0.860 * [progress]: [Phase 1 of 3] Setting up. 0.007 * * * [progress]: [1/2] Preparing points 0.459 * * * [progress]: [2/2] Setting up program. 0.463 * [progress]: [Phase 2 of 3] Improving. 0.463 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.466 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.467 * * [simplify]: iteration 1: (6 enodes) 0.474 * * [simplify]: iteration 2: (10 enodes) 0.477 * * [simplify]: iteration 3: (11 enodes) 0.479 * * [simplify]: Extracting #0: cost 1 inf + 0 0.479 * * [simplify]: Extracting #1: cost 3 inf + 0 0.479 * * [simplify]: Extracting #2: cost 5 inf + 0 0.480 * * [simplify]: Extracting #3: cost 6 inf + 1 0.480 * * [simplify]: Extracting #4: cost 0 inf + 330 0.480 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.487 * * [progress]: iteration 1 / 4 0.487 * * * [progress]: picking best candidate 0.492 * * * * [pick]: Picked # 0.492 * * * [progress]: localizing error 0.519 * * * [progress]: generating rewritten candidates 0.519 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.563 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.563 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.566 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (- x 1) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of 1 in x 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (- 1) into -1 0.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.579 * [backup-simplify]: Simplify (* 0 -1) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 1 0) into 1 0.581 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.581 * [backup-simplify]: Simplify (sqrt 0) into 0 0.582 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.582 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.582 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of (- x 1) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of 1 in x 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (- 1) into -1 0.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.584 * [backup-simplify]: Simplify (* 0 -1) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 1 0) into 1 0.585 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.586 * [backup-simplify]: Simplify (sqrt 0) into 0 0.586 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.591 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.595 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.596 * [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))))))) 0.597 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.597 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (+ 1 0) into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [backup-simplify]: Simplify (sqrt 1) into 1 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- 1) into -1 0.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.601 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.601 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.601 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of 1 in x 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [backup-simplify]: Simplify (sqrt 1) into 1 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- 1) into -1 0.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.605 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.606 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify -1/2 into -1/2 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.608 * [backup-simplify]: Simplify -1/8 into -1/8 0.608 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.608 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.608 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.608 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [taylor]: Taking taylor expansion of 1 in x 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (+ 1 0) into 1 0.609 * [backup-simplify]: Simplify (- 1) into -1 0.610 * [backup-simplify]: Simplify (sqrt 0) into 0 0.610 * [backup-simplify]: Simplify (- 1) into -1 0.611 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (/ -1 1) into -1 0.611 * [backup-simplify]: Simplify (sqrt 0) into 0 0.612 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.612 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.612 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of 1 in x 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (+ 1 0) into 1 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify (sqrt 0) into 0 0.614 * [backup-simplify]: Simplify (- 1) into -1 0.614 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [backup-simplify]: Simplify -1 into -1 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ -1 1) into -1 0.615 * [backup-simplify]: Simplify (sqrt 0) into 0 0.616 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.616 * [backup-simplify]: Simplify (* 0 0) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ 0 1) into 1 0.620 * [backup-simplify]: Simplify (- 1) into -1 0.622 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.623 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.632 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.633 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.643 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.644 * [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))))) 0.645 * * * [progress]: simplifying candidates 0.645 * * * * [progress]: [ 1 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 2 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 3 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 4 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 5 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 6 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 7 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 8 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 9 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 10 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 11 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 12 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 13 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 14 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 15 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 16 / 42 ] simplifiying candidate # 0.645 * * * * [progress]: [ 17 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 18 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 19 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 20 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 21 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 22 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 23 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 24 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 25 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 26 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 27 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 28 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 29 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 30 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 31 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 32 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 33 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 34 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 35 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 36 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 37 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.646 * * * * [progress]: [ 39 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 40 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 41 / 42 ] simplifiying candidate # 0.646 * * * * [progress]: [ 42 / 42 ] simplifiying candidate # 0.647 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1)) (sqrt x))) (log1p (* (sqrt (- x 1)) (sqrt x))) (* (- 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))) (- (+ (* +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))))) 0.648 * * [simplify]: iteration 1: (87 enodes) 0.681 * * [simplify]: iteration 2: (192 enodes) 0.738 * * [simplify]: iteration 3: (413 enodes) 0.884 * * [simplify]: iteration 4: (969 enodes) 2.135 * * [simplify]: Extracting #0: cost 25 inf + 0 2.135 * * [simplify]: Extracting #1: cost 149 inf + 0 2.139 * * [simplify]: Extracting #2: cost 354 inf + 1158 2.151 * * [simplify]: Extracting #3: cost 221 inf + 22476 2.169 * * [simplify]: Extracting #4: cost 62 inf + 50207 2.187 * * [simplify]: Extracting #5: cost 15 inf + 66250 2.212 * * [simplify]: Extracting #6: cost 0 inf + 71428 2.243 * [simplify]: Simplified to: (expm1 (* (sqrt x) (sqrt (- x 1)))) (log1p (* (sqrt x) (sqrt (- x 1)))) (* x (- x 1)) (* (sqrt x) (sqrt (- x 1))) (* x (- x 1)) (log (* (sqrt x) (sqrt (- x 1)))) (log (* (sqrt x) (sqrt (- x 1)))) (exp (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* x (sqrt x))) (* (cbrt (* (sqrt x) (sqrt (- x 1)))) (cbrt (* (sqrt x) (sqrt (- x 1))))) (cbrt (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* x (sqrt x))) (* x (- x 1)) (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))) (* (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)))) (* (fabs (cbrt x)) (sqrt (- x 1))) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (- x 1)))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt (fma (* x x) x -1)) (sqrt x)) (* (sqrt x) (sqrt (fma x x -1))) (real->posit16 (* (sqrt x) (sqrt (- x 1)))) (- (* (* x +nan.0) (- (* x x) x)) (* x +nan.0)) (+ (+ -1/2 x) (/ -1/8 x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 2.246 * * * [progress]: adding candidates to table 2.573 * * [progress]: iteration 2 / 4 2.573 * * * [progress]: picking best candidate 2.579 * * * * [pick]: Picked # 2.579 * * * [progress]: localizing error 2.597 * * * [progress]: generating rewritten candidates 2.597 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.642 * * * [progress]: generating series expansions 2.642 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.642 * [backup-simplify]: Simplify (+ (+ -1/2 x) (/ -1/8 x)) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.642 * [approximate]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 2.642 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 2.642 * [taylor]: Taking taylor expansion of x in x 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 2.642 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 2.642 * [taylor]: Taking taylor expansion of 1/8 in x 2.642 * [backup-simplify]: Simplify 1/8 into 1/8 2.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.642 * [taylor]: Taking taylor expansion of x in x 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [taylor]: Taking taylor expansion of 1/2 in x 2.643 * [backup-simplify]: Simplify 1/2 into 1/2 2.643 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 2.643 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 2.643 * [taylor]: Taking taylor expansion of 1/8 in x 2.643 * [backup-simplify]: Simplify 1/8 into 1/8 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [taylor]: Taking taylor expansion of 1/2 in x 2.644 * [backup-simplify]: Simplify 1/2 into 1/2 2.645 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 2.645 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 2.645 * [backup-simplify]: Simplify (- 1/8) into -1/8 2.646 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 2.646 * [backup-simplify]: Simplify -1/8 into -1/8 2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.648 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.649 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.649 * [backup-simplify]: Simplify -1/2 into -1/2 2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.652 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify (+ 1 0) into 1 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.653 * [backup-simplify]: Simplify (+ (+ -1/2 (/ 1 x)) (/ -1/8 (/ 1 x))) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 2.653 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 2.653 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 2.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.654 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 2.654 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 2.654 * [taylor]: Taking taylor expansion of 1/8 in x 2.654 * [backup-simplify]: Simplify 1/8 into 1/8 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [taylor]: Taking taylor expansion of 1/2 in x 2.654 * [backup-simplify]: Simplify 1/2 into 1/2 2.654 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 2.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (/ 1 1) into 1 2.654 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 2.654 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 2.654 * [taylor]: Taking taylor expansion of 1/8 in x 2.654 * [backup-simplify]: Simplify 1/8 into 1/8 2.655 * [taylor]: Taking taylor expansion of x in x 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [taylor]: Taking taylor expansion of 1/2 in x 2.655 * [backup-simplify]: Simplify 1/2 into 1/2 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.655 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (* 1/8 0) into 0 2.657 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.657 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.658 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.658 * [backup-simplify]: Simplify -1/2 into -1/2 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 2.660 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 2.661 * [backup-simplify]: Simplify (- 1/8) into -1/8 2.661 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 2.661 * [backup-simplify]: Simplify -1/8 into -1/8 2.661 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.662 * [backup-simplify]: Simplify (+ (+ -1/2 (/ 1 (- x))) (/ -1/8 (/ 1 (- x)))) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 2.662 * [approximate]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 2.662 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 2.662 * [taylor]: Taking taylor expansion of 1/8 in x 2.662 * [backup-simplify]: Simplify 1/8 into 1/8 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [taylor]: Taking taylor expansion of 1/2 in x 2.663 * [backup-simplify]: Simplify 1/2 into 1/2 2.663 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 2.663 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 2.663 * [taylor]: Taking taylor expansion of 1/8 in x 2.663 * [backup-simplify]: Simplify 1/8 into 1/8 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [taylor]: Taking taylor expansion of 1/2 in x 2.663 * [backup-simplify]: Simplify 1/2 into 1/2 2.664 * [backup-simplify]: Simplify (+ 1 0) into 1 2.664 * [backup-simplify]: Simplify (- 1) into -1 2.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.665 * [backup-simplify]: Simplify -1 into -1 2.665 * [backup-simplify]: Simplify (* 1/8 0) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.667 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.667 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.667 * [backup-simplify]: Simplify -1/2 into -1/2 2.668 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 2.670 * [backup-simplify]: Simplify 1/8 into 1/8 2.671 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.671 * * * [progress]: simplifying candidates 2.671 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 2.671 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #real (real->posit16 (+ (+ -1/2 x) (/ -1/8 x)))))> 2.672 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 2.672 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 2.673 * [simplify]: Simplifying: (expm1 (+ (+ -1/2 x) (/ -1/8 x))) (log1p (+ (+ -1/2 x) (/ -1/8 x))) (* (* (exp -1/2) (exp x)) (exp (/ -1/8 x))) (* (exp (+ -1/2 x)) (exp (/ -1/8 x))) (log (+ (+ -1/2 x) (/ -1/8 x))) (exp (+ (+ -1/2 x) (/ -1/8 x))) (* (cbrt (+ (+ -1/2 x) (/ -1/8 x))) (cbrt (+ (+ -1/2 x) (/ -1/8 x)))) (cbrt (+ (+ -1/2 x) (/ -1/8 x))) (* (* (+ (+ -1/2 x) (/ -1/8 x)) (+ (+ -1/2 x) (/ -1/8 x))) (+ (+ -1/2 x) (/ -1/8 x))) (sqrt (+ (+ -1/2 x) (/ -1/8 x))) (sqrt (+ (+ -1/2 x) (/ -1/8 x))) (+ (* (+ (pow -1/2 3) (pow x 3)) x) (* (+ (* -1/2 -1/2) (- (* x x) (* -1/2 x))) -1/8)) (* (+ (* -1/2 -1/2) (- (* x x) (* -1/2 x))) x) (+ (* (- (* -1/2 -1/2) (* x x)) x) (* (- -1/2 x) -1/8)) (* (- -1/2 x) x) (+ (pow (+ -1/2 x) 3) (pow (/ -1/8 x) 3)) (+ (* (+ -1/2 x) (+ -1/2 x)) (- (* (/ -1/8 x) (/ -1/8 x)) (* (+ -1/2 x) (/ -1/8 x)))) (- (* (+ -1/2 x) (+ -1/2 x)) (* (/ -1/8 x) (/ -1/8 x))) (- (+ -1/2 x) (/ -1/8 x)) (+ (+ -1/2 x) (/ -1/8 x)) (+ (+ -1/2 x) (/ -1/8 x)) (+ x (/ -1/8 x)) (real->posit16 (+ (+ -1/2 x) (/ -1/8 x))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.674 * * [simplify]: iteration 1: (60 enodes) 2.707 * * [simplify]: iteration 2: (171 enodes) 2.813 * * [simplify]: iteration 3: (490 enodes) 3.218 * * [simplify]: Extracting #0: cost 19 inf + 0 3.219 * * [simplify]: Extracting #1: cost 204 inf + 0 3.223 * * [simplify]: Extracting #2: cost 644 inf + 2346 3.245 * * [simplify]: Extracting #3: cost 391 inf + 54162 3.298 * * [simplify]: Extracting #4: cost 30 inf + 126031 3.352 * * [simplify]: Extracting #5: cost 2 inf + 130594 3.404 * * [simplify]: Extracting #6: cost 0 inf + 131019 3.433 * [simplify]: Simplified to: (expm1 (- x (+ (/ 1/8 x) 1/2))) (log1p (- x (+ (/ 1/8 x) 1/2))) (exp (- x (+ (/ 1/8 x) 1/2))) (exp (- x (+ (/ 1/8 x) 1/2))) (log (- x (+ (/ 1/8 x) 1/2))) (exp (- x (+ (/ 1/8 x) 1/2))) (* (cbrt (- x (+ (/ 1/8 x) 1/2))) (cbrt (- x (+ (/ 1/8 x) 1/2)))) (cbrt (- x (+ (/ 1/8 x) 1/2))) (* (- x (+ (/ 1/8 x) 1/2)) (* (- x (+ (/ 1/8 x) 1/2)) (- x (+ (/ 1/8 x) 1/2)))) (sqrt (- x (+ (/ 1/8 x) 1/2))) (sqrt (- x (+ (/ 1/8 x) 1/2))) (fma x (fma (* x x) x -1/8) (* -1/8 (fma x (+ 1/2 x) 1/4))) (* (fma x (+ 1/2 x) 1/4) x) (* (- -1/2 x) (+ (* (+ x -1/2) x) -1/8)) (* (- -1/2 x) x) (fma (+ x -1/2) (* (+ x -1/2) (+ x -1/2)) (/ (/ -1/512 (* x x)) x)) (fma (+ x -1/2) (+ x -1/2) (* (/ -1/8 x) (- (/ -1/8 x) (+ x -1/2)))) (fma (+ x -1/2) (+ x -1/2) (/ (/ -1/64 x) x)) (+ (/ 1/8 x) (+ x -1/2)) (- x (+ (/ 1/8 x) 1/2)) (- x (+ (/ 1/8 x) 1/2)) (- x (/ 1/8 x)) (real->posit16 (- x (+ (/ 1/8 x) 1/2))) (- x (+ (/ 1/8 x) 1/2)) (- x (+ (/ 1/8 x) 1/2)) (- x (+ (/ 1/8 x) 1/2)) 3.434 * * * [progress]: adding candidates to table 3.566 * * [progress]: iteration 3 / 4 3.566 * * * [progress]: picking best candidate 3.570 * * * * [pick]: Picked # 3.570 * * * [progress]: localizing error 3.585 * * * [progress]: generating rewritten candidates 3.585 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.595 * * * [progress]: generating series expansions 3.595 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.595 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 3.595 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 3.595 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 3.595 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [taylor]: Taking taylor expansion of (- x 1) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [taylor]: Taking taylor expansion of 1 in x 3.595 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (- 1) into -1 3.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.597 * [backup-simplify]: Simplify (* 0 -1) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify (+ 1 0) into 1 3.598 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.598 * [backup-simplify]: Simplify (sqrt 0) into 0 3.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.599 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 3.599 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 3.599 * [taylor]: Taking taylor expansion of x in x 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (- x 1) in x 3.599 * [taylor]: Taking taylor expansion of x in x 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of 1 in x 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (- 1) into -1 3.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.600 * [backup-simplify]: Simplify (* 0 -1) into 0 3.600 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ 1 0) into 1 3.601 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.601 * [backup-simplify]: Simplify (sqrt 0) into 0 3.602 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.602 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.605 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.605 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.609 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.609 * [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))))))) 3.609 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 3.609 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 3.609 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 3.609 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 3.609 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.609 * [taylor]: Taking taylor expansion of 1 in x 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (+ 1 0) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (- 1) into -1 3.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.612 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 3.612 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.612 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 3.612 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 3.612 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.612 * [taylor]: Taking taylor expansion of x in x 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [taylor]: Taking taylor expansion of 1 in x 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (+ 1 0) into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [backup-simplify]: Simplify (sqrt 1) into 1 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (- 1) into -1 3.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.615 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 3.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify -1/2 into -1/2 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 3.618 * [backup-simplify]: Simplify -1/8 into -1/8 3.618 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.618 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 3.618 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 3.618 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 3.618 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.618 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [taylor]: Taking taylor expansion of 1 in x 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (+ 1 0) into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (sqrt 1) into 1 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 1) into 1 3.621 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 3.621 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 3.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [taylor]: Taking taylor expansion of 1 in x 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [taylor]: Taking taylor expansion of x in x 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (+ 1 0) into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [backup-simplify]: Simplify (sqrt 1) into 1 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 1) into 1 3.625 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify 1/2 into 1/2 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 3.629 * [backup-simplify]: Simplify -1/8 into -1/8 3.629 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 3.629 * * * [progress]: simplifying candidates 3.629 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 3.630 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 3.630 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 3.630 * [simplify]: Simplifying: (expm1 (sqrt (* (- x 1) x))) (log1p (sqrt (* (- x 1) x))) (log (sqrt (* (- x 1) x))) (exp (sqrt (* (- x 1) x))) (* (cbrt (sqrt (* (- x 1) x))) (cbrt (sqrt (* (- x 1) x)))) (cbrt (sqrt (* (- x 1) x))) (* (* (sqrt (* (- x 1) x)) (sqrt (* (- x 1) x))) (sqrt (* (- x 1) x))) (sqrt (- x 1)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1 3)) x)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (* (- (* x x) (* 1 1)) x)) (sqrt (+ x 1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1) x))) (sqrt (sqrt (* (- x 1) x))) (real->posit16 (sqrt (* (- x 1) x))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* 1/8 (/ 1 x)) 1/2) x) 3.631 * * [simplify]: iteration 1: (53 enodes) 3.645 * * [simplify]: iteration 2: (113 enodes) 3.684 * * [simplify]: iteration 3: (250 enodes) 3.755 * * [simplify]: iteration 4: (629 enodes) 4.505 * * [simplify]: iteration 5: (1606 enodes) 11.060 * * [simplify]: Extracting #0: cost 19 inf + 0 11.061 * * [simplify]: Extracting #1: cost 145 inf + 1 11.067 * * [simplify]: Extracting #2: cost 381 inf + 723 11.087 * * [simplify]: Extracting #3: cost 285 inf + 18760 11.126 * * [simplify]: Extracting #4: cost 149 inf + 54207 11.173 * * [simplify]: Extracting #5: cost 7 inf + 119360 11.220 * * [simplify]: Extracting #6: cost 0 inf + 122183 11.256 * * [simplify]: Extracting #7: cost 0 inf + 122107 11.285 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) x))) (log1p (sqrt (- (* x x) x))) (log (sqrt (- (* x x) x))) (exp (sqrt (- (* x x) x))) (* (cbrt (sqrt (- (* x x) x))) (cbrt (sqrt (- (* x x) x)))) (cbrt (sqrt (- (* x x) x))) (* (- (* x x) x) (sqrt (- (* x x) x))) (sqrt (+ x -1)) (sqrt x) (sqrt (- (* (* x x) (* x x)) x)) (sqrt (+ (fma x x x) 1)) (sqrt (* (fma x x -1) x)) (sqrt (+ 1 x)) 1/2 1/2 (sqrt (sqrt (- (* x x) x))) (sqrt (sqrt (- (* x x) x))) (real->posit16 (sqrt (- (* x x) x))) (* x (- (* (- (* x x) x) +nan.0) +nan.0)) (- x (- (/ 1/8 x) -1/2)) (+ (- 1/2 x) (/ 1/8 x)) 11.286 * * * [progress]: adding candidates to table 11.378 * [progress]: [Phase 3 of 3] Extracting. 11.379 * * [regime]: Finding splitpoints for: (# #) 11.380 * * * [regime-changes]: Trying 1 branch expressions: (x) 11.380 * * * * [regimes]: Trying to branch on x from (# #) 11.398 * * * [regime]: Found split indices: #