0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.204 * * * [progress]: [2/2] Setting up program. 0.208 * [progress]: [Phase 2 of 3] Improving. 0.208 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.210 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.211 * * [simplify]: iteration 1: (6 enodes) 0.220 * * [simplify]: iteration 2: (24 enodes) 0.224 * * [simplify]: iteration 3: (28 enodes) 0.228 * * [simplify]: iteration 4: (29 enodes) 0.237 * * [simplify]: Extracting #0: cost 1 inf + 0 0.237 * * [simplify]: Extracting #1: cost 4 inf + 0 0.237 * * [simplify]: Extracting #2: cost 8 inf + 0 0.238 * * [simplify]: Extracting #3: cost 10 inf + 1 0.238 * * [simplify]: Extracting #4: cost 5 inf + 128 0.238 * * [simplify]: Extracting #5: cost 1 inf + 495 0.238 * * [simplify]: Extracting #6: cost 0 inf + 657 0.239 * [simplify]: Simplified to: (* (sqrt (+ -1 x)) (sqrt x)) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.396 * * * [progress]: generating rewritten candidates 0.397 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.539 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.554 * * * [progress]: generating series expansions 0.554 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.594 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.594 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.596 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of (- x 1) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (- 1) into -1 0.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.601 * [backup-simplify]: Simplify (* 0 -1) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.604 * [backup-simplify]: Simplify (sqrt 0) into 0 0.606 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.606 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.606 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of (- x 1) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (- 1) into -1 0.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.609 * [backup-simplify]: Simplify (* 0 -1) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 1 0) into 1 0.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.612 * [backup-simplify]: Simplify (sqrt 0) into 0 0.614 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.623 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.632 * [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))))))) 0.633 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.633 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.633 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [taylor]: Taking taylor expansion of 1 in x 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (+ 1 0) into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- 1) into -1 0.638 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.640 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.641 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.642 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [taylor]: Taking taylor expansion of 1 in x 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [backup-simplify]: Simplify (sqrt 1) into 1 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- 1) into -1 0.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.646 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.659 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.659 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify -1/2 into -1/2 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.664 * [backup-simplify]: Simplify -1/8 into -1/8 0.664 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.664 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.664 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.665 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [taylor]: Taking taylor expansion of 1 in x 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (+ 1 0) into 1 0.666 * [backup-simplify]: Simplify (- 1) into -1 0.667 * [backup-simplify]: Simplify (sqrt 0) into 0 0.667 * [backup-simplify]: Simplify (- 1) into -1 0.668 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [backup-simplify]: Simplify -1 into -1 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ -1 1) into -1 0.670 * [backup-simplify]: Simplify (sqrt 0) into 0 0.671 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.671 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.671 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [taylor]: Taking taylor expansion of 1 in x 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.673 * [backup-simplify]: Simplify (sqrt 0) into 0 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.675 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.675 * [backup-simplify]: Simplify -1 into -1 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ -1 1) into -1 0.676 * [backup-simplify]: Simplify (sqrt 0) into 0 0.677 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.678 * [backup-simplify]: Simplify (* 0 0) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ 0 1) into 1 0.684 * [backup-simplify]: Simplify (- 1) into -1 0.686 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.688 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.689 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.706 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.728 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.728 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.729 * [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))))) 0.729 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.729 * [backup-simplify]: Simplify (sqrt (- x 1)) into (sqrt (- x 1)) 0.729 * [approximate]: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.729 * [taylor]: Taking taylor expansion of (- x 1) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of 1 in x 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (- 1) into -1 0.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.731 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.732 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.732 * [taylor]: Taking taylor expansion of (- x 1) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of 1 in x 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (- 1) into -1 0.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.733 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.734 * [backup-simplify]: Simplify (+ 1 0) into 1 0.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.735 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.736 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.740 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.741 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 2)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.742 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) 1)) into (sqrt (- (/ 1 x) 1)) 0.742 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of 1 in x 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (sqrt 0) into 0 0.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.744 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [taylor]: Taking taylor expansion of 1 in x 0.744 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (+ 1 0) into 1 0.745 * [backup-simplify]: Simplify (sqrt 0) into 0 0.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (- 1) into -1 0.747 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.749 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.749 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.752 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.753 * [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))))) 0.753 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) 1)) into (sqrt (- (+ (/ 1 x) 1))) 0.753 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.753 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [taylor]: Taking taylor expansion of 1 in x 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (+ 1 0) into 1 0.754 * [backup-simplify]: Simplify (- 1) into -1 0.754 * [backup-simplify]: Simplify (sqrt 0) into 0 0.754 * [backup-simplify]: Simplify (- 1) into -1 0.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.755 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.755 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (+ 1 0) into 1 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.756 * [backup-simplify]: Simplify (sqrt 0) into 0 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.757 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 1) into 1 0.758 * [backup-simplify]: Simplify (- 1) into -1 0.760 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.760 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.764 * [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))))) 0.764 * * * [progress]: simplifying candidates 0.764 * * * * [progress]: [ 1 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 2 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 3 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 4 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 5 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 6 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 7 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 8 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 9 / 63 ] simplifiying candidate # 0.764 * * * * [progress]: [ 10 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 11 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 12 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 13 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 14 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 15 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 16 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 17 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 18 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 19 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 20 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 21 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 22 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 23 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 24 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 25 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 26 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 27 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 28 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 29 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 30 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 31 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 32 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 33 / 63 ] simplifiying candidate # 0.765 * * * * [progress]: [ 34 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 35 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 36 / 63 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.766 * * * * [progress]: [ 37 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 38 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 39 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 40 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 41 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 42 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 43 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 44 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 45 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 46 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 47 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 48 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 49 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 50 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 51 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 52 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 53 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 54 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 55 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 56 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 57 / 63 ] simplifiying candidate #real (real->posit16 (sqrt (- x 1)))) (sqrt x)))> 0.766 * * * * [progress]: [ 58 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 59 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 60 / 63 ] simplifiying candidate # 0.766 * * * * [progress]: [ 61 / 63 ] simplifiying candidate # 0.767 * * * * [progress]: [ 62 / 63 ] simplifiying candidate # 0.767 * * * * [progress]: [ 63 / 63 ] simplifiying candidate # 0.767 * [simplify]: Simplifying: (* (- x 1) x) (* (sqrt (- x 1)) (sqrt x)) (* (- x 1) x) (+ (log (sqrt (- x 1))) (log (sqrt x))) (log (* (sqrt (- x 1)) (sqrt x))) (exp (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) x) (sqrt (* (sqrt (- x 1)) (sqrt x))) (sqrt (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) 1) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (cbrt (- x 1))) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1))) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1 1))) (sqrt x)) (real->posit16 (* (sqrt (- x 1)) (sqrt x))) (log (sqrt (- x 1))) (exp (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (cbrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt 1) (sqrt (- x 1)) (sqrt (+ (sqrt x) (sqrt 1))) (sqrt (- (sqrt x) (sqrt 1))) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt 1) (sqrt (- x 1)) (sqrt (- (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (- (* x x) (* 1 1))) (sqrt (+ x 1)) (/ 1 2) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (real->posit16 (sqrt (- x 1))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.769 * * [simplify]: iteration 1: (109 enodes) 0.811 * * [simplify]: iteration 2: (419 enodes) 0.896 * * [simplify]: iteration 3: (684 enodes) 1.077 * * [simplify]: iteration 4: (1257 enodes) 1.693 * * [simplify]: Extracting #0: cost 41 inf + 0 1.694 * * [simplify]: Extracting #1: cost 201 inf + 2 1.695 * * [simplify]: Extracting #2: cost 454 inf + 2292 1.700 * * [simplify]: Extracting #3: cost 398 inf + 19928 1.712 * * [simplify]: Extracting #4: cost 154 inf + 58448 1.728 * * [simplify]: Extracting #5: cost 20 inf + 91719 1.751 * * [simplify]: Extracting #6: cost 0 inf + 99605 1.776 * * [simplify]: Extracting #7: cost 0 inf + 99367 1.794 * [simplify]: Simplified to: (- (* x x) x) (* (sqrt (- x 1)) (sqrt x)) (- (* x x) x) (log (* (sqrt (- x 1)) (sqrt x))) (log (* (sqrt (- x 1)) (sqrt x))) (exp (* (sqrt (- x 1)) (sqrt x))) (* (* (sqrt (- x 1)) (* (sqrt x) x)) (- x 1)) (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x))) (* (* (sqrt (- x 1)) (* (sqrt x) x)) (- x 1)) (- (* x x) x) (sqrt (* (sqrt (- x 1)) (sqrt x))) (sqrt (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (- x 1))) (* (sqrt (- x 1)) (fabs (cbrt x))) (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (- x 1)) (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (- x 1)) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt x) (sqrt (- (* (* x x) x) 1))) (* (sqrt (- (* x x) 1)) (sqrt x)) (real->posit16 (* (sqrt (- x 1)) (sqrt x))) (log (sqrt (- x 1))) (exp (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))) (* (sqrt (- x 1)) (- x 1)) (fabs (cbrt (- x 1))) (sqrt (cbrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) 1 (sqrt (- x 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) 1 (sqrt (- x 1)) (sqrt (- (* (* x x) x) 1)) (sqrt (+ (+ 1 x) (* x x))) (sqrt (- (* x x) 1)) (sqrt (+ 1 x)) 1/2 (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (real->posit16 (sqrt (- x 1))) (- (* (* +nan.0 x) (- (* x x) x)) (* +nan.0 x)) (- (/ -1/8 x) (- 1/2 x)) (- (- (/ +nan.0 x) (/ +nan.0 (* x x))) +nan.0) (+ (* (/ (* x x) (sqrt -1)) 1/8) (+ (sqrt -1) (/ (/ x (sqrt -1)) 2))) (- (- (/ +nan.0 x) (/ +nan.0 (* x x))) +nan.0) (- (- (/ +nan.0 x) (/ +nan.0 (* x x))) +nan.0) 1.796 * * * [progress]: adding candidates to table 2.119 * * [progress]: iteration 2 / 4 2.119 * * * [progress]: picking best candidate 2.120 * * * * [pick]: Picked # 2.120 * * * [progress]: localizing error 2.129 * * * [progress]: generating rewritten candidates 2.129 * * * [progress]: generating series expansions 2.129 * * * [progress]: simplifying candidates 2.129 * [simplify]: Simplifying: 2.129 * * [simplify]: iteration 1: (0 enodes) 2.129 * * [simplify]: Extracting #0: cost 0 inf + 0 2.129 * [simplify]: Simplified to: 2.129 * * * [progress]: adding candidates to table 2.129 * [progress]: [Phase 3 of 3] Extracting. 2.130 * * [regime]: Finding splitpoints for: (# #) 2.130 * * * [regime-changes]: Trying 2 branch expressions: (x (* (sqrt (- x 1)) (sqrt x))) 2.131 * * * * [regimes]: Trying to branch on x from (# #) 2.148 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (# #) 2.172 * * * [regime]: Found split indices: #