0.468 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.429 * * * [progress]: [2/2] Setting up program. 0.435 * [progress]: [Phase 2 of 3] Improving. 0.436 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.483 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.485 * * [simplify]: iteration 0: 6 enodes 0.497 * * [simplify]: iteration 1: 12 enodes 0.500 * * [simplify]: iteration 2: 13 enodes 0.503 * * [simplify]: iteration complete: 13 enodes 0.503 * * [simplify]: Extracting #0: cost 1 inf + 0 0.504 * * [simplify]: Extracting #1: cost 3 inf + 0 0.504 * * [simplify]: Extracting #2: cost 5 inf + 0 0.504 * * [simplify]: Extracting #3: cost 6 inf + 1 0.504 * * [simplify]: Extracting #4: cost 0 inf + 330 0.505 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.508 * * [progress]: iteration 1 / 4 0.508 * * * [progress]: picking best candidate 0.512 * * * * [pick]: Picked # 0.512 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.574 * * * [progress]: generating series expansions 0.574 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.580 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.580 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 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 0.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.585 * [backup-simplify]: Simplify (* 0 -1) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 1 0) into 1 0.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.587 * [backup-simplify]: Simplify (sqrt 0) into 0 0.588 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.588 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.588 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of (- x 1) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of 1 in x 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (- 1) into -1 0.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.590 * [backup-simplify]: Simplify (* 0 -1) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.591 * [backup-simplify]: Simplify (sqrt 0) into 0 0.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.596 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.596 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.597 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.600 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.601 * [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))))))) 0.601 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.601 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 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 0.601 * [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 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.614 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 * [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 0) into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [backup-simplify]: Simplify (sqrt 1) into 1 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- 1) into -1 0.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.617 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.618 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify -1/2 into -1/2 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.620 * [backup-simplify]: Simplify -1/8 into -1/8 0.620 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.620 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.620 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.620 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) 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 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of 1 in x 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (+ 1 0) into 1 0.621 * [backup-simplify]: Simplify (- 1) into -1 0.622 * [backup-simplify]: Simplify (sqrt 0) into 0 0.622 * [backup-simplify]: Simplify (- 1) into -1 0.623 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [backup-simplify]: Simplify -1 into -1 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (/ -1 1) into -1 0.623 * [backup-simplify]: Simplify (sqrt 0) into 0 0.624 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.624 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.624 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of 1 in x 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (+ 1 0) into 1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.625 * [backup-simplify]: Simplify (sqrt 0) into 0 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.626 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [backup-simplify]: Simplify -1 into -1 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ -1 1) into -1 0.627 * [backup-simplify]: Simplify (sqrt 0) into 0 0.628 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.628 * [backup-simplify]: Simplify (* 0 0) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 1) into 1 0.635 * [backup-simplify]: Simplify (- 1) into -1 0.638 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.640 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.640 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.655 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.655 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.668 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.669 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.669 * [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))))) 0.669 * * * [progress]: simplifying candidates 0.670 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.670 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.671 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.671 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.672 * [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))) (- (+ (* +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))))) 0.672 * * [simplify]: iteration 0: 85 enodes 0.691 * * [simplify]: iteration 1: 190 enodes 0.766 * * [simplify]: iteration 2: 429 enodes 0.905 * * [simplify]: iteration 3: 1119 enodes 1.233 * * [simplify]: iteration complete: 2006 enodes 1.233 * * [simplify]: Extracting #0: cost 23 inf + 0 1.234 * * [simplify]: Extracting #1: cost 137 inf + 0 1.236 * * [simplify]: Extracting #2: cost 469 inf + 212 1.244 * * [simplify]: Extracting #3: cost 401 inf + 18454 1.265 * * [simplify]: Extracting #4: cost 111 inf + 64750 1.294 * * [simplify]: Extracting #5: cost 50 inf + 80767 1.320 * * [simplify]: Extracting #6: cost 10 inf + 88393 1.340 * * [simplify]: Extracting #7: cost 0 inf + 90923 1.373 * [simplify]: Simplified to: (* (- x 1) x) (* (sqrt (- x 1)) (sqrt x)) (* (- x 1) x) (log (* (sqrt (- x 1)) (sqrt x))) (log (* (sqrt (- x 1)) (sqrt x))) (exp (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) (* (* (sqrt (- x 1)) (sqrt x)) x)) (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) (* (* (sqrt (- x 1)) (sqrt x)) x)) (* (- x 1) 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)))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1))) (* (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 (- (sqrt x) 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 x) (sqrt (+ -1 (* (* x x) x)))) (* (sqrt (+ -1 (* x x))) (sqrt x)) (real->posit16 (* (sqrt (- x 1)) (sqrt x))) (+ (- (+ (* +nan.0 x) (* +nan.0 (* x x)))) (* (* x x) (* +nan.0 x))) (+ (- -1/2 (/ 1/8 x)) x) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) 1.376 * * * [progress]: adding candidates to table 1.542 * * [progress]: iteration 2 / 4 1.542 * * * [progress]: picking best candidate 1.548 * * * * [pick]: Picked # 1.548 * * * [progress]: localizing error 1.565 * * * [progress]: generating rewritten candidates 1.565 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.599 * * * [progress]: generating series expansions 1.599 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.599 * [backup-simplify]: Simplify (+ (- -1/2 (/ 1/8 x)) x) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.599 * [approximate]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 1.599 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.599 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of 1/8 in x 1.599 * [backup-simplify]: Simplify 1/8 into 1/8 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [taylor]: Taking taylor expansion of 1/2 in x 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.600 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.600 * [taylor]: Taking taylor expansion of 1/8 in x 1.600 * [backup-simplify]: Simplify 1/8 into 1/8 1.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [taylor]: Taking taylor expansion of 1/2 in x 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.601 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.602 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.602 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.602 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.603 * [backup-simplify]: Simplify -1/8 into -1/8 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.605 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.605 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.605 * [backup-simplify]: Simplify -1/2 into -1/2 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.609 * [backup-simplify]: Simplify (+ (- -1/2 (/ 1/8 (/ 1 x))) (/ 1 x)) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 1.609 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 1.609 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.610 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.610 * [taylor]: Taking taylor expansion of 1/8 in x 1.610 * [backup-simplify]: Simplify 1/8 into 1/8 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of 1/2 in x 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.610 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.610 * [taylor]: Taking taylor expansion of 1/8 in x 1.610 * [backup-simplify]: Simplify 1/8 into 1/8 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [taylor]: Taking taylor expansion of 1/2 in x 1.611 * [backup-simplify]: Simplify 1/2 into 1/2 1.611 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.613 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.614 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.614 * [backup-simplify]: Simplify -1/2 into -1/2 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.616 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.616 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.617 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.617 * [backup-simplify]: Simplify -1/8 into -1/8 1.617 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.617 * [backup-simplify]: Simplify (+ (- -1/2 (/ 1/8 (/ 1 (- x)))) (/ 1 (- x))) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 1.617 * [approximate]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 1.617 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.617 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.617 * [taylor]: Taking taylor expansion of 1/8 in x 1.617 * [backup-simplify]: Simplify 1/8 into 1/8 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of 1/2 in x 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.618 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.618 * [taylor]: Taking taylor expansion of 1/8 in x 1.618 * [backup-simplify]: Simplify 1/8 into 1/8 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of 1/2 in x 1.619 * [backup-simplify]: Simplify 1/2 into 1/2 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (- 1) into -1 1.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.620 * [backup-simplify]: Simplify -1 into -1 1.621 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.622 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.623 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.623 * [backup-simplify]: Simplify -1/2 into -1/2 1.624 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.626 * [backup-simplify]: Simplify 1/8 into 1/8 1.626 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.626 * * * [progress]: simplifying candidates 1.626 * * * * [progress]: [ 1 / 21 ] simplifiying candidate # 1.626 * * * * [progress]: [ 2 / 21 ] simplifiying candidate # 1.626 * * * * [progress]: [ 3 / 21 ] simplifiying candidate # 1.626 * * * * [progress]: [ 4 / 21 ] simplifiying candidate # 1.626 * * * * [progress]: [ 5 / 21 ] simplifiying candidate # 1.626 * * * * [progress]: [ 6 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 7 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 8 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 9 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 10 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 11 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 12 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 13 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 14 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 15 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 16 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 17 / 21 ] simplifiying candidate #real (real->posit16 (+ (- -1/2 (/ 1/8 x)) x))))> 1.627 * * * * [progress]: [ 18 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 19 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 20 / 21 ] simplifiying candidate # 1.627 * * * * [progress]: [ 21 / 21 ] simplifiying candidate # 1.628 * [simplify]: Simplifying: (* (/ (exp -1/2) (exp (/ 1/8 x))) (exp x)) (* (exp (- -1/2 (/ 1/8 x))) (exp x)) (log (+ (- -1/2 (/ 1/8 x)) x)) (exp (+ (- -1/2 (/ 1/8 x)) x)) (* (cbrt (+ (- -1/2 (/ 1/8 x)) x)) (cbrt (+ (- -1/2 (/ 1/8 x)) x))) (cbrt (+ (- -1/2 (/ 1/8 x)) x)) (* (* (+ (- -1/2 (/ 1/8 x)) x) (+ (- -1/2 (/ 1/8 x)) x)) (+ (- -1/2 (/ 1/8 x)) x)) (sqrt (+ (- -1/2 (/ 1/8 x)) x)) (sqrt (+ (- -1/2 (/ 1/8 x)) x)) (+ (pow (- -1/2 (/ 1/8 x)) 3) (pow x 3)) (+ (* (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x))) (- (* x x) (* (- -1/2 (/ 1/8 x)) x))) (- (* (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x))) (* x x)) (- (- -1/2 (/ 1/8 x)) x) (+ (- -1/2 (/ 1/8 x)) x) (+ (- -1/2 (/ 1/8 x)) x) (+ (- (/ 1/8 x)) x) (+ (- (/ 1/8 x)) x) (- (/ 1/8 x) x) (real->posit16 (+ (- -1/2 (/ 1/8 x)) x)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.628 * * [simplify]: iteration 0: 41 enodes 1.646 * * [simplify]: iteration 1: 102 enodes 1.684 * * [simplify]: iteration 2: 278 enodes 1.808 * * [simplify]: iteration 3: 1291 enodes 2.260 * * [simplify]: iteration complete: 2001 enodes 2.260 * * [simplify]: Extracting #0: cost 14 inf + 0 2.261 * * [simplify]: Extracting #1: cost 178 inf + 0 2.264 * * [simplify]: Extracting #2: cost 475 inf + 589 2.269 * * [simplify]: Extracting #3: cost 542 inf + 6408 2.284 * * [simplify]: Extracting #4: cost 321 inf + 42015 2.321 * * [simplify]: Extracting #5: cost 56 inf + 100682 2.370 * * [simplify]: Extracting #6: cost 31 inf + 109894 2.416 * * [simplify]: Extracting #7: cost 11 inf + 112245 2.462 * * [simplify]: Extracting #8: cost 0 inf + 115520 2.510 * [simplify]: Simplified to: (exp (- (+ -1/2 x) (/ 1/8 x))) (exp (- (+ -1/2 x) (/ 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))) (+ (* (* x x) x) (* (- -1/2 (/ 1/8 x)) (* (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x))))) (+ (* x (+ (- x -1/2) (/ 1/8 x))) (* (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x)))) (- (* (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x))) (* x x)) (- (- -1/2 (/ 1/8 x)) x) (- (+ -1/2 x) (/ 1/8 x)) (- (+ -1/2 x) (/ 1/8 x)) (- x (/ 1/8 x)) (- x (/ 1/8 x)) (- (/ 1/8 x) x) (real->posit16 (- (+ -1/2 x) (/ 1/8 x))) (- (+ -1/2 x) (/ 1/8 x)) (- (+ -1/2 x) (/ 1/8 x)) (- (+ -1/2 x) (/ 1/8 x)) 2.511 * * * [progress]: adding candidates to table 2.562 * * [progress]: iteration 3 / 4 2.562 * * * [progress]: picking best candidate 2.563 * * * * [pick]: Picked # 2.563 * * * [progress]: localizing error 2.573 * * * [progress]: generating rewritten candidates 2.573 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.580 * * * [progress]: generating series expansions 2.580 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.580 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 2.580 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 2.580 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.580 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [taylor]: Taking taylor expansion of (- x 1) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of 1 in x 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (- 1) into -1 2.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.582 * [backup-simplify]: Simplify (* 0 -1) into 0 2.582 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify (+ 1 0) into 1 2.583 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.583 * [backup-simplify]: Simplify (sqrt 0) into 0 2.584 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.584 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.584 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [taylor]: Taking taylor expansion of (- x 1) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [taylor]: Taking taylor expansion of 1 in x 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (- 1) into -1 2.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.585 * [backup-simplify]: Simplify (* 0 -1) into 0 2.585 * [backup-simplify]: Simplify (- 0) into 0 2.585 * [backup-simplify]: Simplify (+ 1 0) into 1 2.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.586 * [backup-simplify]: Simplify (sqrt 0) into 0 2.587 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.590 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.590 * [backup-simplify]: Simplify (- 0) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.594 * [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))))))) 2.594 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 2.594 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 2.594 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.594 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.594 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.594 * [taylor]: Taking taylor expansion of 1 in x 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (+ 1 0) into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [backup-simplify]: Simplify (sqrt 1) into 1 2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- 1) into -1 2.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.596 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.597 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.597 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.597 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.597 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ 1 1) into 1 2.597 * [taylor]: Taking taylor expansion of 1 in x 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (+ 1 0) into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [backup-simplify]: Simplify (sqrt 1) into 1 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (- 1) into -1 2.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.599 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.600 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify -1/2 into -1/2 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 2.602 * [backup-simplify]: Simplify -1/8 into -1/8 2.602 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.602 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 2.602 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 2.602 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.602 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [taylor]: Taking taylor expansion of 1 in x 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of x in x 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (+ 1 0) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [backup-simplify]: Simplify (sqrt 1) into 1 2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (+ 0 1) into 1 2.606 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.607 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.607 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.607 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [taylor]: Taking taylor expansion of 1 in x 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (+ 1 0) into 1 2.608 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [backup-simplify]: Simplify (sqrt 1) into 1 2.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 1) into 1 2.610 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify 1/2 into 1/2 2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 2.614 * [backup-simplify]: Simplify -1/8 into -1/8 2.615 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.615 * * * [progress]: simplifying candidates 2.615 * * * * [progress]: [ 1 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 2 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 3 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 4 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 5 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 6 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 7 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 8 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 9 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 10 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 11 / 17 ] simplifiying candidate # 2.615 * * * * [progress]: [ 12 / 17 ] simplifiying candidate # 2.616 * * * * [progress]: [ 13 / 17 ] simplifiying candidate # 2.616 * * * * [progress]: [ 14 / 17 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 2.616 * * * * [progress]: [ 15 / 17 ] simplifiying candidate # 2.616 * * * * [progress]: [ 16 / 17 ] simplifiying candidate # 2.616 * * * * [progress]: [ 17 / 17 ] simplifiying candidate # 2.616 * [simplify]: Simplifying: (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) 2.617 * * [simplify]: iteration 0: 51 enodes 2.642 * * [simplify]: iteration 1: 110 enodes 2.696 * * [simplify]: iteration 2: 238 enodes 2.779 * * [simplify]: iteration 3: 574 enodes 3.049 * * [simplify]: iteration 4: 1443 enodes 3.379 * * [simplify]: iteration complete: 2000 enodes 3.379 * * [simplify]: Extracting #0: cost 17 inf + 0 3.380 * * [simplify]: Extracting #1: cost 86 inf + 1 3.380 * * [simplify]: Extracting #2: cost 244 inf + 91 3.383 * * [simplify]: Extracting #3: cost 263 inf + 7132 3.391 * * [simplify]: Extracting #4: cost 183 inf + 20517 3.400 * * [simplify]: Extracting #5: cost 116 inf + 43214 3.411 * * [simplify]: Extracting #6: cost 19 inf + 70318 3.423 * * [simplify]: Extracting #7: cost 0 inf + 76589 3.434 * [simplify]: Simplified to: (log (sqrt (* x (+ x -1)))) (exp (sqrt (* x (+ x -1)))) (* (cbrt (sqrt (* x (+ x -1)))) (cbrt (sqrt (* x (+ x -1))))) (cbrt (sqrt (* x (+ x -1)))) (* (sqrt (* x (+ x -1))) (* x (+ x -1))) (sqrt (+ x -1)) (sqrt x) (sqrt (- (* (* x x) (* x x)) x)) (sqrt (+ (+ x 1) (* x x))) (sqrt (- (* x (* x x)) x)) (sqrt (+ 1 x)) 1/2 1/2 (sqrt (sqrt (* x (+ x -1)))) (sqrt (sqrt (* x (+ x -1)))) (real->posit16 (sqrt (* x (+ x -1)))) (- (* x (- (* (* x +nan.0) x) (* x +nan.0))) (* x +nan.0)) (+ (/ -1/8 x) (- x 1/2)) (+ (/ 1/8 x) (- 1/2 x)) 3.435 * * * [progress]: adding candidates to table 3.481 * [progress]: [Phase 3 of 3] Extracting. 3.481 * * [regime]: Finding splitpoints for: (# # #) 3.482 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1)) (sqrt x)) x) 3.483 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (# # #) 3.537 * * * * [regimes]: Trying to branch on x from (# # #) 3.563 * * * [regime]: Found split indices: #