0.003 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.328 * * * [progress]: [2/2] Setting up program.
0.336 * [progress]: [Phase 2 of 3] Improving.
0.336 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- x 1)) (sqrt x)))>
0.338 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt x))
0.340 * * [simplify]: iteration 1: (6 enodes)
0.348 * * [simplify]: iteration 2: (24 enodes)
0.390 * * [simplify]: iteration 3: (28 enodes)
0.402 * * [simplify]: iteration 4: (29 enodes)
0.445 * * [simplify]: Extracting #0: cost 1 inf + 0
0.446 * * [simplify]: Extracting #1: cost 4 inf + 0
0.446 * * [simplify]: Extracting #2: cost 8 inf + 0
0.446 * * [simplify]: Extracting #3: cost 10 inf + 1
0.446 * * [simplify]: Extracting #4: cost 5 inf + 128
0.446 * * [simplify]: Extracting #5: cost 1 inf + 495
0.447 * * [simplify]: Extracting #6: cost 0 inf + 657
0.447 * [simplify]: Simplified to (* (sqrt (+ -1 x)) (sqrt x))
0.452 * * [progress]: iteration 1 / 4
0.452 * * * [progress]: picking best candidate
0.459 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (- x 1)) (sqrt x)))>
0.459 * * * [progress]: localizing error
0.485 * * * [progress]: generating rewritten candidates
0.486 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.529 * * * [progress]: generating series expansions
0.529 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.537 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1)))
0.537 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0
0.538 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x
0.538 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x
0.538 * [taylor]: Taking taylor expansion of x in x
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [taylor]: Taking taylor expansion of (- x 1) in x
0.538 * [taylor]: Taking taylor expansion of x in x
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [taylor]: Taking taylor expansion of 1 in x
0.538 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (- 1) into -1
0.541 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.541 * [backup-simplify]: Simplify (* 0 -1) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ 1 0) into 1
0.543 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
0.543 * [backup-simplify]: Simplify (sqrt 0) into 0
0.545 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.545 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x
0.545 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x
0.545 * [taylor]: Taking taylor expansion of x in x
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [taylor]: Taking taylor expansion of (- x 1) in x
0.545 * [taylor]: Taking taylor expansion of x in x
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [taylor]: Taking taylor expansion of 1 in x
0.545 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (- 1) into -1
0.546 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.547 * [backup-simplify]: Simplify (* 0 -1) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify (+ 1 0) into 1
0.548 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
0.549 * [backup-simplify]: Simplify (sqrt 0) into 0
0.550 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.552 * [backup-simplify]: Simplify (- 0) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1
0.561 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.561 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.567 * [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)))))))
0.567 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x))
0.567 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0
0.567 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x
0.567 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x
0.567 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x
0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.567 * [taylor]: Taking taylor expansion of x in x
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (/ 1 1) into 1
0.567 * [taylor]: Taking taylor expansion of 1 in x
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [taylor]: Taking taylor expansion of x in x
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (+ 1 0) into 1
0.568 * [backup-simplify]: Simplify (/ 1 1) into 1
0.568 * [backup-simplify]: Simplify (sqrt 1) into 1
0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (- 1) into -1
0.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.570 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1
0.571 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
0.571 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x
0.571 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x
0.571 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x
0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (/ 1 1) into 1
0.571 * [taylor]: Taking taylor expansion of 1 in x
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (+ 1 0) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [backup-simplify]: Simplify (sqrt 1) into 1
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (- 1) into -1
0.573 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.583 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1
0.584 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify -1/2 into -1/2
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- 0) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8
0.586 * [backup-simplify]: Simplify -1/8 into -1/8
0.586 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2))
0.587 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x)))
0.587 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0
0.587 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x
0.587 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x
0.587 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x
0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x
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
0.587 * [backup-simplify]: Simplify (/ 1 1) into 1
0.587 * [taylor]: Taking taylor expansion of 1 in x
0.587 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (+ 1 0) into 1
0.588 * [backup-simplify]: Simplify (- 1) into -1
0.588 * [backup-simplify]: Simplify (sqrt 0) into 0
0.588 * [backup-simplify]: Simplify (- 1) into -1
0.589 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.589 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.589 * [taylor]: Taking taylor expansion of -1 in x
0.589 * [backup-simplify]: Simplify -1 into -1
0.589 * [taylor]: Taking taylor expansion of x in x
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (/ -1 1) into -1
0.590 * [backup-simplify]: Simplify (sqrt 0) into 0
0.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.590 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x
0.590 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x
0.590 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x
0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x
0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.590 * [taylor]: Taking taylor expansion of x in x
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (/ 1 1) into 1
0.591 * [taylor]: Taking taylor expansion of 1 in x
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (+ 1 0) into 1
0.591 * [backup-simplify]: Simplify (- 1) into -1
0.592 * [backup-simplify]: Simplify (sqrt 0) into 0
0.592 * [backup-simplify]: Simplify (- 1) into -1
0.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.593 * [taylor]: Taking taylor expansion of -1 in x
0.593 * [backup-simplify]: Simplify -1 into -1
0.593 * [taylor]: Taking taylor expansion of x in x
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (/ -1 1) into -1
0.593 * [backup-simplify]: Simplify (sqrt 0) into 0
0.594 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.594 * [backup-simplify]: Simplify (* 0 0) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [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
0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (+ 0 1) into 1
0.598 * [backup-simplify]: Simplify (- 1) into -1
0.600 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.601 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
0.601 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [backup-simplify]: Simplify (- 0) into 0
0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.610 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
0.610 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [backup-simplify]: Simplify (- 0) into 0
0.618 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.621 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
0.621 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.622 * [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)))))
0.622 * * * [progress]: simplifying candidates
0.622 * * * * [progress]: [ 1 / 42 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 2 / 42 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 3 / 42 ] simplifiying candidate #<alt (λ (x) (pow (* (- x 1) x) 1/2))>
0.623 * * * * [progress]: [ 4 / 42 ] simplifiying candidate #<alt (λ (x) (pow (* (sqrt (- x 1)) (sqrt x)) 1))>
0.623 * * * * [progress]: [ 5 / 42 ] simplifiying candidate #<alt (λ (x) (pow (* (- x 1) x) (/ 1 2)))>
0.623 * * * * [progress]: [ 6 / 42 ] simplifiying candidate #<alt (λ (x) (pow (* (sqrt (- x 1)) (sqrt x)) 1))>
0.623 * * * * [progress]: [ 7 / 42 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (sqrt (- x 1))) (log (sqrt x)))))>
0.623 * * * * [progress]: [ 8 / 42 ] simplifiying candidate #<alt (λ (x) (exp (log (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 9 / 42 ] simplifiying candidate #<alt (λ (x) (log (exp (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 10 / 42 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))))>
0.623 * * * * [progress]: [ 11 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 12 / 42 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 13 / 42 ] simplifiying candidate #<alt (λ (x) (sqrt (* (- x 1) x)))>
0.623 * * * * [progress]: [ 14 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (sqrt (- x 1)) (sqrt x))) (sqrt (* (sqrt (- x 1)) (sqrt x)))))>
0.623 * * * * [progress]: [ 15 / 42 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (- x 1)) (sqrt x))))>
0.623 * * * * [progress]: [ 16 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))))>
0.623 * * * * [progress]: [ 17 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))))>
0.623 * * * * [progress]: [ 18 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))))>
0.623 * * * * [progress]: [ 19 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))))>
0.623 * * * * [progress]: [ 20 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x))))>
0.623 * * * * [progress]: [ 21 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) (sqrt (* (cbrt x) (cbrt x)))) (sqrt (cbrt x))))>
0.624 * * * * [progress]: [ 22 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x))))>
0.624 * * * * [progress]: [ 23 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) (sqrt 1)) (sqrt x)))>
0.624 * * * * [progress]: [ 24 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x))))>
0.624 * * * * [progress]: [ 25 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (- x 1)) 1) (sqrt x)))>
0.624 * * * * [progress]: [ 26 / 42 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (* (cbrt (sqrt (- x 1))) (sqrt x))))>
0.624 * * * * [progress]: [ 27 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (cbrt (- x 1))) (sqrt x))))>
0.624 * * * * [progress]: [ 28 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (sqrt (- x 1))) (* (sqrt (sqrt (- x 1))) (sqrt x))))>
0.624 * * * * [progress]: [ 29 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt 1) (* (sqrt (- x 1)) (sqrt x))))>
0.624 * * * * [progress]: [ 30 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (+ (sqrt x) (sqrt 1))) (* (sqrt (- (sqrt x) (sqrt 1))) (sqrt x))))>
0.624 * * * * [progress]: [ 31 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (+ (sqrt x) 1)) (* (sqrt (- (sqrt x) 1)) (sqrt x))))>
0.624 * * * * [progress]: [ 32 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (+ (sqrt x) 1)) (* (sqrt (- (sqrt x) 1)) (sqrt x))))>
0.624 * * * * [progress]: [ 33 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt 1) (* (sqrt (- x 1)) (sqrt x))))>
0.624 * * * * [progress]: [ 34 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt (sqrt (- x 1))) (* (sqrt (sqrt (- x 1))) (sqrt x))))>
0.624 * * * * [progress]: [ 35 / 42 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (- x 1)) (sqrt x))))>
0.624 * * * * [progress]: [ 36 / 42 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))))>
0.624 * * * * [progress]: [ 37 / 42 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- (* x x) (* 1 1))) (sqrt x)) (sqrt (+ x 1))))>
0.624 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))>
0.624 * * * * [progress]: [ 39 / 42 ] simplifiying candidate #<alt (λ (x) (* (sqrt x) (sqrt (- x 1))))>
0.624 * * * * [progress]: [ 40 / 42 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))))>
0.624 * * * * [progress]: [ 41 / 42 ] simplifiying candidate #<alt (λ (x) (- x (+ (* 1/8 (/ 1 x)) 1/2)))>
0.624 * * * * [progress]: [ 42 / 42 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
0.625 * [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)))))
0.625 * * [simplify]: iteration 1: (87 enodes)
0.655 * * [simplify]: iteration 2: (351 enodes)
0.729 * * [simplify]: iteration 3: (587 enodes)
0.878 * * [simplify]: iteration 4: (1126 enodes)
1.479 * * [simplify]: Extracting #0: cost 25 inf + 0
1.479 * * [simplify]: Extracting #1: cost 180 inf + 0
1.486 * * [simplify]: Extracting #2: cost 403 inf + 1488
1.492 * * [simplify]: Extracting #3: cost 301 inf + 22530
1.507 * * [simplify]: Extracting #4: cost 80 inf + 64192
1.524 * * [simplify]: Extracting #5: cost 8 inf + 86028
1.543 * * [simplify]: Extracting #6: cost 0 inf + 89084
1.574 * [simplify]: Simplified to (expm1 (* (sqrt x) (sqrt (+ -1 x)))), (log1p (* (sqrt x) (sqrt (+ -1 x)))), (- (* x x) x), (* (sqrt x) (sqrt (+ -1 x))), (- (* x x) x), (log (* (sqrt x) (sqrt (+ -1 x)))), (log (* (sqrt x) (sqrt (+ -1 x)))), (exp (* (sqrt x) (sqrt (+ -1 x)))), (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)), (* (cbrt (* (sqrt x) (sqrt (+ -1 x)))) (cbrt (* (sqrt x) (sqrt (+ -1 x))))), (cbrt (* (sqrt x) (sqrt (+ -1 x)))), (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)), (- (* x x) x), (sqrt (* (sqrt x) (sqrt (+ -1 x)))), (sqrt (* (sqrt x) (sqrt (+ -1 x)))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))), (* (sqrt (+ -1 x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))), (* (fabs (cbrt x)) (sqrt (+ -1 x))), (* (sqrt (+ -1 x)) (sqrt (sqrt x))), (sqrt (+ -1 x)), (* (sqrt (+ -1 x)) (sqrt (sqrt x))), (sqrt (+ -1 x)), (* (cbrt (sqrt (+ -1 x))) (sqrt x)), (* (sqrt x) (sqrt (cbrt (+ -1 x)))), (* (sqrt x) (sqrt (sqrt (+ -1 x)))), (* (sqrt x) (sqrt (+ -1 x))), (* (sqrt x) (sqrt (+ -1 (sqrt x)))), (* (sqrt x) (sqrt (+ -1 (sqrt x)))), (* (sqrt x) (sqrt (+ -1 (sqrt x)))), (* (sqrt x) (sqrt (+ -1 x))), (* (sqrt x) (sqrt (sqrt (+ -1 x)))), (* (sqrt x) (sqrt (+ -1 x))), (* (sqrt (fma (* x x) x -1)) (sqrt x)), (* (sqrt x) (sqrt (fma x x -1))), (real->posit16 (* (sqrt x) (sqrt (+ -1 x)))), (- (* (* x +nan.0) (- (* x x) x)) (* x +nan.0)), (- (- x (/ 1/8 x)) 1/2), (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))
1.577 * * * [progress]: adding candidates to table
1.964 * * [progress]: iteration 2 / 4
1.964 * * * [progress]: picking best candidate
1.968 * * * * [pick]: Picked  #<alt (λ (x) (- (- x (/ 1/8 x)) 1/2))>
1.968 * * * [progress]: localizing error
1.977 * * * [progress]: generating rewritten candidates
1.977 * * * [progress]: generating series expansions
1.977 * * * [progress]: simplifying candidates
1.977 * [simplify]: Simplifying 
1.977 * * [simplify]: iteration 1: (0 enodes)
1.977 * * [simplify]: Extracting #0: cost 0 inf + 0
1.977 * [simplify]: Simplified to 
1.977 * * * [progress]: adding candidates to table
1.977 * * [progress]: iteration 3 / 4
1.977 * * * [progress]: picking best candidate
1.980 * * * * [pick]: Picked  #<alt (λ (x) (pow (* (- x 1) x) (/ 1 2)))>
1.980 * * * [progress]: localizing error
2.008 * * * [progress]: generating rewritten candidates
2.008 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.025 * * * [progress]: generating series expansions
2.025 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.026 * [backup-simplify]: Simplify (pow (* (- x 1) x) (/ 1 2)) into (pow (* x (- x 1)) 1/2)
2.026 * [approximate]: Taking taylor expansion of (pow (* x (- x 1)) 1/2) in (x) around 0
2.026 * [taylor]: Taking taylor expansion of (pow (* x (- x 1)) 1/2) in x
2.026 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* x (- x 1))))) in x
2.026 * [taylor]: Taking taylor expansion of (* 1/2 (log (* x (- x 1)))) in x
2.026 * [taylor]: Taking taylor expansion of 1/2 in x
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of (log (* x (- x 1))) in x
2.026 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x
2.026 * [taylor]: Taking taylor expansion of x in x
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [taylor]: Taking taylor expansion of (- x 1) in x
2.026 * [taylor]: Taking taylor expansion of x in x
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [taylor]: Taking taylor expansion of 1 in x
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (- 1) into -1
2.027 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.027 * [backup-simplify]: Simplify (* 0 -1) into 0
2.027 * [backup-simplify]: Simplify (- 0) into 0
2.027 * [backup-simplify]: Simplify (+ 1 0) into 1
2.028 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
2.028 * [backup-simplify]: Simplify (log -1) into (log -1)
2.029 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x))
2.029 * [backup-simplify]: Simplify (* 1/2 (+ (log -1) (log x))) into (* 1/2 (+ (log -1) (log x)))
2.029 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log -1) (log x)))) into (exp (* 1/2 (+ (log -1) (log x))))
2.029 * [taylor]: Taking taylor expansion of (pow (* x (- x 1)) 1/2) in x
2.029 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* x (- x 1))))) in x
2.029 * [taylor]: Taking taylor expansion of (* 1/2 (log (* x (- x 1)))) in x
2.030 * [taylor]: Taking taylor expansion of 1/2 in x
2.030 * [backup-simplify]: Simplify 1/2 into 1/2
2.030 * [taylor]: Taking taylor expansion of (log (* x (- x 1))) in x
2.030 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x
2.030 * [taylor]: Taking taylor expansion of x in x
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [taylor]: Taking taylor expansion of (- x 1) in x
2.030 * [taylor]: Taking taylor expansion of x in x
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [taylor]: Taking taylor expansion of 1 in x
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (- 1) into -1
2.030 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.030 * [backup-simplify]: Simplify (* 0 -1) into 0
2.031 * [backup-simplify]: Simplify (- 0) into 0
2.031 * [backup-simplify]: Simplify (+ 1 0) into 1
2.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1
2.032 * [backup-simplify]: Simplify (log -1) into (log -1)
2.032 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x))
2.032 * [backup-simplify]: Simplify (* 1/2 (+ (log -1) (log x))) into (* 1/2 (+ (log -1) (log x)))
2.033 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log -1) (log x)))) into (exp (* 1/2 (+ (log -1) (log x))))
2.033 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log -1) (log x)))) into (exp (* 1/2 (+ (log -1) (log x))))
2.034 * [backup-simplify]: Simplify (- 0) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1
2.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.036 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x))
2.036 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 (+ (log -1) (log x)))) into (- 1/2)
2.037 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log -1) (log x)))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/2 (+ (log -1) (log x)))))
2.038 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/2 (+ (log -1) (log x))))) into (* -1/2 (exp (* 1/2 (+ (log -1) (log x)))))
2.038 * [backup-simplify]: Simplify (- 0) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0
2.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
2.041 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x))
2.042 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 -1) (* 0 (+ (log -1) (log x))))) into (- 1/4)
2.043 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log -1) (log x)))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into (* -1/8 (exp (* 1/2 (+ (log -1) (log x)))))
2.044 * [backup-simplify]: Simplify (* -1/8 (exp (* 1/2 (+ (log -1) (log x))))) into (* -1/8 (exp (* 1/2 (+ (log -1) (log x)))))
2.045 * [backup-simplify]: Simplify (+ (* (* -1/8 (exp (* 1/2 (+ (log -1) (log x))))) (pow x 2)) (+ (* (* -1/2 (exp (* 1/2 (+ (log -1) (log x))))) x) (exp (* 1/2 (+ (log -1) (log x)))))) into (- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x))))))))
2.045 * [backup-simplify]: Simplify (pow (* (- (/ 1 x) 1) (/ 1 x)) (/ 1 2)) into (pow (/ (- (/ 1 x) 1) x) 1/2)
2.045 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1) x) 1/2) in (x) around 0
2.045 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1) x) 1/2) in x
2.045 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1) x)))) in x
2.045 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1) x))) in x
2.045 * [taylor]: Taking taylor expansion of 1/2 in x
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1) x)) in x
2.045 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x
2.045 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x
2.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.045 * [taylor]: Taking taylor expansion of x in x
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (/ 1 1) into 1
2.046 * [taylor]: Taking taylor expansion of 1 in x
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [taylor]: Taking taylor expansion of x in x
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (+ 1 0) into 1
2.046 * [backup-simplify]: Simplify (/ 1 1) into 1
2.046 * [backup-simplify]: Simplify (log 1) into 0
2.047 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.047 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x))
2.047 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1)
2.047 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1) x) 1/2) in x
2.047 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1) x)))) in x
2.047 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1) x))) in x
2.047 * [taylor]: Taking taylor expansion of 1/2 in x
2.047 * [backup-simplify]: Simplify 1/2 into 1/2
2.047 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1) x)) in x
2.047 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x
2.047 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x
2.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.047 * [taylor]: Taking taylor expansion of x in x
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [taylor]: Taking taylor expansion of 1 in x
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [taylor]: Taking taylor expansion of x in x
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.048 * [backup-simplify]: Simplify (+ 1 0) into 1
2.048 * [backup-simplify]: Simplify (/ 1 1) into 1
2.048 * [backup-simplify]: Simplify (log 1) into 0
2.048 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.048 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x))
2.048 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1)
2.049 * [backup-simplify]: Simplify (pow x -1) into (pow x -1)
2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify (- 1) into -1
2.050 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.050 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1
2.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
2.051 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.051 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 (- (* 2 (log x))))) into (- 1/2)
2.052 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (/ -1/2 x)
2.052 * [backup-simplify]: Simplify (/ -1/2 x) into (/ -1/2 x)
2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.053 * [backup-simplify]: Simplify (- 0) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.057 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.058 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log x)))))) into (- 1/4)
2.060 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into (/ -1/8 x)
2.060 * [backup-simplify]: Simplify (/ -1/8 x) into (/ -1/8 x)
2.060 * [backup-simplify]: Simplify (+ (* (/ -1/8 (/ 1 x)) (pow (/ 1 x) 2)) (+ (* (/ -1/2 (/ 1 x)) (/ 1 x)) (pow (/ 1 x) -1))) into (- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
2.061 * [backup-simplify]: Simplify (pow (* (- (/ 1 (- x)) 1) (/ 1 (- x))) (/ 1 2)) into (pow (/ (+ (/ 1 x) 1) x) 1/2)
2.061 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1) x) 1/2) in (x) around 0
2.061 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1) x) 1/2) in x
2.061 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ (/ 1 x) 1) x)))) in x
2.061 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ (/ 1 x) 1) x))) in x
2.061 * [taylor]: Taking taylor expansion of 1/2 in x
2.061 * [backup-simplify]: Simplify 1/2 into 1/2
2.061 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1) x)) in x
2.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x
2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x
2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.061 * [taylor]: Taking taylor expansion of x in x
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [backup-simplify]: Simplify (/ 1 1) into 1
2.061 * [taylor]: Taking taylor expansion of 1 in x
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [taylor]: Taking taylor expansion of x in x
2.061 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.062 * [backup-simplify]: Simplify (+ 1 0) into 1
2.062 * [backup-simplify]: Simplify (/ 1 1) into 1
2.063 * [backup-simplify]: Simplify (log 1) into 0
2.063 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.063 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x))
2.064 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1)
2.064 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1) x) 1/2) in x
2.064 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ (/ 1 x) 1) x)))) in x
2.064 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ (/ 1 x) 1) x))) in x
2.064 * [taylor]: Taking taylor expansion of 1/2 in x
2.064 * [backup-simplify]: Simplify 1/2 into 1/2
2.064 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1) x)) in x
2.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x
2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x
2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.064 * [taylor]: Taking taylor expansion of x in x
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [backup-simplify]: Simplify (/ 1 1) into 1
2.064 * [taylor]: Taking taylor expansion of 1 in x
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [taylor]: Taking taylor expansion of x in x
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.065 * [backup-simplify]: Simplify (+ 1 0) into 1
2.065 * [backup-simplify]: Simplify (/ 1 1) into 1
2.066 * [backup-simplify]: Simplify (log 1) into 0
2.066 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.066 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x))
2.066 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1)
2.066 * [backup-simplify]: Simplify (pow x -1) into (pow x -1)
2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ 0 1) into 1
2.068 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.070 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.071 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 (- (* 2 (log x))))) into 1/2
2.071 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 1/2 1) 1)))) into (/ 1/2 x)
2.071 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x)
2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.073 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.077 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.078 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log x)))))) into (- 1/4)
2.079 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into (/ -1/8 x)
2.079 * [backup-simplify]: Simplify (/ -1/8 x) into (/ -1/8 x)
2.080 * [backup-simplify]: Simplify (+ (* (/ -1/8 (/ 1 (- x))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/2 (/ 1 (- x))) (/ 1 (- x))) (pow (/ 1 (- x)) -1))) into (+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
2.080 * * * [progress]: simplifying candidates
2.080 * * * * [progress]: [ 1 / 33 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (pow (* (- x 1) x) (/ 1 2)))))>
2.080 * * * * [progress]: [ 2 / 33 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (pow (* (- x 1) x) (/ 1 2)))))>
2.080 * * * * [progress]: [ 3 / 33 ] simplifiying candidate #<alt (λ (x) (exp (* (+ (log (- x 1)) (log x)) (/ 1 2))))>
2.080 * * * * [progress]: [ 4 / 33 ] simplifiying candidate #<alt (λ (x) (exp (* (log (* (- x 1) x)) (/ 1 2))))>
2.080 * * * * [progress]: [ 5 / 33 ] simplifiying candidate #<alt (λ (x) (exp (* (log (* (- x 1) x)) (/ 1 2))))>
2.080 * * * * [progress]: [ 6 / 33 ] simplifiying candidate #<alt (λ (x) (pow (* (- x 1) x) (* 1 (/ 1 2))))>
2.081 * * * * [progress]: [ 7 / 33 ] simplifiying candidate #<alt (λ (x) (pow (* (- x 1) x) (* 1 (/ 1 2))))>
2.081 * * * * [progress]: [ 8 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt (/ 1 2))))>
2.081 * * * * [progress]: [ 9 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (sqrt (/ 1 2))) (sqrt (/ 1 2))))>
2.081 * * * * [progress]: [ 10 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2)))) (/ (cbrt 1) (cbrt 2))))>
2.081 * * * * [progress]: [ 11 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2))) (/ (cbrt 1) (sqrt 2))))>
2.081 * * * * [progress]: [ 12 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) 2)))>
2.081 * * * * [progress]: [ 13 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt 1) (cbrt 2))))>
2.081 * * * * [progress]: [ 14 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (sqrt 1) (sqrt 2))) (/ (sqrt 1) (sqrt 2))))>
2.081 * * * * [progress]: [ 15 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ (sqrt 1) 1)) (/ (sqrt 1) 2)))>
2.081 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ 1 (cbrt 2))))>
2.081 * * * * [progress]: [ 17 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ 1 (sqrt 2))) (/ 1 (sqrt 2))))>
2.081 * * * * [progress]: [ 18 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ 1 1)) (/ 1 2)))>
2.081 * * * * [progress]: [ 19 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) 1) (/ 1 2)))>
2.081 * * * * [progress]: [ 20 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) 1) (/ 1 2)))>
2.081 * * * * [progress]: [ 21 / 33 ] simplifiying candidate #<alt (λ (x) (* (pow (- x 1) (/ 1 2)) (pow x (/ 1 2))))>
2.081 * * * * [progress]: [ 22 / 33 ] simplifiying candidate #<alt (λ (x) (pow (pow (* (- x 1) x) (/ 1 2)) 1))>
2.081 * * * * [progress]: [ 23 / 33 ] simplifiying candidate #<alt (λ (x) (exp (log (pow (* (- x 1) x) (/ 1 2)))))>
2.081 * * * * [progress]: [ 24 / 33 ] simplifiying candidate #<alt (λ (x) (log (exp (pow (* (- x 1) x) (/ 1 2)))))>
2.082 * * * * [progress]: [ 25 / 33 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (pow (* (- x 1) x) (/ 1 2))) (cbrt (pow (* (- x 1) x) (/ 1 2)))) (cbrt (pow (* (- x 1) x) (/ 1 2)))))>
2.082 * * * * [progress]: [ 26 / 33 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (pow (* (- x 1) x) (/ 1 2)) (pow (* (- x 1) x) (/ 1 2))) (pow (* (- x 1) x) (/ 1 2)))))>
2.082 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #<alt (λ (x) (* (sqrt (pow (* (- x 1) x) (/ 1 2))) (sqrt (pow (* (- x 1) x) (/ 1 2)))))>
2.082 * * * * [progress]: [ 28 / 33 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (* (- x 1) x) (/ 1 2))))>
2.082 * * * * [progress]: [ 29 / 33 ] simplifiying candidate #<alt (λ (x) (* (pow (* (- x 1) x) (/ (/ 1 2) 2)) (pow (* (- x 1) x) (/ (/ 1 2) 2))))>
2.082 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (pow (* (- x 1) x) (/ 1 2)))))>
2.082 * * * * [progress]: [ 31 / 33 ] simplifiying candidate #<alt (λ (x) (- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x)))))))))>
2.082 * * * * [progress]: [ 32 / 33 ] simplifiying candidate #<alt (λ (x) (- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2)))>
2.082 * * * * [progress]: [ 33 / 33 ] simplifiying candidate #<alt (λ (x) (+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2)))>
2.083 * [simplify]: Simplifying (expm1 (pow (* (- x 1) x) (/ 1 2))), (log1p (pow (* (- x 1) x) (/ 1 2))), (* (+ (log (- x 1)) (log x)) (/ 1 2)), (* (log (* (- x 1) x)) (/ 1 2)), (* (log (* (- x 1) x)) (/ 1 2)), (* 1 (/ 1 2)), (* 1 (/ 1 2)), (pow (* (- x 1) x) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))), (pow (* (- x 1) x) (sqrt (/ 1 2))), (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2)))), (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2))), (pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) 1)), (pow (* (- x 1) x) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))), (pow (* (- x 1) x) (/ (sqrt 1) (sqrt 2))), (pow (* (- x 1) x) (/ (sqrt 1) 1)), (pow (* (- x 1) x) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (- x 1) x) (/ 1 (sqrt 2))), (pow (* (- x 1) x) (/ 1 1)), (pow (* (- x 1) x) 1), (pow (* (- x 1) x) 1), (pow (- x 1) (/ 1 2)), (pow x (/ 1 2)), (log (pow (* (- x 1) x) (/ 1 2))), (exp (pow (* (- x 1) x) (/ 1 2))), (* (cbrt (pow (* (- x 1) x) (/ 1 2))) (cbrt (pow (* (- x 1) x) (/ 1 2)))), (cbrt (pow (* (- x 1) x) (/ 1 2))), (* (* (pow (* (- x 1) x) (/ 1 2)) (pow (* (- x 1) x) (/ 1 2))) (pow (* (- x 1) x) (/ 1 2))), (sqrt (pow (* (- x 1) x) (/ 1 2))), (sqrt (pow (* (- x 1) x) (/ 1 2))), (pow (* (- x 1) x) (/ (/ 1 2) 2)), (pow (* (- x 1) x) (/ (/ 1 2) 2)), (real->posit16 (pow (* (- x 1) x) (/ 1 2))), (- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x)))))))), (- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2)), (+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
2.084 * * [simplify]: iteration 1: (80 enodes)
2.155 * * [simplify]: iteration 2: (369 enodes)
2.309 * * [simplify]: iteration 3: (886 enodes)
2.692 * * [simplify]: Extracting #0: cost 21 inf + 0
2.693 * * [simplify]: Extracting #1: cost 151 inf + 1
2.695 * * [simplify]: Extracting #2: cost 370 inf + 1028
2.705 * * [simplify]: Extracting #3: cost 288 inf + 36983
2.725 * * [simplify]: Extracting #4: cost 123 inf + 76624
2.755 * * [simplify]: Extracting #5: cost 32 inf + 108821
2.789 * * [simplify]: Extracting #6: cost 2 inf + 125393
2.824 * * [simplify]: Extracting #7: cost 0 inf + 127001
2.856 * [simplify]: Simplified to (expm1 (sqrt (* x (- x 1)))), (log1p (sqrt (* x (- x 1)))), (log (sqrt (* x (- x 1)))), (log (sqrt (* x (- x 1)))), (log (sqrt (* x (- x 1)))), 1/2, 1/2, (pow (* x (- x 1)) (* (cbrt 1/2) (cbrt 1/2))), (pow (* x (- x 1)) (sqrt 1/2)), (pow (* x (- x 1)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* x (- x 1)) (/ 1 (sqrt 2))), (* x (- x 1)), (pow (* x (- x 1)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* x (- x 1)) (/ 1 (sqrt 2))), (* x (- x 1)), (pow (* x (- x 1)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* x (- x 1)) (/ 1 (sqrt 2))), (* x (- x 1)), (* x (- x 1)), (* x (- x 1)), (sqrt (- x 1)), (sqrt x), (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)))), (* (* x (- x 1)) (sqrt (* x (- x 1)))), (sqrt (sqrt (* x (- x 1)))), (sqrt (sqrt (* x (- x 1)))), (pow (* x (- x 1)) 1/4), (pow (* x (- x 1)) 1/4), (real->posit16 (sqrt (* x (- x 1)))), (- (* (sqrt x) (exp (* 1/2 (log -1)))) (* (* (sqrt x) (exp (* 1/2 (log -1)))) (* x (+ 1/2 (* x 1/8))))), (+ (- -1/2 (/ 1/8 x)) x), (+ (fma -1 x (/ 1/8 x)) 1/2)
2.857 * * * [progress]: adding candidates to table
3.066 * [progress]: [Phase 3 of 3] Extracting.
3.067 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (* (sqrt (- x 1)) (sqrt x)))> #<alt (λ (x) (pow (* (- x 1) x) (/ 1 2)))> #<alt (λ (x) (- (- x (/ 1/8 x)) 1/2))>)
3.067 * * * [regime-changes]: Trying 2 branch expressions: (x (* (sqrt (- x 1)) (sqrt x)))
3.068 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (* (sqrt (- x 1)) (sqrt x)))> #<alt (λ (x) (pow (* (- x 1) x) (/ 1 2)))> #<alt (λ (x) (- (- x (/ 1/8 x)) 1/2))>)
3.093 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (#<alt (λ (x) (* (sqrt (- x 1)) (sqrt x)))> #<alt (λ (x) (pow (* (- x 1) x) (/ 1 2)))> #<alt (λ (x) (- (- x (/ 1/8 x)) 1/2))>)
3.145 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
3.146 * [simplify]: Simplifying (- (- x (/ 1/8 x)) 1/2)
3.146 * * [simplify]: iteration 1: (6 enodes)
3.147 * * [simplify]: Extracting #0: cost 1 inf + 0
3.147 * * [simplify]: Extracting #1: cost 3 inf + 0
3.147 * * [simplify]: Extracting #2: cost 4 inf + 1
3.147 * * [simplify]: Extracting #3: cost 4 inf + 2
3.147 * * [simplify]: Extracting #4: cost 0 inf + 250
3.147 * [simplify]: Simplified to (- (- x (/ 1/8 x)) 1/2)
7.805 * [regime-testing]: Baseline error score: 0.4143495718260036
7.808 * [regime-testing]: Oracle error score: 0.0010001250156269534
7.812 * [regime-testing]: End program error score: 0.4143495718260036