0.573 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.162 * * * [progress]: [2/2] Setting up program. 0.171 * [progress]: [Phase 2 of 3] Improving. 0.174 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.176 * * [simplify]: iteration 0: 6 enodes 0.183 * * [simplify]: iteration 1: 9 enodes 0.187 * * [simplify]: iteration 2: 10 enodes 0.190 * * [simplify]: iteration complete: 10 enodes 0.191 * * [simplify]: Extracting #0: cost 1 inf + 0 0.191 * * [simplify]: Extracting #1: cost 3 inf + 0 0.191 * * [simplify]: Extracting #2: cost 5 inf + 0 0.192 * * [simplify]: Extracting #3: cost 6 inf + 1 0.192 * * [simplify]: Extracting #4: cost 0 inf + 370 0.192 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.520 * * [progress]: iteration 1 / 4 0.520 * * * [progress]: picking best candidate 0.527 * * * * [pick]: Picked # 0.527 * * * [progress]: localizing error 0.549 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.593 * * * [progress]: generating series expansions 0.593 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.598 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.598 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.599 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.600 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.601 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 1 0) into 1 0.602 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.603 * [backup-simplify]: Simplify (sqrt 0) into 0 0.604 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.604 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.604 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.605 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.605 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 1 0) into 1 0.608 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.609 * [backup-simplify]: Simplify (sqrt 0) into 0 0.610 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.615 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.619 * [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))))))) 0.620 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.620 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.620 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [backup-simplify]: Simplify 1.0 into 1.0 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (+ 1 0) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (sqrt 1) into 1 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.623 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.624 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.634 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.635 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [backup-simplify]: Simplify 1.0 into 1.0 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (+ 1 0) into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.639 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.642 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.643 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify -0.5 into -0.5 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.649 * [backup-simplify]: Simplify -0.125 into -0.125 0.650 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.650 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.650 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.650 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [backup-simplify]: Simplify 1.0 into 1.0 0.651 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (- 1) into -1 0.652 * [backup-simplify]: Simplify (sqrt 0) into 0 0.652 * [backup-simplify]: Simplify (- 1) into -1 0.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.654 * [taylor]: Taking taylor expansion of -1 in x 0.654 * [backup-simplify]: Simplify -1 into -1 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ -1 1) into -1 0.655 * [backup-simplify]: Simplify (sqrt 0) into 0 0.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.656 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.656 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [backup-simplify]: Simplify 1.0 into 1.0 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (- 1) into -1 0.658 * [backup-simplify]: Simplify (sqrt 0) into 0 0.659 * [backup-simplify]: Simplify (- 1) into -1 0.660 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [backup-simplify]: Simplify -1 into -1 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (/ -1 1) into -1 0.661 * [backup-simplify]: Simplify (sqrt 0) into 0 0.662 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.663 * [backup-simplify]: Simplify (* 0 0) into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.669 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.673 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.676 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.676 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.691 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.691 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.709 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.710 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.711 * [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))))) 0.711 * * * [progress]: simplifying candidates 0.713 * [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))))) 0.714 * * [simplify]: iteration 0: 83 enodes 0.748 * * [simplify]: iteration 1: 190 enodes 0.807 * * [simplify]: iteration 2: 489 enodes 1.013 * * [simplify]: iteration 3: 1353 enodes 2.128 * * [simplify]: iteration 4: 4655 enodes 3.339 * * [simplify]: iteration complete: 5002 enodes 3.339 * * [simplify]: Extracting #0: cost 22 inf + 0 3.340 * * [simplify]: Extracting #1: cost 309 inf + 0 3.345 * * [simplify]: Extracting #2: cost 1099 inf + 2840 3.360 * * [simplify]: Extracting #3: cost 1054 inf + 42407 3.383 * * [simplify]: Extracting #4: cost 533 inf + 121784 3.432 * * [simplify]: Extracting #5: cost 139 inf + 208385 3.482 * * [simplify]: Extracting #6: cost 2 inf + 248146 3.560 * * [simplify]: Extracting #7: cost 0 inf + 248843 3.648 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (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)) (cbrt (sqrt x))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (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 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (sqrt x)) (* (sqrt x) (sqrt (* (+ 1.0 x) (- x 1.0)))) (- (* (* +nan.0 x) (- (* x x) x)) (* +nan.0 x)) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.649 * * * [progress]: adding candidates to table 3.827 * * [progress]: iteration 2 / 4 3.827 * * * [progress]: picking best candidate 3.833 * * * * [pick]: Picked # 3.833 * * * [progress]: localizing error 3.839 * * * [progress]: generating rewritten candidates 3.840 * * * [progress]: generating series expansions 3.840 * * * [progress]: simplifying candidates 3.840 * [simplify]: Simplifying: 3.840 * * [simplify]: iteration 0: 0 enodes 3.840 * * [simplify]: iteration complete: 0 enodes 3.840 * * [simplify]: Extracting #0: cost 0 inf + 0 3.840 * [simplify]: Simplified to: 3.840 * * * [progress]: adding candidates to table 3.841 * * [progress]: iteration 3 / 4 3.841 * * * [progress]: picking best candidate 3.844 * * * * [pick]: Picked # 3.844 * * * [progress]: localizing error 3.852 * * * [progress]: generating rewritten candidates 3.852 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.865 * * * [progress]: generating series expansions 3.865 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.865 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.865 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.865 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.865 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [backup-simplify]: Simplify 1.0 into 1.0 3.866 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.867 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.868 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.871 * [backup-simplify]: Simplify (sqrt 0) into 0 3.873 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.873 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.873 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of 1.0 in x 3.873 * [backup-simplify]: Simplify 1.0 into 1.0 3.873 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.874 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.875 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ 1 0) into 1 3.878 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.878 * [backup-simplify]: Simplify (sqrt 0) into 0 3.880 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.885 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.892 * [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))))))) 3.892 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.892 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.892 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.892 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.892 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [taylor]: Taking taylor expansion of 1.0 in x 3.893 * [backup-simplify]: Simplify 1.0 into 1.0 3.893 * [taylor]: Taking taylor expansion of x in x 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (+ 1 0) into 1 3.894 * [backup-simplify]: Simplify (/ 1 1) into 1 3.894 * [backup-simplify]: Simplify (sqrt 1) into 1 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.896 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.898 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.900 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.900 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.900 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.900 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of 1.0 in x 3.901 * [backup-simplify]: Simplify 1.0 into 1.0 3.901 * [taylor]: Taking taylor expansion of x in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (+ 1 0) into 1 3.902 * [backup-simplify]: Simplify (/ 1 1) into 1 3.902 * [backup-simplify]: Simplify (sqrt 1) into 1 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.904 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.906 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.908 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify -0.5 into -0.5 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (- 0) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.914 * [backup-simplify]: Simplify -0.125 into -0.125 3.914 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.915 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.915 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.915 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.915 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.915 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [taylor]: Taking taylor expansion of 1.0 in x 3.915 * [backup-simplify]: Simplify 1.0 into 1.0 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (+ 1 0) into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [backup-simplify]: Simplify (sqrt 1) into 1 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.920 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.921 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.921 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [taylor]: Taking taylor expansion of 1.0 in x 3.922 * [backup-simplify]: Simplify 1.0 into 1.0 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [backup-simplify]: Simplify (sqrt 1) into 1 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.927 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.928 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify 0.5 into 0.5 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.934 * [backup-simplify]: Simplify -0.125 into -0.125 3.934 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.934 * * * [progress]: simplifying candidates 3.935 * [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) 3.936 * * [simplify]: iteration 0: 51 enodes 3.963 * * [simplify]: iteration 1: 114 enodes 4.006 * * [simplify]: iteration 2: 263 enodes 4.117 * * [simplify]: iteration 3: 690 enodes 4.499 * * [simplify]: iteration 4: 2225 enodes 5.881 * * [simplify]: iteration complete: 5001 enodes 5.881 * * [simplify]: Extracting #0: cost 16 inf + 0 5.882 * * [simplify]: Extracting #1: cost 179 inf + 1 5.886 * * [simplify]: Extracting #2: cost 792 inf + 708 5.899 * * [simplify]: Extracting #3: cost 1279 inf + 21202 5.945 * * [simplify]: Extracting #4: cost 608 inf + 117306 5.983 * * [simplify]: Extracting #5: cost 187 inf + 210492 6.049 * * [simplify]: Extracting #6: cost 24 inf + 264473 6.102 * * [simplify]: Extracting #7: cost 16 inf + 269605 6.157 * * [simplify]: Extracting #8: cost 4 inf + 270913 6.226 * * [simplify]: Extracting #9: cost 0 inf + 271925 6.289 * [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 (+ (* 1.0 (+ 1.0 x)) (* x x))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- (* x (- (* x +nan.0) +nan.0)) +nan.0)) (- x (+ (/ 0.125 x) 0.5)) (+ (- 0.5 x) (/ 0.125 x)) 6.290 * * * [progress]: adding candidates to table 6.344 * [progress]: [Phase 3 of 3] Extracting. 6.344 * * [regime]: Finding splitpoints for: (# #) 6.345 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.345 * * * * [regimes]: Trying to branch on x from (# #) 6.391 * * * [regime]: Found split indices: #