1.729 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.206 * * * [progress]: [2/2] Setting up program. 0.222 * [progress]: [Phase 2 of 3] Improving. 0.226 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.334 * * [simplify]: iteration 0: 6 enodes 0.352 * * [simplify]: iteration 1: 9 enodes 0.357 * * [simplify]: iteration 2: 10 enodes 0.359 * * [simplify]: iteration complete: 10 enodes 0.360 * * [simplify]: Extracting #0: cost 1 inf + 0 0.360 * * [simplify]: Extracting #1: cost 3 inf + 0 0.360 * * [simplify]: Extracting #2: cost 5 inf + 0 0.361 * * [simplify]: Extracting #3: cost 6 inf + 1 0.361 * * [simplify]: Extracting #4: cost 3 inf + 85 0.361 * * [simplify]: Extracting #5: cost 0 inf + 370 0.362 * [simplify]: Simplified to: (* (sqrt x) (sqrt (- x 1.0))) 0.365 * * [progress]: iteration 1 / 4 0.365 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.374 * * * [progress]: localizing error 0.398 * * * [progress]: generating rewritten candidates 0.398 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.466 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.476 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x)) 0.476 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.478 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.478 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [backup-simplify]: Simplify 1.0 into 1.0 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.481 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.482 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.485 * [backup-simplify]: Simplify (sqrt 0) into 0 0.487 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.487 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.487 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.488 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [backup-simplify]: Simplify 1.0 into 1.0 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.489 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.490 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.519 * [backup-simplify]: Simplify (sqrt 0) into 0 0.521 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.537 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.547 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 0.547 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.547 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [backup-simplify]: Simplify 1.0 into 1.0 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.552 * [backup-simplify]: Simplify (sqrt 1) into 1 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.555 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.558 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.560 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.560 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [backup-simplify]: Simplify 1.0 into 1.0 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [backup-simplify]: Simplify (sqrt 1) into 1 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.564 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.567 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.569 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify -0.5 into -0.5 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.578 * [backup-simplify]: Simplify -0.125 into -0.125 0.578 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.578 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 0.578 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [backup-simplify]: Simplify 1.0 into 1.0 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (+ 0 1) into 1 0.580 * [backup-simplify]: Simplify (- 1) into -1 0.581 * [backup-simplify]: Simplify (sqrt 0) into 0 0.581 * [backup-simplify]: Simplify (- 1) into -1 0.583 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [backup-simplify]: Simplify -1 into -1 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ -1 1) into -1 0.585 * [backup-simplify]: Simplify (sqrt 0) into 0 0.586 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.587 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.587 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [backup-simplify]: Simplify (+ 0 1) into 1 0.589 * [backup-simplify]: Simplify (- 1) into -1 0.589 * [backup-simplify]: Simplify (sqrt 0) into 0 0.590 * [backup-simplify]: Simplify (- 1) into -1 0.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [backup-simplify]: Simplify -1 into -1 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ -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 0.592 * [backup-simplify]: Simplify (* 0 0) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.599 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.603 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.606 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.607 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.625 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.625 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.645 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.646 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.648 * [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))))) 0.648 * * * [progress]: simplifying candidates 0.650 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.652 * * [simplify]: iteration 0: 85 enodes 0.708 * * [simplify]: iteration 1: 197 enodes 0.855 * * [simplify]: iteration 2: 517 enodes 1.418 * * [simplify]: iteration 3: 1525 enodes 3.503 * * [simplify]: iteration complete: 5001 enodes 3.503 * * [simplify]: Extracting #0: cost 24 inf + 0 3.505 * * [simplify]: Extracting #1: cost 381 inf + 0 3.515 * * [simplify]: Extracting #2: cost 1040 inf + 3625 3.539 * * [simplify]: Extracting #3: cost 1038 inf + 39400 3.599 * * [simplify]: Extracting #4: cost 672 inf + 89778 3.649 * * [simplify]: Extracting #5: cost 135 inf + 201791 3.722 * * [simplify]: Extracting #6: cost 9 inf + 236121 3.817 * * [simplify]: Extracting #7: cost 2 inf + 237048 3.919 * * [simplify]: Extracting #8: cost 0 inf + 237554 4.011 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (- x 1.0))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (* (* x x) x) (* (* 1.0 1.0) 1.0))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (fma (* x x) (- +nan.0) (* +nan.0 (- (* (* x x) x) x))) (- (- x 0.5) (/ 0.125 x)) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) 4.014 * * * [progress]: adding candidates to table 4.284 * * [progress]: iteration 2 / 4 4.285 * * * [progress]: picking best candidate 4.297 * * * * [pick]: Picked # 4.297 * * * [progress]: localizing error 4.319 * * * [progress]: generating rewritten candidates 4.319 * * * [progress]: generating series expansions 4.319 * * * [progress]: simplifying candidates 4.319 * [simplify]: Simplifying: 4.319 * * [simplify]: iteration 0: 0 enodes 4.319 * * [simplify]: iteration complete: 0 enodes 4.319 * * [simplify]: Extracting #0: cost 0 inf + 0 4.319 * [simplify]: Simplified to: 4.319 * * * [progress]: adding candidates to table 4.320 * * [progress]: iteration 3 / 4 4.320 * * * [progress]: picking best candidate 4.327 * * * * [pick]: Picked # 4.327 * * * [progress]: localizing error 4.344 * * * [progress]: generating rewritten candidates 4.344 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.369 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.423 * * * [progress]: generating series expansions 4.423 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.424 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* (- x 1.0) x)) 4.424 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 4.424 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 4.424 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 4.424 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [taylor]: Taking taylor expansion of 1.0 in x 4.424 * [backup-simplify]: Simplify 1.0 into 1.0 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.426 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.427 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 4.427 * [backup-simplify]: Simplify (- 0) into 0 4.428 * [backup-simplify]: Simplify (+ 1 0) into 1 4.430 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 4.431 * [backup-simplify]: Simplify (sqrt 0) into 0 4.433 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.433 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 4.433 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 4.433 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [taylor]: Taking taylor expansion of 1.0 in x 4.433 * [backup-simplify]: Simplify 1.0 into 1.0 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.435 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.435 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 4.436 * [backup-simplify]: Simplify (- 0) into 0 4.436 * [backup-simplify]: Simplify (+ 1 0) into 1 4.439 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 4.440 * [backup-simplify]: Simplify (sqrt 0) into 0 4.442 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.443 * [backup-simplify]: Simplify (- 0) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 4.448 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.449 * [backup-simplify]: Simplify (- 0) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.493 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 4.494 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 4.494 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 4.494 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.494 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.494 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.494 * [taylor]: Taking taylor expansion of x in x 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (/ 1 1) into 1 4.495 * [taylor]: Taking taylor expansion of 1.0 in x 4.495 * [backup-simplify]: Simplify 1.0 into 1.0 4.495 * [taylor]: Taking taylor expansion of x in x 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (+ 1 0) into 1 4.496 * [backup-simplify]: Simplify (/ 1 1) into 1 4.496 * [backup-simplify]: Simplify (sqrt 1) into 1 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.499 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.502 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.504 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.504 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.504 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [taylor]: Taking taylor expansion of 1.0 in x 4.505 * [backup-simplify]: Simplify 1.0 into 1.0 4.505 * [taylor]: Taking taylor expansion of x in x 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (+ 1 0) into 1 4.506 * [backup-simplify]: Simplify (/ 1 1) into 1 4.506 * [backup-simplify]: Simplify (sqrt 1) into 1 4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.508 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.511 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.513 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify -0.5 into -0.5 4.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (- 0) into 0 4.539 * [backup-simplify]: Simplify (+ 0 0) into 0 4.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 4.547 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.547 * [backup-simplify]: Simplify -0.125 into -0.125 4.548 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 4.548 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ 1.0 (/ 1 x)) x)) 4.548 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 4.548 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 4.548 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 4.548 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.548 * [taylor]: Taking taylor expansion of 1.0 in x 4.548 * [backup-simplify]: Simplify 1.0 into 1.0 4.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.548 * [taylor]: Taking taylor expansion of x in x 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (+ 0 1) into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.555 * [backup-simplify]: Simplify (sqrt 1) into 1 4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.562 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.563 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.563 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 4.563 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 4.563 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.564 * [taylor]: Taking taylor expansion of 1.0 in x 4.564 * [backup-simplify]: Simplify 1.0 into 1.0 4.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (+ 0 1) into 1 4.565 * [backup-simplify]: Simplify (/ 1 1) into 1 4.565 * [backup-simplify]: Simplify (sqrt 1) into 1 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.569 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.570 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify 0.5 into 0.5 4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.576 * [backup-simplify]: Simplify -0.125 into -0.125 4.576 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x) 4.576 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.576 * [backup-simplify]: Simplify (* (- x 1.0) x) into (* (- x 1.0) x) 4.576 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 4.577 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 4.577 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [backup-simplify]: Simplify 1.0 into 1.0 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 4.577 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [backup-simplify]: Simplify 1.0 into 1.0 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.579 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.579 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (- 0) into 0 4.580 * [backup-simplify]: Simplify (+ 1 0) into 1 4.582 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 4.583 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.583 * [backup-simplify]: Simplify (- 0) into 0 4.584 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 4.585 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (- 0) into 0 4.586 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (- 0) into 0 4.588 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.590 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (- 0) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.593 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (- 0) into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.604 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* (- 1.0) x)) into (- (pow x 2) (* 1.0 x)) 4.605 * [backup-simplify]: Simplify (* (- (/ 1 x) 1.0) (/ 1 x)) into (/ (- (/ 1 x) 1.0) x) 4.605 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 4.605 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.605 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [backup-simplify]: Simplify 1.0 into 1.0 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (+ 1 0) into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.607 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [taylor]: Taking taylor expansion of 1.0 in x 4.608 * [backup-simplify]: Simplify 1.0 into 1.0 4.608 * [taylor]: Taking taylor expansion of x in x 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (+ 1 0) into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.611 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.614 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.615 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (- 0) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (- 0) into 0 4.620 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (- 0) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (- 0) into 0 4.635 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) (* 1.0 x)) 4.638 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) 1.0) (/ 1 (- x))) into (/ (+ 1.0 (/ 1 x)) x) 4.638 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 4.638 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 4.638 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.638 * [taylor]: Taking taylor expansion of 1.0 in x 4.638 * [backup-simplify]: Simplify 1.0 into 1.0 4.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [taylor]: Taking taylor expansion of x in x 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (+ 0 1) into 1 4.640 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 4.640 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.640 * [taylor]: Taking taylor expansion of 1.0 in x 4.640 * [backup-simplify]: Simplify 1.0 into 1.0 4.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (+ 0 1) into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.645 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.645 * [backup-simplify]: Simplify 1.0 into 1.0 4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ 0 0) into 0 4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) (* 1.0 x)) 4.663 * * * [progress]: simplifying candidates 4.664 * [simplify]: Simplifying: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (expm1 (* (- x 1.0) x)) (log1p (* (- x 1.0) x)) (* (- x 1.0) x) (+ (log (- x 1.0)) (log x)) (log (* (- x 1.0) x)) (exp (* (- x 1.0) x)) (* (* (* (- x 1.0) (- x 1.0)) (- x 1.0)) (* (* x x) x)) (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x))) (cbrt (* (- x 1.0) x)) (* (* (* (- x 1.0) x) (* (- x 1.0) x)) (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) (* (cbrt x) (cbrt x))) (* (- x 1.0) (sqrt x)) (* (- x 1.0) 1) (* (cbrt (- x 1.0)) x) (* (sqrt (- x 1.0)) x) (* (- x 1.0) x) (* (- (sqrt x) (sqrt 1.0)) x) (* (- x 1.0) x) (* (- (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 4.664 * * [simplify]: iteration 0: 82 enodes 4.705 * * [simplify]: iteration 1: 184 enodes 4.843 * * [simplify]: iteration 2: 447 enodes 5.318 * * [simplify]: iteration 3: 1432 enodes 7.735 * * [simplify]: iteration complete: 5000 enodes 7.735 * * [simplify]: Extracting #0: cost 37 inf + 0 7.738 * * [simplify]: Extracting #1: cost 475 inf + 1 7.758 * * [simplify]: Extracting #2: cost 1226 inf + 7856 7.792 * * [simplify]: Extracting #3: cost 850 inf + 67140 7.858 * * [simplify]: Extracting #4: cost 168 inf + 193955 7.948 * * [simplify]: Extracting #5: cost 4 inf + 243068 8.040 * * [simplify]: Extracting #6: cost 0 inf + 243577 8.131 * [simplify]: Simplified to: (expm1 (sqrt (* x (- x 1.0)))) (log1p (sqrt (* x (- x 1.0)))) (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (* (* x (- x 1.0)) (sqrt (* x (- x 1.0)))) (sqrt (- x 1.0)) (sqrt x) (sqrt (- (* (* x x) (* x x)) (* (* x (* 1.0 1.0)) 1.0))) (sqrt (fma 1.0 1.0 (* (+ x 1.0) x))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (expm1 (* x (- x 1.0))) (log1p (* x (- x 1.0))) (* x (- x 1.0)) (log (* x (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* x (- x 1.0)) (* (* x (- x 1.0)) (* x (- x 1.0)))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (* (* x (- x 1.0)) (* (* x (- x 1.0)) (* x (- x 1.0)))) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (cbrt x) (* (cbrt x) (- x 1.0))) (* (sqrt x) (- x 1.0)) (- x 1.0) (* (cbrt (- x 1.0)) x) (* x (sqrt (- x 1.0))) (* x (- x 1.0)) (* x (- (sqrt x) (sqrt 1.0))) (* x (- x 1.0)) (- (* (* x x) (* x x)) (* (* x (* 1.0 1.0)) 1.0)) (* x (- (* x x) (* 1.0 1.0))) (- (fma (* x x) (- +nan.0 (* x +nan.0)) (* x +nan.0))) (- (- x 0.5) (/ 0.125 x)) (+ (/ 0.125 x) (- 0.5 x)) (- (* x x) (* 1.0 x)) (- (* x x) (* 1.0 x)) (- (* x x) (* 1.0 x)) 8.133 * * * [progress]: adding candidates to table 8.397 * [progress]: [Phase 3 of 3] Extracting. 8.401 * * [regime]: Finding splitpoints for: (# #) 8.403 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.404 * * * * [regimes]: Trying to branch on x from (# #) 8.461 * * * [regime]: Found split indices: #