candidate 3.481 * * * * [pick]: Picked # 3.481 * * * [progress]: localizing error 3.492 * * * [progress]: generating rewritten candidates 3.492 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.498 * * * [progress]: generating series expansions 3.498 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.498 * [backup-simplify]: Simplify (sqrt (* x (- x 1.0))) into (sqrt (* x (- x 1.0))) 3.498 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.499 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.499 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.499 * [taylor]: Taking taylor expansion of x in x 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.499 * [taylor]: Taking taylor expansion of x in x 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of 1.0 in x 3.499 * [backup-simplify]: Simplify 1.0 into 1.0 3.499 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.500 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.503 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.503 * [backup-simplify]: Simplify (- 0) into 0 3.504 * [backup-simplify]: Simplify (+ 1 0) into 1 3.505 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.505 * [backup-simplify]: Simplify (sqrt 0) into 0 3.506 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.506 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.506 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of 1.0 in x 3.506 * [backup-simplify]: Simplify 1.0 into 1.0 3.507 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.507 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.508 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.508 * [backup-simplify]: Simplify (- 0) into 0 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.510 * [backup-simplify]: Simplify (sqrt 0) into 0 3.511 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.511 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.514 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.514 * [backup-simplify]: Simplify (- 0) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.517 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.518 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 3.518 * [backup-simplify]: Simplify (sqrt (* (/ 1 x) (- (/ 1 x) 1.0))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.518 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.518 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.518 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.518 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.518 * [taylor]: Taking taylor expansion of x in x 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (/ 1 1) into 1 3.519 * [taylor]: Taking taylor expansion of 1.0 in x 3.519 * [backup-simplify]: Simplify 1.0 into 1.0 3.519 * [taylor]: Taking taylor expansion of x in x 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (+ 1 0) into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [backup-simplify]: Simplify (sqrt 1) into 1 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.522 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.525 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.526 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.526 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.526 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.526 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of 1.0 in x 3.527 * [backup-simplify]: Simplify 1.0 into 1.0 3.527 * [taylor]: Taking taylor expansion of x in x 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (+ 1 0) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [backup-simplify]: Simplify (sqrt 1) into 1 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.530 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.533 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.534 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify -0.5 into -0.5 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.540 * [backup-simplify]: Simplify -0.125 into -0.125 3.541 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.541 * [backup-simplify]: Simplify (sqrt (* (/ 1 (- x)) (- (/ 1 (- x)) 1.0))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.541 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.541 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.541 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.541 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.541 * [taylor]: Taking taylor expansion of x in x 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [backup-simplify]: Simplify 1.0 into 1.0 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (+ 1 0) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (sqrt 1) into 1 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.546 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.548 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.548 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.548 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.548 * [taylor]: Taking taylor expansion of x in x 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (/ 1 1) into 1 3.548 * [taylor]: Taking taylor expansion of 1.0 in x 3.548 * [backup-simplify]: Simplify 1.0 into 1.0 3.548 * [taylor]: Taking taylor expansion of x in x 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (+ 1 0) into 1 3.549 * [backup-simplify]: Simplify (/ 1 1) into 1 3.550 * [backup-simplify]: Simplify (sqrt 1) into 1 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.553 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.554 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.555 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify 0.5 into 0.5 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (+ 0 0) into 0 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.560 * [backup-simplify]: Simplify -0.125 into -0.125 3.561 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.561 * * * [progress]: simplifying candidates 3.561 * [simplify]: Simplifying: (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 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.562 * * [simplify]: iteration 0: 51 enodes 3.581 * * [simplify]: iteration 1: 114 enodes 3.640 * * [simplify]: iteration 2: 363 enodes 3.907 * * [simplify]: iteration 3: 1900 enodes 4.601 * * [simplify]: iteration complete: 5000 enodes 4.602 * * [simplify]: Extracting #0: cost 16 inf + 0 4.602 * * [simplify]: Extracting #1: cost 124 inf + 1 4.607 * * [simplify]: Extracting #2: cost 1161 inf + 33 4.617 * * [simplify]: Extracting #3: cost 1260 inf + 2281 4.629 * * [simplify]: Extracting #4: cost 341 inf + 6743 4.641 * * [simplify]: Extracting #5: cost 68 inf + 8639 4.648 * * [simplify]: Extracting #6: cost 24 inf + 8726 4.659 * * [simplify]: Extracting #7: cost 16 inf + 8803 4.665 * * [simplify]: Extracting #8: cost 5 inf + 8842 4.672 * * [simplify]: Extracting #9: cost 0 inf + 8867 4.683 * [simplify]: Simplified to: (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 (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (sqrt (* (* (+ x 1.0) (- x 1.0)) x)) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* +nan.0 (- (- x (- (pow x 3) (* x x))))) (- (- x 0.5) (/ 0.125 x)) (+ (/ 0.125 x) (- 0.5 x)) 4.683 * * * [progress]: adding candidates to table 4.775 * [progress]: [Phase 3 of 3] Extracting. 4.775 * * [regime]: Finding splitpoints for: (# #) 4.776 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.777 * * * * [regimes]: Trying to branch on x from (# #) 4.823 * * * [regime]: Found split indices: #