0.589 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.157 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.166 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.167 * * [simplify]: iteration 0: 6 enodes 0.171 * * [simplify]: iteration 1: 9 enodes 0.173 * * [simplify]: iteration 2: 10 enodes 0.174 * * [simplify]: iteration complete: 10 enodes 0.174 * * [simplify]: Extracting #0: cost 1 inf + 0 0.175 * * [simplify]: Extracting #1: cost 3 inf + 0 0.175 * * [simplify]: Extracting #2: cost 5 inf + 0 0.175 * * [simplify]: Extracting #3: cost 6 inf + 1 0.175 * * [simplify]: Extracting #4: cost 0 inf + 370 0.175 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.177 * * [progress]: iteration 1 / 4 0.177 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.229 * * * [progress]: generating rewritten candidates 0.230 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.431 * * * [progress]: generating series expansions 0.431 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.463 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.463 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.464 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.466 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.466 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.468 * [backup-simplify]: Simplify (sqrt 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.470 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.470 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [backup-simplify]: Simplify 1.0 into 1.0 0.471 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.471 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.472 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.474 * [backup-simplify]: Simplify (sqrt 0) into 0 0.475 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.479 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.484 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.486 * [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))))))) 0.486 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.486 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify (sqrt 1) into 1 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.491 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.494 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.496 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.496 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (sqrt 1) into 1 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.500 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.503 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.505 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify -0.5 into -0.5 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.511 * [backup-simplify]: Simplify -0.125 into -0.125 0.511 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.512 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.512 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.512 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [backup-simplify]: Simplify 1.0 into 1.0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (- 1) into -1 0.513 * [backup-simplify]: Simplify (sqrt 0) into 0 0.514 * [backup-simplify]: Simplify (- 1) into -1 0.516 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [backup-simplify]: Simplify -1 into -1 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ -1 1) into -1 0.517 * [backup-simplify]: Simplify (sqrt 0) into 0 0.518 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.518 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.518 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (- 1) into -1 0.519 * [backup-simplify]: Simplify (sqrt 0) into 0 0.519 * [backup-simplify]: Simplify (- 1) into -1 0.520 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [backup-simplify]: Simplify -1 into -1 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ -1 1) into -1 0.521 * [backup-simplify]: Simplify (sqrt 0) into 0 0.522 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.522 * [backup-simplify]: Simplify (* 0 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.527 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.533 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.536 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.536 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.546 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.547 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.558 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.558 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.559 * [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))))) 0.560 * * * [progress]: simplifying candidates 0.560 * [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))))) 0.561 * * [simplify]: iteration 0: 83 enodes 0.585 * * [simplify]: iteration 1: 190 enodes 0.642 * * [simplify]: iteration 2: 687 enodes 1.726 * * [simplify]: iteration 3: 3837 enodes 3.585 * * [simplify]: iteration complete: 5000 enodes 3.585 * * [simplify]: Extracting #0: cost 22 inf + 0 3.586 * * [simplify]: Extracting #1: cost 307 inf + 0 3.589 * * [simplify]: Extracting #2: cost 1136 inf + 1117 3.597 * * [simplify]: Extracting #3: cost 834 inf + 40891 3.632 * * [simplify]: Extracting #4: cost 350 inf + 105881 3.683 * * [simplify]: Extracting #5: cost 149 inf + 151623 3.745 * * [simplify]: Extracting #6: cost 39 inf + 176646 3.782 * * [simplify]: Extracting #7: cost 18 inf + 183557 3.818 * * [simplify]: Extracting #8: cost 6 inf + 184905 3.858 * * [simplify]: Extracting #9: cost 0 inf + 186423 3.895 * [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)))) (exp (* (sqrt x) (sqrt (- x 1.0)))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (cbrt (* (sqrt x) (sqrt (- x 1.0))))) (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* 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 (- (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (sqrt x)) (* (sqrt (* (- x 1.0) (+ x 1.0))) (sqrt x)) (- (* (* x x) (- (* x +nan.0) +nan.0)) (* x +nan.0)) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.896 * * * [progress]: adding candidates to table 4.048 * * [progress]: iteration 2 / 4 4.048 * * * [progress]: picking best candidate 4.056 * * * * [pick]: Picked # 4.056 * * * [progress]: localizing error 4.062 * * * [progress]: generating rewritten candidates 4.062 * * * [progress]: generating series expansions 4.062 * * * [progress]: simplifying candidates 4.062 * [simplify]: Simplifying: 4.062 * * [simplify]: iteration 0: 0 enodes 4.062 * * [simplify]: iteration complete: 0 enodes 4.062 * * [simplify]: Extracting #0: cost 0 inf + 0 4.062 * [simplify]: Simplified to: 4.062 * * * [progress]: adding candidates to table 4.063 * * [progress]: iteration 3 / 4 4.063 * * * [progress]: picking best candidate 4.065 * * * * [pick]: Picked # 4.066 * * * [progress]: localizing error 4.072 * * * [progress]: generating rewritten candidates 4.072 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.085 * * * [progress]: generating series expansions 4.085 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.085 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 4.086 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 4.086 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 4.086 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of 1.0 in x 4.086 * [backup-simplify]: Simplify 1.0 into 1.0 4.087 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.088 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.088 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 4.089 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (+ 1 0) into 1 4.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 4.092 * [backup-simplify]: Simplify (sqrt 0) into 0 4.094 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.094 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 4.094 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 4.094 * [taylor]: Taking taylor expansion of x in x 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.094 * [taylor]: Taking taylor expansion of x in x 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [taylor]: Taking taylor expansion of 1.0 in x 4.094 * [backup-simplify]: Simplify 1.0 into 1.0 4.094 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.095 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.096 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 1 0) into 1 4.099 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 4.099 * [backup-simplify]: Simplify (sqrt 0) into 0 4.102 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 4.108 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.108 * [backup-simplify]: Simplify (- 0) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 4.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.121 * [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))))))) 4.121 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 4.121 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 4.121 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.121 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.121 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.121 * [taylor]: Taking taylor expansion of x in x 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [taylor]: Taking taylor expansion of 1.0 in x 4.121 * [backup-simplify]: Simplify 1.0 into 1.0 4.122 * [taylor]: Taking taylor expansion of x in x 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [backup-simplify]: Simplify (sqrt 1) into 1 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.124 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.126 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.127 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.127 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.127 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.127 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.127 * [taylor]: Taking taylor expansion of x in x 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.127 * [taylor]: Taking taylor expansion of 1.0 in x 4.127 * [backup-simplify]: Simplify 1.0 into 1.0 4.127 * [taylor]: Taking taylor expansion of x in x 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (+ 1 0) into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [backup-simplify]: Simplify (sqrt 1) into 1 4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.129 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.131 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.132 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify -0.5 into -0.5 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.135 * [backup-simplify]: Simplify -0.125 into -0.125 4.135 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.136 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 4.136 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 4.136 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 4.136 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [taylor]: Taking taylor expansion of 1.0 in x 4.136 * [backup-simplify]: Simplify 1.0 into 1.0 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [backup-simplify]: Simplify (sqrt 1) into 1 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.139 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.139 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.139 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 4.139 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 4.139 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [backup-simplify]: Simplify 1.0 into 1.0 4.140 * [taylor]: Taking taylor expansion of x in x 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (+ 1 0) into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [backup-simplify]: Simplify (sqrt 1) into 1 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.142 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.143 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify 0.5 into 0.5 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.147 * [backup-simplify]: Simplify -0.125 into -0.125 4.147 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 4.147 * * * [progress]: simplifying candidates 4.147 * [simplify]: Simplifying: (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))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (- (+ (* +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) 4.147 * * [simplify]: iteration 0: 51 enodes 4.158 * * [simplify]: iteration 1: 114 enodes 4.204 * * [simplify]: iteration 2: 363 enodes 4.510 * * [simplify]: iteration 3: 1900 enodes 5.266 * * [simplify]: iteration complete: 5000 enodes 5.266 * * [simplify]: Extracting #0: cost 16 inf + 0 5.267 * * [simplify]: Extracting #1: cost 124 inf + 1 5.271 * * [simplify]: Extracting #2: cost 1161 inf + 462 5.283 * * [simplify]: Extracting #3: cost 1260 inf + 53754 5.316 * * [simplify]: Extracting #4: cost 340 inf + 146583 5.390 * * [simplify]: Extracting #5: cost 68 inf + 192930 5.439 * * [simplify]: Extracting #6: cost 24 inf + 197009 5.478 * * [simplify]: Extracting #7: cost 16 inf + 201394 5.549 * * [simplify]: Extracting #8: cost 5 inf + 202489 5.586 * * [simplify]: Extracting #9: cost 0 inf + 203754 5.636 * [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)))) (* (sqrt (* x (- x 1.0))) (* x (- x 1.0))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* x (- (* x (* x x)) (* 1.0 (* 1.0 1.0))))) (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) (* x x)) (* +nan.0 (* x x))) (* +nan.0 x)) (- (- x 0.5) (/ 0.125 x)) (+ (/ 0.125 x) (- 0.5 x)) 5.637 * * * [progress]: adding candidates to table 5.724 * [progress]: [Phase 3 of 3] Extracting. 5.725 * * [regime]: Finding splitpoints for: (# #) 5.726 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.726 * * * * [regimes]: Trying to branch on x from (# #) 5.764 * * * [regime]: Found split indices: #